## Mikelić, Andro

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 Author ID: mikelic.andro Published as: Mikelić, Andro; Mikelić, A.; Mikelic, Andro; Mikelic, A. Homepage: http://amikelic.free.fr/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef · theses.fr
 Documents Indexed: 159 Publications since 1982 5 Contributions as Editor Co-Authors: 82 Co-Authors with 145 Joint Publications 2,322 Co-Co-Authors
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### Co-Authors

 19 single-authored 14 Jäger, Willi 12 Bourgeat, Alain P. 12 Wheeler, Mary Fanett 11 Shillor, Meir 10 Čanić, Sunčica 9 Clopeau, Thierry 9 Marciniak-Czochra, Anna K. 9 van Duijn, Cornelis Johannes 9 Wick, Thomas 8 Klarbring, Anders 8 Piatnitski, Andrey L. 8 Primicerio, Mario 7 Allaire, Grégoire 7 Fasano, Antonio 6 Marušić-Paloka, Eduard 6 Tambača, Josip 5 Aganović, Ibrahim 5 Farina, Angiolo 4 Dufrêche, Jean-François 4 Guidoboni, Giovanna 4 Neuss-Radu, Maria 3 Carraro, Thomas 3 Elliott, Charles M. 3 Ferrín, Jose Luis 3 Lee, Sanghyun 3 Tapiéro, Roland 2 Antonić, Nenad 2 Baranger, Jacques 2 Brizzi, Robert 2 Choquet, Catherine 2 Devigne, Vincent 2 Gilbert, Robert Pertsch 2 Goll, Christian Reinhold 2 Limić, Nedžad 2 Neuss, Nicolas 2 Paoli, Laetitia A. 2 Pop, Iuliu Sorin 2 Robert, Raoul 2 Rosier, Carole 2 Wright, Steve 1 Andrews, Kevin T. 1 Belhadj, Mohamed 1 Bernard, Olivier 1 Blavier, Eric 1 Bodin, J. 1 Boiarkine, Oleg 1 Bruining, Hans 1 Cancès, Eric 1 Capasso, Vincenzo 1 Elezović, Neven 1 Feireisl, Eduard 1 Fusi, Lorenzo 1 Gerbeau, Jean-Frédéric 1 Hartley, Craig J. 1 Hornung, Ulrich 1 Iliev, Oleg P. 1 Kim, Taebeom 1 Knabner, Peter 1 Korkut, Luka 1 Kowall, Chris 1 Kozlov, Sergeĭ Mikhaĭlovich 1 Kuzmin, Dmitri 1 Lamponi, Daniele 1 Laurençot, Philippe 1 Luckhaus, Stephan 1 Maazouz, Abderrim 1 Marusvsić, Edouard 1 Meacci, Luca 1 Nečasová, Šárka 1 Popov, Peter 1 Pousin, J. 1 Pousin, Jérôme Gabriel 1 Prnić, Žarko 1 Rosenstrauch, Doreen 1 Rosso, Fabio 1 Saccomandi, Giuseppe 1 Schwab, Christoph 1 Scovazzi, Guglielmo 1 Sequeira, Adélia 1 Shi, Peter 1 Stiehl, Thomas-Peter 1 Suhadolc, Anton 1 Toro, Eleuterio F. 1 Tutek, Zvonimir 1 van Duijn, Cj 1 Zeltz, Eric
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### Serials

 8 SIAM Journal on Mathematical Analysis 7 Computational Geosciences 7 Multiscale Modeling & Simulation 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Applicable Analysis 4 Mathematical Methods in the Applied Sciences 4 Nonlinearity 4 Asymptotic Analysis 4 Glasnik Matematički. Serija III 4 Nonlinear Analysis. Real World Applications 4 Nonlinear Analysis. Theory, Methods & Applications 3 Computer Methods in Applied Mechanics and Engineering 3 International Journal of Engineering Science 3 Journal of Mathematical Physics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal of Differential Equations 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 SIAM Journal on Applied Mathematics 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Comptes Rendus. Mécanique. Académie des Sciences, Paris 2 Archive for Rational Mechanics and Analysis 2 Journal of Computational Physics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Applied Mathematics Letters 2 Mathematical and Computer Modelling 2 Bollettino della Unione Matemàtica Italiana. Serie VII. A 2 Computational and Applied Mathematics 2 NoDEA. Nonlinear Differential Equations and Applications 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Networks and Heterogeneous Media 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 IMA Journal of Applied Mathematics 1 Inverse Problems 1 Journal of Fluid Mechanics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Optimization 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Proceedings of the American Mathematical Society 1 Physica D 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Advances in Mathematical Sciences and Applications 1 Continuum Mechanics and Thermodynamics 1 SIAM Journal on Scientific Computing 1 Grazer Mathematische Berichte 1 Rad Hrvatske Akademije Znanosti i Umjetnosti. Matematičke Znanosti 1 Calculus of Variations and Partial Differential Equations 1 Annales Mathématiques Blaise Pascal 1 Mathematics and Mechanics of Solids 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Vietnam Journal of Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Far East Journal of Applied Mathematics 1 Interfaces and Free Boundaries 1 SIAM Journal on Applied Dynamical Systems 1 Oberwolfach Reports 1 Lecture Notes in Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 GEM - International Journal on Geomathematics
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### Fields

 119 Partial differential equations (35-XX) 118 Fluid mechanics (76-XX) 43 Mechanics of deformable solids (74-XX) 17 Biology and other natural sciences (92-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Classical thermodynamics, heat transfer (80-XX) 9 Numerical analysis (65-XX) 6 Geophysics (86-XX) 5 General and overarching topics; collections (00-XX) 3 Ordinary differential equations (34-XX) 3 Integral transforms, operational calculus (44-XX) 3 Probability theory and stochastic processes (60-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Systems theory; control (93-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

131 Publications have been cited 2,037 times in 1,313 Documents Cited by Year
On the interface boundary condition of Beavers, Joseph, and Saffman. Zbl 0969.76088
Jäger, Willi; Mikelic, Andro
2000
On the roughness-induced effective boundary conditions for an incompressible viscous flow. Zbl 1009.76017
Jäger, Willi; Mikelić, Andro
2001
Frictional contact problems with normal compliance. Zbl 0662.73079
Klarbring, A.; Mikelić, A.; Shillor, M.
