Edit Profile Mikelić, Andro Compute Distance To: Compute Author ID: mikelic.andro Published as: Mikelic, A.; Mikelic, Andro; Mikelić, A.; Mikelić, Andro Homepage: http://amikelic.free.fr/ External Links: MGP · Wikidata · ORCID · ResearchGate · dblp · GND Documents Indexed: 164 Publications since 1982, including 3 Books all top 5 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 Cabrera García, Miguel 1 Cancès, Eric 1 Capasso, Vincenzo 1 Elezović, Neven 1 Feireisl, Eduard 1 Gerbeau, Jean-Frédéric 1 Hartley, Craig J. 1 Hornung, Ulrich 1 Iliev, Oleg P. 1 Kim, Tae-Beom 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 Schwab, Christoph 1 Scovazzi, Guglielmo 1 Shi, Peter 1 Stiehl, Thomas-Peter 1 Suhadolc, Anton 1 Tutek, Zvonimir 1 van Duijn, Cj 1 Veselić, Krešimir 1 Wang, Bin 1 Zeltz, Eric all top 5 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 all top 5 Fields 119 Partial differential equations (35-XX) 117 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) 10 Numerical analysis (65-XX) 6 Geophysics (86-XX) 5 General and overarching topics; collections (00-XX) 3 Ordinary differential equations (34-XX) 3 Probability theory and stochastic processes (60-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral transforms, operational calculus (44-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 131 Publications have been cited 1,794 times in 1,161 Documents Cited by ▼ Year ▼ On the interface boundary condition of Beavers, Joseph, and Saffman. Zbl 0969.76088Jäger, Willi; Mikelic, Andro 145 2000 On the roughness-induced effective boundary conditions for an incompressible viscous flow. Zbl 1009.76017Jäger, Willi; Mikelić, Andro 113 2001 Frictional contact problems with normal compliance. Zbl 0662.73079Klarbring, A.; Mikelić, A.; Shillor, M. 96 1988 On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions. Zbl 0911.76014Clopeau, Thierry; Mikelić, Andro; Robert, Raoul 88 1998 Convergence of iterative coupling for coupled flow and geomechanics. Zbl 1392.35235Mikelić, Andro; Wheeler, Mary F. 73 2013 Stochastic two-scale convergence in the mean and applications. Zbl 0808.60056Bourgeat, Alain; Mikelić, Andro; Wright, Steve 53 1994 A phase-field method for propagating fluid-filled fractures coupled to a surrounding porous medium. Zbl 1317.74028Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 48 2015 On the boundary conditions at the contact interface between a porous medium and a free fluid. Zbl 0878.76076Jäger, Willi; Mikelić, Andro 46 1996 Homogenizing the acoustic properties of the seabed. I. Zbl 0958.35108Gilbert, R. P.; Mikelić, A. 44 2000 Convergence of the homogenization process for a double-porosity model of immiscible two-phase flow. Zbl 0866.35018Bourgeat, Alain; Luckhaus, Stephan; Mikelić, Andro 43 1996 A global existence result for the equations describing unsaturated flow in porous media with dynamic capillary pressure. Zbl 1191.35156Mikelić, Andro 38 2010 Asymptotic analysis of the laminar viscous flow over a porous bed. Zbl 0980.35124Jäger, Willi; Mikelic, Andro; Neuss, Nicolas 38 2001 On friction problems with normal compliance. Zbl 0707.73068Klarbring, A.; Mikelić, A.; Shillor, M. 38 1989 Homogenizing the acoustic properties of the seabed. II. Zbl 1050.76562Clopeau, Th.; Ferrín, J. L.; Gilbert, R. P.; Mikelić, A. 35 2001 Numerical convergence study of iterative coupling for coupled flow and geomechanics. Zbl 1386.76115Mikelić, Andro; Wang, Bin; Wheeler, Mary F. 34 2014 Couette flows over a rough boundary and drag reduction. Zbl 1062.76012Jäger, Willi; Mikelić, Andro 33 2003 Homogenization of nonstationary Navier-Stokes equations in a domain with a grained boundary. Zbl 0758.35007Mikelić, A. 33 1991 Phase-field modeling of a fluid-driven fracture