1988
On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions. Zbl 0911.76014
Clopeau, Thierry; Mikelić, Andro; Robert, Raoul
1998
Convergence of iterative coupling for coupled flow and geomechanics. Zbl 1392.35235
Mikelić, Andro; Wheeler, Mary F.
2013
A phase-field method for propagating fluid-filled fractures coupled to a surrounding porous medium. Zbl 1317.74028
Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas
2015
Stochastic two-scale convergence in the mean and applications. Zbl 0808.60056
Bourgeat, Alain; Mikelić, Andro; Wright, Steve
1994
On the boundary conditions at the contact interface between a porous medium and a free fluid. Zbl 0878.76076
Jäger, Willi; Mikelić, Andro
1996
Convergence of the homogenization process for a double-porosity model of immiscible two-phase flow. Zbl 0866.35018
Bourgeat, Alain; Luckhaus, Stephan; Mikelić, Andro
1996
Homogenizing the acoustic properties of the seabed. I. Zbl 0958.35108
Gilbert, R. P.; Mikelić, A.
2000
A global existence result for the equations describing unsaturated flow in porous media with dynamic capillary pressure. Zbl 1191.35156
Mikelić, Andro
2010
On friction problems with normal compliance. Zbl 0707.73068
Klarbring, A.; Mikelić, A.; Shillor, M.
1989
Asymptotic analysis of the laminar viscous flow over a porous bed. Zbl 0980.35124
Jäger, Willi; Mikelic, Andro; Neuss, Nicolas
2001
Numerical convergence study of iterative coupling for coupled flow and geomechanics. Zbl 1386.76115
Mikelić, Andro; Wang, Bin; Wheeler, Mary F.
2014
Phase-field modeling of a fluid-driven fracture in a poroelastic medium. Zbl 1390.86010
Mikelić, A.; Wheeler, M. F.; Wick, Thomas
2015
Homogenizing the acoustic properties of the seabed. II. Zbl 1050.76562
Clopeau, Th.; Ferrín, J. L.; Gilbert, R. P.; Mikelić, A.
2001
Homogenization of nonstationary Navier-Stokes equations in a domain with a grained boundary. Zbl 0758.35007
Mikelić, A.
1991
A quasi-static phase-field approach to pressurized fractures. Zbl 1316.35287
Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas
2015
Couette flows over a rough boundary and drag reduction. Zbl 1062.76012
Jäger, Willi; Mikelić, Andro
2003
Rigorous upscaling of the reactive flow through a pore, under dominant Péclet and Damköhler numbers. Zbl 1120.35007
Mikelić, Andro; Devigne, Vincent; Van Duijn, C. J.
2006
Modeling viscoelastic behavior of arterial walls and their interaction with pulsatile blood flow. Zbl 1121.35091
Čanić, Sunčica; Tambača, Josip; Guidoboni, Giovanna; Mikelić, Andro; Hartley, Craig J.; Rosenstrauch, Doreen
2006
Reactive transport through an array of cells with semi-permeable membranes. Zbl 0824.76083
Hornung, U.; Jäger, W.; Mikelić, A.
1994
Effective equations modeling the flow of a viscous incompressible fluid through a long elastic tube arising in the study of blood flow through small arteries. Zbl 1088.76077
Canic, Suncica; Mikelic, Andro
2003
On the stochastic Cahn-Hilliard equation. Zbl 0729.60057
Elezović, N.; Mikelić, A.
1991
Pressure jump interface law for the Stokes-Darcy coupling: confirmation by direct numerical simulations. Zbl 1294.76233
Carraro, T.; Goll, C.; Marciniak-Czochra, A.; Mikelić, A.
2013
Homogenizing the acoustic properties of a porous matrix containing an incompressible inviscid fluid. Zbl 1107.76400
Ferrin, J. L.; Mikelić, A.
2003
Phase-field modeling of two phase fluid filled fractures in a poroelastic medium. Zbl 1401.74084
Lee, Sanghyun; Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas
2018
On the interface law between a deformable porous medium containing a viscous fluid and an elastic body. Zbl 1257.35030
Mikelić, Andro; Wheeler, Mary F.
2012
Analytical and variational numerical methods for unstable miscible displacement flows in porous media. Zbl 1375.76188
Scovazzi, Guglielmo; Wheeler, Mary F.; Mikelić, Andro; Lee, Sanghyun
2017
Homogenization approach to the dispersion theory for reactive transport through porous media. Zbl 1213.35057
Allaire, Grégoire; Mikelić, Andro; Piatnitski, Andrey
2010
Effective laws for the Poisson equation on domains with curved oscillating boundaries. Zbl 1274.35019
Neuss, N.; Neuss-Radu, M.; Mikelić, A.
2006
Effective pressure interface law for transport phenomena between an unconfined fluid and a porous medium using homogenization. Zbl 1255.35030
Marciniak-Czochra, Anna; Mikelić, Andro
2012
Stationary solutions to a quasi-Newtonian flow with viscous heating. Zbl 0838.76003
Baranger, Jacques; Mikelić, Andro
1995
A global existence result for the quasistatic frictional contact problem with normal compliance. Zbl 0761.73104
Klarbring, A.; Mikelić, A.; Shillor, M.
1991
Phase-field modeling through iterative splitting of hydraulic fractures in a poroelastic medium. Zbl 1419.74216
Mikelić, A.; Wheeler, M. F.; Wick, T.
2019
Homogenization of the linearized ionic transport equations in rigid periodic porous media. Zbl 1314.76039
Allaire, Grégoire; Mikelić, Andro; Piatnitski, Andrey
2010
Fluid-structure interaction in a pre-stressed tube with thick elastic walls. I: The stationary Stokes problem. Zbl 1260.35147
Mikelić, Andro; Guidoboni, Giovanna; Čanić, Sunčica
2007
Theory of the dynamic Biot-Allard equations and their link to the quasi-static Biot system. Zbl 1331.35283
Mikelić, Andro; Wheeler, Mary F.
2012
Effective interface conditions for the forced infiltration of a viscous fluid into a porous medium using homogenization. Zbl 1423.35306
Carraro, Thomas; Goll, Christian; Marciniak-Czochra, Anna; Mikelić, Andro
2015
Self-consistent effective equations modeling blood flow in medium-to-large compliant arteries. Zbl 1081.35073
Canic, Suncica; Lamponi, Daniele; Mikelic, Andro; Tambaca, Josip
2005
Effective equations for two-phase flow with trapping on the micro scale. Zbl 1060.76097
van Duijn, C. J.; Mikelic, A.; Pop, I. S.
2002
Phase-field modeling of proppant-filled fractures in a poroelastic medium. Zbl 1439.74359
Lee, Sanghyun; Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas
2016
Effective fluid flow in a porous medium containing a thin fissure. Zbl 0847.35106
Bourgeat, Alain; Marušić-Paloka, Eduard; Mikelić, Andro
1995
Ion transport in porous media: derivation of the macroscopic equations using upscaling and properties of the effective coefficients. Zbl 1392.76071
Allaire, Grégoire; Brizzi, Robert; Dufrêche, Jean-François; Mikelić, Andro; Piatnitski, Andrey
2013
Homogenization of the inviscid incompressible fluid flow through a 2D porous medium. Zbl 0922.35136
Mikelic, Andro; Paoli, Laetitia
1999
On upscaling certain flows in deformable porous media. Zbl 1156.74321
Iliev, Oleg; Mikelić, Andro; Popov, Peter
2008
One-dimensional thermoelastic contact with a stress-dependent radiation condition. Zbl 0770.35035
Andrews, Kevin T.; Mikelić, Andro; Shi, Peter; Shillor, Meir; Wright, Steve
1992
Homogenization of a polymer flow through a porous medium. Zbl 0863.76082
Bourgeat, Alain; Mikelić, Andro
1996
An error estimate for correctors in the homogenization of the Stokes and the Navier-Stokes equations in a porous medium. Zbl 0881.35091
Marušić-Paloka, Eduard; Mikelić, Andro
1996
On the double porosity model of a single phase flow in random media. Zbl 1060.76113
Bourgeat, A.; Mikelić, A.; Piatnitski, A.
2003
The derivation of a nonlinear filtration law including the inertia effects via homogenization. Zbl 0965.35131
Marušić-Paloka, Eduard; Mikelić, Andro
2000
Rigorous upscaling of the infinite adsorption rate reactive flow under dominant Peclet number through a pore. Zbl 1181.35013
Mikelić, Andro; Rosier, Carole
2007
A two-dimensional effective model describing fluid-structure interaction in blood flow: analysis, simulation and experimental validation. Zbl 1173.76429
Čanić, Sunčica; Mikelić, Andro; Tambača, Josip
2005
Effective equations of two-phase flow in random media. Zbl 0824.35099
Bourgeat, A.; Kozlov, S. M.; Mikelić, A.
1995
A note on homogenization of Bingham flow through a porous medium. Zbl 0836.76091
Bourgeat, A.; Mikelić, A.
1993
On the derivation of the Buckley-Leverett model from the two fluid Navier-Stokes equations in a thin domain. Zbl 0940.76092
Mikelić, Andro; Paoli, Laetitia
1997
Random double porosity model. (Modèle de double porosité aléatoire.) Zbl 1024.35008
Bourgeat, Alain; Mikelić, Andro; Piatnitski, Andrey
1998
Homogenization theory and applications to filtration through porous media. Zbl 1077.76567
Mikelić, Andro
2000
Renormalization group second-order approximation for singularly perturbed nonlinear ordinary differential equations. Zbl 1404.34071
Marciniak-Czochra, Anna; Mikelić, Andro; Stiehl, Thomas
2018
Homogenization limit of a model system for interaction of flow, chemical reactions, and mechanics in cell tissues. Zbl 1226.93016
Jäger, Willi; Mikelić, Andro; Neuss-Radu, Maria
2011
A rigorous derivation of the equations for the clamped Biot-Kirchhoff-Love poroelastic plate. Zbl 1309.35165
Marciniak-Czochra, Anna; Mikelić, Andro
2015
Effective slip law for general viscous flows over an oscillating surface. Zbl 1364.76041
Mikelić, Andro; Nečasová, Šárka; Neuss-Radu, Maria
2013
Weak nonlinear corrections for Darcy’s law. Zbl 0869.76085
Bourgeat, Alain; Marušić-Paloka, Eduard; Mikelić, Andro
1996
Analysis of model equations for stress-enhanced diffusion in coal layers. I: Existence of a weak solution. Zbl 1173.35570
Mikelić, Andro; Bruining, Hans
2008
Mathematical theory of stationary miscible filtration. Zbl 0735.35100
Mikelić, A.
1991
Rigorous upscaling of the reactive flow with finite kinetics and under dominant Péclet number. Zbl 1170.76057
Choquet, Catherine; Mikelić, Andro
2009
Laplace transform approach to the rigorous upscaling of the infinite adsorption rate reactive flow under dominant Peclet number through a pore. Zbl 1154.35304
Choquet, Catherine; Mikelić, Andro
2008
Asymptotic analysis of the Poisson-Boltzmann equation describing electrokinetics in porous media. Zbl 1264.35159
Allaire, Grégoire; Dufrêche, Jean-François; Mikelić, Andro; Piatnitski, Andrey
2013
On the stationary quasi-Newtonian flow obeying a power-law. Zbl 0840.35081
Blavier, Eric; Mikelić, Andro
1995
On the equations governing the flow of mechanically incompressible, but thermally expansible, viscous fluids. Zbl 1200.35213
Farina, Angiolo; Fasano, Antonio; Mikelić, Andro
2008
Modeling solute transport through unsaturated porous media using homogenization. I. Zbl 1213.35064
Mikelic, Andro; Rosier, Carole
2004
An existence result for the equations describing a gas-liquid two-phase flow. Zbl 1173.76412
Mikelić, Andro
2009
Mathematical derivation of the power law describing polymer flow through a thin slab. Zbl 0819.76007
Mikelić, Andro; Tapiéro, Roland
1995
Homogenization of stationary flow of miscible fluids in a domain with grained boundary. Zbl 0645.76099
Mikelić, A.; Aganović, I.