in a poroelastic medium. Zbl 1390.86010Mikelić, A.; Wheeler, M. F.; Wick, Thomas 32 2015 Rigorous upscaling of the reactive flow through a pore, under dominant Péclet and Damköhler numbers. Zbl 1120.35007Mikelić, Andro; Devigne, Vincent; Van Duijn, C. J. 31 2006 A quasi-static phase-field approach to pressurized fractures. Zbl 1316.35287Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 29 2015 Modeling viscoelastic behavior of arterial walls and their interaction with pulsatile blood flow. Zbl 1121.35091Čanić, Sunčica; Tambača, Josip; Guidoboni, Giovanna; Mikelić, Andro; Hartley, Craig J.; Rosenstrauch, Doreen 28 2006 Reactive transport through an array of cells with semi-permeable membranes. Zbl 0824.76083Hornung, U.; Jäger, W.; Mikelić, A. 26 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 1088.76077Canic, Suncica; Mikelic, Andro 20 2003 Pressure jump interface law for the Stokes-Darcy coupling: confirmation by direct numerical simulations. Zbl 1294.76233Carraro, T.; Goll, C.; Marciniak-Czochra, A.; Mikelić, A. 19 2013 On the interface law between a deformable porous medium containing a viscous fluid and an elastic body. Zbl 1257.35030Mikelić, Andro; Wheeler, Mary F. 18 2012 Effective laws for the Poisson equation on domains with curved oscillating boundaries. Zbl 1274.35019Neuss, N.; Neuss-Radu, M.; Mikelić, A. 17 2006 Homogenizing the acoustic properties of a porous matrix containing an incompressible inviscid fluid. Zbl 1107.76400Ferrin, J. L.; Mikelić, A. 17 2003 On the stochastic Cahn-Hilliard equation. Zbl 0729.60057Elezović, N.; Mikelić, A. 17 1991 Effective pressure interface law for transport phenomena between an unconfined fluid and a porous medium using homogenization. Zbl 1255.35030Marciniak-Czochra, Anna; Mikelić, Andro 16 2012 Homogenization of the linearized ionic transport equations in rigid periodic porous media. Zbl 1314.76039Allaire, Grégoire; Mikelić, Andro; Piatnitski, Andrey 16 2010 Homogenization approach to the dispersion theory for reactive transport through porous media. Zbl 1213.35057Allaire, Grégoire; Mikelić, Andro; Piatnitski, Andrey 16 2010 Stationary solutions to a quasi-Newtonian flow with viscous heating. Zbl 0838.76003Baranger, Jacques; Mikelić, Andro 14 1995 A global existence result for the quasistatic frictional contact problem with normal compliance. Zbl 0761.73104Klarbring, A.; Mikelić, A.; Shillor, M. 14 1991 Phase-field modeling of two phase fluid filled fractures in a poroelastic medium. Zbl 1401.74084Lee, Sanghyun; Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 13 2018 Self-consistent effective equations modeling blood flow in medium-to-large compliant arteries. Zbl 1081.35073Canic, Suncica; Lamponi, Daniele; Mikelic, Andro; Tambaca, Josip 13 2005 Effective equations for two-phase flow with trapping on the micro scale. Zbl 1060.76097van Duijn, C. J.; Mikelic, A.; Pop, I. S. 13 2002 Analytical and variational numerical methods for unstable miscible displacement flows in porous media. Zbl 1375.76188Scovazzi, Guglielmo; Wheeler, Mary F.; Mikelić, Andro; Lee, Sanghyun 12 2017 Ion transport in porous media: derivation of the macroscopic equations using upscaling and properties of the effective coefficients. Zbl 1392.76071Allaire, Grégoire; Brizzi, Robert; Dufrêche, Jean-François; Mikelić, Andro; Piatnitski, Andrey 12 2013 Fluid-structure interaction in a pre-stressed tube with thick elastic walls. I: The stationary Stokes problem. Zbl 1260.35147Mikelić, Andro; Guidoboni, Giovanna; Čanić, Sunčica 12 2007 Effective fluid flow in a porous medium containing a thin fissure. Zbl 0847.35106Bourgeat, Alain; Marušić-Paloka, Eduard; Mikelić, Andro 12 1995 Homogenization of the inviscid incompressible fluid flow through a 2D porous