1988
A convergence theorem for homogenization of two-phase miscible flow through fractured reservoirs with uniform fracture distributions. Zbl 0653.76067
Mikelić, Andro
1989
Thermoporoelasticity via homogenization: modeling and formal two-scale expansions. Zbl 1425.74396
van Duijn, C. J.; Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas
2019
Mathematical derivation of the Darcy-type law with memory effects, governing transient flow through porous media. Zbl 0815.35086
Mikelić, Andro
1994
Analysis of differential equations modelling the reactive flow through a deformable system of cells. Zbl 1160.74034
Jäger, Willi; Mikelić, Andro; Neuss-Radu, Maria
2009
Effective equations describing the flow of a viscous incompressible fluid through a long elastic tube. Zbl 1177.76078
Čanić, Sunčica; Mikelić, Andro
2002
On the effective equations of a viscous incompressible fluid flow through a filter of finite thickness. Zbl 0938.76101
Jäger, Willi; Mikelić, Andro
1998
Homogenization of an elastic material with inclusions in frictionless contact. Zbl 1126.74480
Mikelić, A.; Shillor, M.; Tapiéro, R.
1998
Effective model of the fluid flow through elastic tube with variable radius. Zbl 1162.76331
Tambača, Josip; Čanić, Sunčica; Mikelić, Andro
2005
A positivity-preserving ALE finite element scheme for convection-diffusion equations in moving domains. Zbl 1218.65106
Boiarkine, Oleg; Kuzmin, Dmitri; Čanić, Sunčica; Guidoboni, Giovanna; Mikelić, Andro
2011
Rigorous derivation of a hyperbolic model for Taylor dispersion. Zbl 1223.35036
Mikelić, Andro; Van Duijn, C. J.
2011
Role of non-ideality for the ion transport in porous media: derivation of the macroscopic equations using upscaling. Zbl 1349.76803
Allaire, Grégoire; Brizzi, Robert; Dufrêche, Jean-François; Mikelić, Andro; Piatnitski, Andrey
2014
Derivation of a poroelastic flexural shell model. Zbl 1342.35383
Mikelić, Andro; Tambača, Josip
2016
Homogenization of flows through porous media with permeable grains. Zbl 0903.76087
Fasano, Antonio; Mikelić, Andro; Primicerio, Mario
1998
Duality applied to contact problems with friction. Zbl 0717.49031
Klarbring, A.; Mikelić, A.; Shillor, M.
1990
Inertial effects for a stationary viscous incompressible flow in a porous medium. (Effets inertiels pour un écoulement stationnaire visqueux incompressible dans un milieu poreux.) Zbl 0830.76087
Mikelić, Andro
1995
The rigid punch problem with friction. Zbl 0749.73072
Klarbring, A.; Mikelić, A.; Shillor, M.
1991
Homogenization in a porous media under a nonhomgeneous boundary condition. Zbl 0629.76102
Mikelić, A.; Aganović, I.
1987
Multiscale problems in science and technology. Challenges to mathematical analysis and perspectives. Proceedings of the conference on multiscale problems in science and technology, Dubrovnik, Croatia, September 3–9, 2000. Zbl 0989.00039
2002
On the equations describing a relaxation toward a statistical equilibrium state in the two-dimensional perfect fluid dynamics. Zbl 0913.76040
Mikelic, Andro; Robert, Raoul
1998
Homogenization approach to filtration through a fibrous medium. Zbl 1142.76054
Belhadj, Mohamed; Cancès, Eric; Gerbeau, Jean-Frédéric; Mikelić, Andro
2007
Modeling and homogenizing a problem of absorption/desorption in porous media. Zbl 1133.35318
Mikelić, Andro; Primicerio, Mario
2006
Remark on the result on homogenization in hydrodynamical lubrication by G. Bayada and M. Chambat. Zbl 0736.76016
Mikelić, A.
1991
Existence for the Cahn-Hilliard phase separation model with a nondifferentiable energy. Zbl 0758.35001
Elliott, Charles M.; Mikelić, Andro
1991
Effective pressure boundary condition for the filtration through porous medium via homogenization. Zbl 1442.76038
Carraro, Thomas; Marušić-Paloka, Eduard; Mikelić, Andro
2018
On the flow conditions at the boundary between a porous medium and an impervious solid. Zbl 0840.35083
Jäger, W.; Mikelić, A.
1994
Effective behaviour of a porous medium containing a thin fissure. Zbl 0921.73022
Bourgeat, Alain; Marusvsić, Edouard; Mikelić, Andro
1994
Mathematical theory and simulations of thermoporoelasticity. Zbl 1442.74062
van Duijn, Cornelis J.; Mikelić, Andro; Wick, Thomas
2020
Phase-field modeling through iterative splitting of hydraulic fractures in a poroelastic medium. Zbl 1419.74216
Mikelić, A.; Wheeler, M. F.; Wick, T.