medium. Zbl 0922.35136Mikelic, Andro; Paoli, Laetitia 11 1999 On upscaling certain flows in deformable porous media. Zbl 1156.74321Iliev, Oleg; Mikelić, Andro; Popov, Peter 10 2008 Homogenization of a polymer flow through a porous medium. Zbl 0863.76082Bourgeat, Alain; Mikelić, Andro 10 1996 Theory of the dynamic Biot-Allard equations and their link to the quasi-static Biot system. Zbl 1331.35283Mikelić, Andro; Wheeler, Mary F. 9 2012 Rigorous upscaling of the infinite adsorption rate reactive flow under dominant Peclet number through a pore. Zbl 1181.35013Mikelić, Andro; Rosier, Carole 9 2007 A two-dimensional effective model describing fluid-structure interaction in blood flow: analysis, simulation and experimental validation. Zbl 1173.76429Čanić, Sunčica; Mikelić, Andro; Tambača, Josip 9 2005 The derivation of a nonlinear filtration law including the inertia effects via homogenization. Zbl 0965.35131Marušić-Paloka, Eduard; Mikelić, Andro 9 2000 One-dimensional thermoelastic contact with a stress-dependent radiation condition. Zbl 0770.35035Andrews, Kevin T.; Mikelić, Andro; Shi, Peter; Shillor, Meir; Wright, Steve 9 1992 Effective interface conditions for the forced infiltration of a viscous fluid into a porous medium using homogenization. Zbl 1423.35306Carraro, Thomas; Goll, Christian; Marciniak-Czochra, Anna; Mikelić, Andro 8 2015 Homogenization limit of a model system for interaction of flow, chemical reactions, and mechanics in cell tissues. Zbl 1226.93016Jäger, Willi; Mikelić, Andro; Neuss-Radu, Maria 8 2011 On the double porosity model of a single phase flow in random media. Zbl 1060.76113Bourgeat, A.; Mikelić, A.; Piatnitski, A. 8 2003 Homogenization theory and applications to filtration through porous media. Zbl 1077.76567Mikelić, Andro 8 2000 Random double porosity model. Zbl 1024.35008Bourgeat, Alain; Mikelić, Andro; Piatnitski, Andrey 8 1998 On the derivation of the Buckley-Leverett model from the two fluid Navier-Stokes equations in a thin domain. Zbl 0940.76092Mikelić, Andro; Paoli, Laetitia 8 1997 An error estimate for correctors in the homogenization of the Stokes and the Navier-Stokes equations in a porous medium. Zbl 0881.35091Marušić-Paloka, Eduard; Mikelić, Andro 8 1996 Effective equations of two-phase flow in random media. Zbl 0824.35099Bourgeat, A.; Kozlov, S. M.; Mikelić, A. 8 1995 Renormalization group second-order approximation for singularly perturbed nonlinear ordinary differential equations. Zbl 1404.34071Marciniak-Czochra, Anna; Mikelić, Andro; Stiehl, Thomas 7 2018 Effective slip law for general viscous flows over an oscillating surface. Zbl 1364.76041Mikelić, Andro; Nečasová, Šárka; Neuss-Radu, Maria 7 2013 Asymptotic analysis of the Poisson-Boltzmann equation describing electrokinetics in porous media. Zbl 1264.35159Allaire, Grégoire; Dufrêche, Jean-François; Mikelić, Andro; Piatnitski, Andrey 7 2013 Rigorous upscaling of the reactive flow with finite kinetics and under dominant Péclet number. Zbl 1170.76057Choquet, Catherine; Mikelić, Andro 7 2009 Laplace transform approach to the rigorous upscaling of the infinite adsorption rate reactive flow under dominant Peclet number through a pore. Zbl 1154.35304Choquet, Catherine; Mikelić, Andro 7 2008 A note on homogenization of Bingham flow through a porous medium. Zbl 0836.76091Bourgeat, A.; Mikelić, A. 7 1993 Mathematical theory of stationary miscible filtration. Zbl 0735.35100Mikelić, A. 7 1991 A rigorous derivation of the equations for the clamped Biot-Kirchhoff-Love poroelastic plate. Zbl 1309.35165Marciniak-Czochra, Anna; Mikelić, Andro 6 2015 An existence result for the equations describing a gas-liquid two-phase flow. Zbl 1173.76412Mikelić, Andro 6 2009 Analysis of differential equations