2019
Thermoporoelasticity via homogenization: modeling and formal two-scale expansions. Zbl 1425.74396
van Duijn, C. J.; Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas
2019
A monolithic phase-field model of a fluid-driven fracture in a nonlinear poroelastic medium. Zbl 1446.74203
van Duijn, Cj; Mikelić, Andro; Wick, Thomas
2019
Phase-field modeling of two phase fluid filled fractures in a poroelastic medium. Zbl 1401.74084
Lee, Sanghyun; Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas
2018
Renormalization group second-order approximation for singularly perturbed nonlinear ordinary differential equations. Zbl 1404.34071
Marciniak-Czochra, Anna; Mikelić, Andro; Stiehl, Thomas
2018
Effective pressure boundary condition for the filtration through porous medium via homogenization. Zbl 1442.76038
Carraro, Thomas; Marušić-Paloka, Eduard; Mikelić, Andro
2018
An introduction to the homogenization modeling of non-Newtonian and electrokinetic flows in porous media. Zbl 1407.76128
Mikelić, Andro
2018
Analytical and variational numerical methods for unstable miscible displacement flows in porous media. Zbl 1375.76188
Scovazzi, Guglielmo; Wheeler, Mary F.; Mikelić, Andro; Lee, Sanghyun
2017
Ion transport through deformable porous media: derivation of the macroscopic equations using upscaling. Zbl 1476.76074
Allaire, Grégoire; Bernard, Olivier; Dufrêche, Jean-François; Mikelić, Andro
2017
Shadow limit using renormalization group method and center manifold method. Zbl 1376.37116
Marciniak-Czochra, Anna; Mikelić, Andro
2017
Shadow limit for parabolic-ode systems through a cut-off argument. Zbl 1387.35026
Marciniak-Czochra, Anna; Mikelić, Andro
2017
Phase-field modeling of proppant-filled fractures in a poroelastic medium. Zbl 1439.74359
Lee, Sanghyun; Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas
2016
Derivation of a poroelastic flexural shell model. Zbl 1342.35383
Mikelić, Andro; Tambača, Josip
2016
A phase-field method for propagating fluid-filled fractures coupled to a surrounding porous medium. Zbl 1317.74028
Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas
2015
Phase-field modeling of a fluid-driven fracture in a poroelastic medium. Zbl 1390.86010
Mikelić, A.; Wheeler, M. F.; Wick, Thomas
2015
A quasi-static phase-field approach to pressurized fractures. Zbl 1316.35287
Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas
2015
Effective interface conditions for the forced infiltration of a viscous fluid into a porous medium using homogenization. Zbl 1423.35306
Carraro, Thomas; Goll, Christian; Marciniak-Czochra, Anna; Mikelić, Andro
2015
A rigorous derivation of the equations for the clamped Biot-Kirchhoff-Love poroelastic plate. Zbl 1309.35165
Marciniak-Czochra, Anna; Mikelić, Andro
2015
Numerical convergence study of iterative coupling for coupled flow and geomechanics. Zbl 1386.76115
Mikelić, Andro; Wang, Bin; Wheeler, Mary F.
2014
Role of non-ideality for the ion transport in porous media: derivation of the macroscopic equations using upscaling. Zbl 1349.76803
Allaire, Grégoire; Brizzi, Robert; Dufrêche, Jean-François; Mikelić, Andro; Piatnitski, Andrey
2014
Isothermal water flows in low porosity porous media in presence of vapor-liquid phase change. Zbl 1302.76172
Farina, A.; Bodin, J.; Clopeau, T.; Fasano, A.; Meacci, L.; Mikelić, A.
2014
Convergence of iterative coupling for coupled flow and geomechanics. Zbl 1392.35235
Mikelić, Andro; Wheeler, Mary F.
2013
Pressure jump interface law for the Stokes-Darcy coupling: confirmation by direct numerical simulations. Zbl 1294.76233
Carraro, T.; Goll, C.; Marciniak-Czochra, A.; Mikelić, A.
2013
Ion transport in porous media: derivation of the macroscopic equations using upscaling and properties of the effective coefficients. Zbl 1392.76071
Allaire, Grégoire; Brizzi, Robert; Dufrêche, Jean-François; Mikelić, Andro; Piatnitski, Andrey
2013
Effective slip law for general viscous flows over an oscillating surface. Zbl 1364.76041
Mikelić, Andro; Nečasová, Šárka; Neuss-Radu, Maria
2013
Asymptotic analysis of the Poisson-Boltzmann equation describing electrokinetics in porous media. Zbl 1264.35159
Allaire, Grégoire; Dufrêche, Jean-François; Mikelić, Andro; Piatnitski, Andrey
2013
On the interface law between a deformable porous medium containing a viscous fluid and an elastic body. Zbl 1257.35030
Mikelić, Andro; Wheeler, Mary F.
2012
Effective pressure interface law for transport phenomena between an unconfined fluid and a porous medium using homogenization. Zbl 1255.35030
Marciniak-Czochra, Anna; Mikelić, Andro
2012
Theory of the dynamic Biot-Allard equations and their link to the quasi-static Biot system. Zbl 1331.35283
Mikelić, Andro; Wheeler, Mary F.
2012
Homogenization limit of a model system for interaction of flow, chemical reactions, and mechanics in cell tissues. Zbl 1226.93016
Jäger, Willi; Mikelić, Andro; Neuss-Radu, Maria
2011
A positivity-preserving ALE finite element scheme for convection-diffusion equations in moving domains. Zbl 1218.65106
Boiarkine, Oleg; Kuzmin, Dmitri; Čanić, Sunčica; Guidoboni, Giovanna; Mikelić, Andro
2011
Rigorous derivation of a hyperbolic model for Taylor dispersion. Zbl 1223.35036
Mikelić, Andro; Van Duijn, C. J.
2011
Existence of a unique solution to a nonlinear moving-boundary problem of mixed type arising in modeling blood flow. Zbl 1245.35154
Čanić, Sunčica; Mikelić, Andro; Kim, Tae-Beom; Guidoboni, Giovanna
2011
Global-in-time solutions for the isothermal Matovich-Pearson equations. Zbl 1206.35263
Feireisl, Eduard; Laurençot, Philippe; Mikelić, Andro
2011
Erratum: “Homogenization of the linearized ionic transport equations in rigid periodic porous media” [J. Math. Phys. 51, 123103, 18 p. (2010)]. Zbl 1317.76075
Allaire, Grégoire; Mikelić, Andro; Piatnitski, Andrey
2011
A global existence result for the equations describing unsaturated flow in porous media with dynamic capillary pressure. Zbl 1191.35156
Mikelić, Andro
2010
Homogenization approach to the dispersion theory for reactive transport through porous media. Zbl 1213.35057
Allaire, Grégoire; Mikelić, Andro; Piatnitski, Andrey
2010
Homogenization of the linearized ionic transport equations in rigid periodic porous media. Zbl 1314.76039
Allaire, Grégoire; Mikelić, Andro; Piatnitski, Andrey
2010
Rigorous upscaling of the reactive flow with finite kinetics and under dominant Péclet number. Zbl 1170.76057
Choquet, Catherine; Mikelić, Andro
2009
An existence result for the equations describing a gas-liquid two-phase flow. Zbl 1173.76412
Mikelić, Andro
2009
Analysis of differential equations modelling the reactive flow through a deformable system of cells. Zbl 1160.74034
Jäger, Willi; Mikelić, Andro; Neuss-Radu, Maria
2009
On upscaling certain flows in deformable porous media. Zbl 1156.74321
Iliev, Oleg; Mikelić, Andro; Popov, Peter
2008
Analysis of model equations for stress-enhanced diffusion in coal layers. I: Existence of a weak solution. Zbl 1173.35570
Mikelić, Andro; Bruining, Hans
2008
Laplace transform approach to the rigorous upscaling of the infinite adsorption rate reactive flow under dominant Peclet number through a pore. Zbl 1154.35304
Choquet, Catherine; Mikelić, Andro
2008
On the equations governing the flow of mechanically incompressible, but thermally expansible, viscous fluids. Zbl 1200.35213
Farina, Angiolo; Fasano, Antonio; Mikelić, Andro
2008
Fluid-structure interaction in a pre-stressed tube with thick elastic walls. I: The stationary Stokes problem. Zbl 1260.35147
Mikelić, Andro; Guidoboni, Giovanna; Čanić, Sunčica
2007
Rigorous upscaling of the infinite adsorption rate reactive flow under dominant Peclet number through a pore. Zbl 1181.35013
Mikelić, Andro; Rosier, Carole
2007
Homogenization approach to filtration through a fibrous medium. Zbl 1142.76054
Belhadj, Mohamed; Cancès, Eric; Gerbeau, Jean-Frédéric; Mikelić, Andro
2007
Rigorous upscaling of the reactive flow through a pore, under dominant Péclet and Damköhler numbers. Zbl 1120.35007
Mikelić, Andro; Devigne, Vincent; Van Duijn, C. J.
2006
Modeling viscoelastic behavior of arterial walls and their interaction with pulsatile blood flow. Zbl 1121.35091
Čanić, Sunčica; Tambača, Josip; Guidoboni, Giovanna; Mikelić, Andro; Hartley, Craig J.; Rosenstrauch, Doreen
2006
Effective laws for the Poisson equation on domains with curved oscillating boundaries. Zbl 1274.35019
Neuss, N.; Neuss-Radu, M.; Mikelić, A.
2006
Modeling and homogenizing a problem of absorption/desorption in porous media. Zbl 1133.35318
Mikelić, Andro; Primicerio, Mario
2006
Self-consistent effective equations modeling blood flow in medium-to-large compliant arteries. Zbl 1081.35073
Canic, Suncica; Lamponi, Daniele; Mikelic, Andro; Tambaca, Josip
2005
A two-dimensional effective model describing fluid-structure interaction in blood flow: analysis, simulation and experimental validation. Zbl 1173.76429
Čanić, Sunčica; Mikelić, Andro; Tambača, Josip
2005
Effective model of the fluid flow through elastic tube with variable radius. Zbl 1162.76331
Tambača, Josip; Čanić, Sunčica; Mikelić, Andro
2005
Modeling solute transport through unsaturated porous media using homogenization. I. Zbl 1213.35064
Mikelic, Andro; Rosier, Carole
2004
Couette flows over a rough boundary and drag reduction. Zbl 1062.76012
Jäger, Willi; Mikelić, Andro
2003
Effective equations modeling the flow of a viscous incompressible fluid through a long elastic tube arising in the study of blood flow through small arteries. Zbl 1088.76077
Canic, Suncica; Mikelic, Andro
2003
Homogenizing the acoustic properties of a porous matrix containing an incompressible inviscid fluid. Zbl 1107.76400
Ferrin, J. L.; Mikelić, A.
2003
On the double porosity model of a single phase flow in random media. Zbl 1060.76113
Bourgeat, A.; Mikelić, A.; Piatnitski, A.
2003
On an averaged model for the 2-fluid immiscible flow with surface tension in a thin cylindrical tube. Zbl 1134.76325
Mikelić, Andro
2003
Recent developments in multiscale problems coming from fluid mechanics. Zbl 1205.76256
Mikelić, Andro
2003
Effective equations for two-phase flow with trapping on the micro scale. Zbl 1060.76097
van Duijn, C. J.; Mikelic, A.; Pop, I. S.
2002
Effective equations describing the flow of a viscous incompressible fluid through a long elastic tube. Zbl 1177.76078
Čanić, Sunčica; Mikelić, Andro
2002
Multiscale problems in science and technology. Challenges to mathematical analysis and perspectives. Proceedings of the conference on multiscale problems in science and technology, Dubrovnik, Croatia, September 3–9, 2000. Zbl 0989.00039
2002
Derivation of the diphasic Biot’s law for an elastic solid matrix containing isolated fluid drops. Zbl 1019.35010
Clopeau, Thierry; Ferrín, Jose Luis; Mikelić, Andro
2002
Tangential flow on a rough surface and Navier’s law. (Ecoulement tangentiel sur une surface rugueuse et loi de Navier.) Zbl 1125.76331
Mikelić, Andro; Devigne, Vincent
2002
The 3D flow of a liquid through a porous medium with absorbing and swelling granules. Zbl 1007.35105
Fasano, Antonio; Mikelić, Andro
2002
On the roughness-induced effective boundary conditions for an incompressible viscous flow. Zbl 1009.76017
Jäger, Willi; Mikelić, Andro
2001
Asymptotic analysis of the laminar viscous flow over a porous bed. Zbl 0980.35124
Jäger, Willi; Mikelic, Andro; Neuss, Nicolas
2001
Homogenizing the acoustic properties of the seabed. II. Zbl 1050.76562
Clopeau, Th.; Ferrín, J. L.; Gilbert, R. P.; Mikelić, A.
2001
On the interface boundary condition of Beavers, Joseph, and Saffman. Zbl 0969.76088
Jäger, Willi; Mikelic, Andro
2000
Homogenizing the acoustic properties of the seabed. I. Zbl 0958.35108
Gilbert, R. P.; Mikelić, A.
2000
The derivation of a nonlinear filtration law including the inertia effects via homogenization. Zbl 0965.35131
Marušić-Paloka, Eduard; Mikelić, Andro
2000
Homogenization theory and applications to filtration through porous media. Zbl 1077.76567
Mikelić, Andro
2000
On the filtration through porous media with partially soluble pemeable grains. Zbl 0949.35077
Fasano, Antonio; Mikelić, Andro
2000
On the boundary conditions at the contact interface between two porous media. Zbl 0934.35135
Jäger, W.; Mikelić, A.
2000
Homogenization of the inviscid incompressible fluid flow through a 2D porous medium. Zbl 0922.35136
Mikelic, Andro; Paoli, Laetitia
1999
Homogenization of the Laplace equation in a partially perforated domain. Zbl 1043.35030
Jäger, W.; Mikelić, A.
1999
On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions. Zbl 0911.76014
Clopeau, Thierry; Mikelić, Andro; Robert, Raoul
1998
Random double porosity model. (Modèle de double porosité aléatoire.) Zbl 1024.35008
Bourgeat, Alain; Mikelić, Andro; Piatnitski, Andrey
1998
On the effective equations of a viscous incompressible fluid flow through a filter of finite thickness. Zbl 0938.76101
Jäger, Willi; Mikelić, Andro
1998
Homogenization of an elastic material with inclusions in frictionless contact. Zbl 1126.74480
Mikelić, A.; Shillor, M.; Tapiéro, R.
1998
Homogenization of flows through porous media with permeable grains. Zbl 0903.76087
Fasano, Antonio; Mikelić, Andro; Primicerio, Mario
1998
On the equations describing a relaxation toward a statistical equilibrium state in the two-dimensional perfect fluid dynamics. Zbl 0913.76040
Mikelic, Andro; Robert, Raoul
1998
On the derivation of the Buckley-Leverett model from the two fluid Navier-Stokes equations in a thin domain. Zbl 0940.76092
Mikelić, Andro; Paoli, Laetitia
1997
Nonstationary flows with viscous heating effects. Zbl 0896.35108
Clopeau, Thierry; Mikelić, Andro
1997
On the boundary conditions at the contact interface between a porous medium and a free fluid. Zbl 0878.76076
Jäger, Willi; Mikelić, Andro
1996
Convergence of the homogenization process for a double-porosity model of immiscible two-phase flow. Zbl 0866.35018
Bourgeat, Alain; Luckhaus, Stephan; Mikelić, Andro
1996
Homogenization of a polymer flow through a porous medium. Zbl 0863.76082
Bourgeat, Alain; Mikelić, Andro
1996
An error estimate for correctors in the homogenization of the Stokes and the Navier-Stokes equations in a porous medium. Zbl 0881.35091
Marušić-Paloka, Eduard; Mikelić, Andro
1996
Weak nonlinear corrections for Darcy’s law. Zbl 0869.76085
Bourgeat, Alain; Marušić-Paloka, Eduard; Mikelić, Andro
1996
Stationary solutions to a quasi-Newtonian flow with viscous heating. Zbl 0838.76003
Baranger, Jacques; Mikelić, Andro
1995
Effective fluid flow in a porous medium containing a thin fissure. Zbl 0847.35106
Bourgeat, Alain; Marušić-Paloka, Eduard; Mikelić, Andro
1995
Effective equations of two-phase flow in random media. Zbl 0824.35099
Bourgeat, A.; Kozlov, S. M.; Mikelić, A.
1995
On the stationary quasi-Newtonian flow obeying a power-law. Zbl 0840.35081
Blavier, Eric; Mikelić, Andro
1995
Mathematical derivation of the power law describing polymer flow through a thin slab. Zbl 0819.76007
Mikelić, Andro; Tapiéro, Roland
1995
Inertial effects for a stationary viscous incompressible flow in a porous medium. (Effets inertiels pour un écoulement stationnaire visqueux incompressible dans un milieu poreux.) Zbl 0830.76087
Mikelić, Andro
1995
Stochastic two-scale convergence in the mean and applications. Zbl 0808.60056
Bourgeat, Alain; Mikelić, Andro; Wright, Steve
1994
...and 31 more Documents
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### Cited by 1,664 Authors

 49 Mikelić, Andro 37 Wheeler, Mary Fanett 27 Wick, Thomas 24 Shillor, Meir 23 Sofonea, Mircea 22 Pop, Iuliu Sorin 21 Fernández, Jose Ramon 20 Kumar, Kundan 17 Piatnitski, Andrey L. 17 Radu, Florin Adrian 15 Amaziane, Brahim 15 Čanić, Sunčica 15 Pankratov, Leonid S. 14 Marušić-Paloka, Eduard 13 Lee, Sanghyun 13 Nordbotten, Jan Martin 13 Pažanin, Igor 12 Allaire, Grégoire 12 Feireisl, Eduard 12 Gérard-Varet, David 12 Quarteroni, Alfio M. 11 Nazarov, Sergeĭ Aleksandrovich 11 Schweizer, Ben 11 Shamaev, Alexei S. 11 Shumilova, Vladlena Valerievna 11 Wang, Xiaoming 10 Bukač, Martina 10 Neuss-Radu, Maria 10 Panasenko, Grigory P. 10 Ptashnyk, Mariya 10 Rohan, Eduard 10 Suárez-Grau, Francisco Javier 9 Chechkin, Gregory Aleksandrovich 9 Marciniak-Czochra, Anna K. 9 Migórski, Stanisław 9 Woukeng, Jean Louis 8 Amirat, Youcef Aït 8 Campo, Marco A. 8 Castelletto, Nicola 8 Discacciati, Marco 8 Gilbert, Robert Pertsch 8 Han, Weimin 8 He, Xiaoming 8 Jäger, Willi 8 Kozlov, Vladimir A. 8 Masmoudi, Nader 8 Muha, Boris 8 Rivière, Beatrice M. 7 Anguiano, María 7 Barboteu, Mikaël 7 Bunoiu, Renata 7 Chemetov, Nikolai V. 7 Cipriano, Fernanda 7 Gaspar, Francisco José 7 Knabner, Peter 7 Kuttler, Kenneth L. jun. 7 Lacave, Christophe 7 Muntean, Adrian 7 Nečasová, Šárka 7 Novotný, Antonín 7 Oyarzúa, Ricardo 7 Stavre, Ruxandra 7 Sun, Weiwei 7 Tchelepi, Hamdi A. 7 Xin, Zhouping 7 Yotov, Ivan 6 Almani, Tameem 6 Andrews, Kevin T. 6 Berre, Inga 6 Both, Jakub Wiktor 6 Bourgeat, Alain P. 6 Brown, Donald L. 6 Choquet, Catherine 6 El Jarroudi, Mustapha 6 Gahn, Markus 6 Gatica, Gabriel N. 6 Gunzburger, Max D. 6 Jurak, Mladen 6 Layton, William J. 6 Lee, Hyesuk Kwon 6 Mallea-Zepeda, Exequiel 6 Neukamm, Stefan 6 Panchenko, Alexander N. 6 Rodrigo, Carmen 6 Saad, Mazen 6 Singh, Gurpreet 6 Tambača, Josip 6 van Duijn, Cornelis Johannes 6 Zunino, Paolo 5 Ahn, Jeongho 5 Amrouche, Chérif 5 Bause, Markus 5 Brillard, Alain 5 Bucur, Dorin 5 Cai, Mingchao 5 Cao, Yang 5 Dalibard, Anne-Laure 5 Dana, Saumik 5 de Lorenzis, Laura 5 Eggenweiler, Elissa ...and 1,564 more Authors
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### Cited in 212 Serials

 98 Computer Methods in Applied Mechanics and Engineering 55 Journal of Mathematical Analysis and Applications 53 Computational Geosciences 43 Applicable Analysis 40 Journal of Differential Equations 39 Journal of Computational Physics 38 Journal of Computational and Applied Mathematics 33 Computers & Mathematics with Applications 29 Journal of Fluid Mechanics 28 Nonlinear Analysis. Real World Applications 26 Mathematical Methods in the Applied Sciences 26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 22 Journal of Mathematical Fluid Mechanics 21 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 21 Multiscale Modeling & Simulation 19 Journal of Mathematical Sciences (New York) 18 Archive for Rational Mechanics and Analysis 15 Numerische Mathematik 15 Applied Mathematics Letters 15 SIAM Journal on Mathematical Analysis 14 Applied Mathematics and Optimization 14 Journal of Scientific Computing 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Applied Numerical Mathematics 13 Mathematical and Computer Modelling 13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 12 International Journal of Engineering Science 12 Applied Mathematics and Computation 12 Journal de Mathématiques Pures et Appliquées. Neuvième Série 11 Nonlinear Analysis. Theory, Methods & Applications 10 Numerical Methods for Partial Differential Equations 10 SIAM Journal on Applied Mathematics 9 Communications in Mathematical Physics 9 Quarterly of Applied Mathematics 9 Applied Mathematical Modelling 9 SIAM Journal on Scientific Computing 9 Networks and Heterogeneous Media 8 Journal of Engineering Mathematics 8 Journal of Mathematical Physics 8 SIAM Journal on Numerical Analysis 8 European Journal of Applied Mathematics 7 Mathematics of Computation 7 Physica D 7 Applications of Mathematics 7 Calculus of Variations and Partial Differential Equations 7 Mathematics and Mechanics of Solids 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Discrete and Continuous Dynamical Systems. Series B 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Communications on Pure and Applied Analysis 7 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 7 Discrete and Continuous Dynamical Systems. Series S 6 Fluid Dynamics 6 Acta Applicandae Mathematicae 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Communications in Partial Differential Equations 6 Journal of Elasticity 6 Stochastic Processes and their Applications 6 Mathematical Problems in Engineering 6 Communications in Computational Physics 5 Journal of the Mechanics and Physics of Solids 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Computational Mechanics 5 Vietnam Journal of Mathematics 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Mediterranean Journal of Mathematics 5 GEM - International Journal on Geomathematics 4 International Journal for Numerical Methods in Engineering 4 Mathematics and Computers in Simulation 4 Numerical Functional Analysis and Optimization 4 Zeitschrift für Analysis und ihre Anwendungen 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Asymptotic Analysis 4 NoDEA. Nonlinear Differential Equations and Applications 4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 4 Abstract and Applied Analysis 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Mathematical Modelling of Natural Phenomena 3 The Annals of Probability 3 Calcolo 3 Journal of Functional Analysis 3 Meccanica 3 SIAM Journal on Control and Optimization 3 Applied Mathematics and Mechanics. (English Edition) 3 Journal of Nonlinear Science 3 Annales Mathématiques Blaise Pascal 3 Engineering Analysis with Boundary Elements 3 Discrete and Continuous Dynamical Systems 3 Doklady Mathematics 3 Computing and Visualization in Science 3 European Journal of Mechanics. A. Solids 3 Science China. Mathematics 3 Afrika Matematika 3 Advances in Nonlinear Analysis 2 Acta Mechanica 2 Computers and Fluids 2 Communications on Pure and Applied Mathematics 2 International Journal for Numerical Methods in Fluids 2 Journal of Mathematical Biology 2 Mathematical Biosciences ...and 112 more Serials
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### Cited in 35 Fields

 820 Fluid mechanics (76-XX) 703 Partial differential equations (35-XX) 464 Mechanics of deformable solids (74-XX) 307 Numerical analysis (65-XX) 101 Calculus of variations and optimal control; optimization (49-XX) 83 Biology and other natural sciences (92-XX) 50 Geophysics (86-XX) 44 Probability theory and stochastic processes (60-XX) 38 Classical thermodynamics, heat transfer (80-XX) 26 Statistical mechanics, structure of matter (82-XX) 21 Operator theory (47-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Optics, electromagnetic theory (78-XX) 11 Functional analysis (46-XX) 11 Systems theory; control (93-XX) 10 Ordinary differential equations (34-XX) 4 Operations research, mathematical programming (90-XX) 3 General and overarching topics; collections (00-XX) 3 Integral transforms, operational calculus (44-XX) 3 Computer science (68-XX) 3 Mechanics of particles and systems (70-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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