modelling the reactive flow through a deformable system of cells. Zbl 1160.74034Jäger, Willi; Mikelić, Andro; Neuss-Radu, Maria 6 2009 Analysis of model equations for stress-enhanced diffusion in coal layers. I: Existence of a weak solution. Zbl 1173.35570Mikelić, Andro; Bruining, Hans 6 2008 On the equations governing the flow of mechanically incompressible, but thermally expansible, viscous fluids. Zbl 1200.35213Farina, Angiolo; Fasano, Antonio; Mikelić, Andro 6 2008 Weak nonlinear corrections for Darcy’s law. Zbl 0869.76085Bourgeat, Alain; Marušić-Paloka, Eduard; Mikelić, Andro 6 1996 Phase-field modeling through iterative splitting of hydraulic fractures in a poroelastic medium. Zbl 1419.74216Mikelić, A.; Wheeler, M. F.; Wick, T. 5 2019 Phase-field modeling of proppant-filled fractures in a poroelastic medium. Zbl 1439.74359Lee, Sanghyun; Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 5 2016 Role of non-ideality for the ion transport in porous media: derivation of the macroscopic equations using upscaling. Zbl 1349.76803Allaire, Grégoire; Brizzi, Robert; Dufrêche, Jean-François; Mikelić, Andro; Piatnitski, Andrey 5 2014 Effective equations describing the flow of a viscous incompressible fluid through a long elastic tube. Zbl 1177.76078Čanić, Sunčica; Mikelić, Andro 5 2002 On the effective equations of a viscous incompressible fluid flow through a filter of finite thickness. Zbl 0938.76101Jäger, Willi; Mikelić, Andro 5 1998 A convergence theorem for homogenization of two-phase miscible flow through fractured reservoirs with uniform fracture distributions. Zbl 0653.76067Mikelić, Andro 5 1989 Homogenization of stationary flow of miscible fluids in a domain with grained boundary. Zbl 0645.76099Mikelić, A.; Aganović, I. 5 1988 Rigorous derivation of a hyperbolic model for Taylor dispersion. Zbl 1223.35036Mikelić, Andro; Van Duijn, C. J. 4 2011 Modeling solute transport through unsaturated porous media using homogenization. I. Zbl 1213.35064Mikelic, Andro; Rosier, Carole 4 2004 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 0989.00039Antonić, Nenad (ed.); van Duijn, C. J. (ed.); Jäger, Willi (ed.); Mikelić, Andro (ed.) 4 2002 Homogenization of an elastic material with inclusions in frictionless contact. Zbl 1126.74480Mikelić, A.; Shillor, M.; Tapiéro, R. 4 1998 On the equations describing a relaxation toward a statistical equilibrium state in the two-dimensional perfect fluid dynamics. Zbl 0913.76040Mikelic, Andro; Robert, Raoul 4 1998 Homogenization of flows through porous media with permeable grains. Zbl 0903.76087Fasano, Antonio; Mikelić, Andro; Primicerio, Mario 4 1998 On the stationary quasi-Newtonian flow obeying a power-law. Zbl 0840.35081Blavier, Eric; Mikelić, Andro 4 1995 Inertial effects for a stationary viscous incompressible flow in a porous medium. Zbl 0830.76087Mikelić, Andro 4 1995 Mathematical derivation of the power law describing polymer flow through a thin slab. Zbl 0819.76007Mikelić, Andro; Tapiéro, Roland 4 1995 Mathematical derivation of the Darcy-type law with memory effects, governing transient flow through porous media. Zbl 0815.35086Mikelić, Andro 4 1994 Duality applied to contact problems with friction. Zbl 0717.49031Klarbring, A.; Mikelić, A.; Shillor, M. 4 1990 Derivation of a poroelastic flexural shell model. Zbl 1342.35383Mikelić, Andro; Tambača, Josip 3 2016 A positivity-preserving ALE finite element scheme for convection-diffusion equations in moving domains. Zbl 1218.65106Boiarkine, Oleg; Kuzmin, Dmitri; Čanić, Sunčica; Guidoboni, Giovanna; Mikelić, Andro 3 2011 Homogenization approach to filtration through a fibrous medium. Zbl 1142.76054Belhadj, Mohamed; Cancès, Eric; Gerbeau, Jean-Frédéric; Mikelić, Andro 3 2007 Modeling and homogenizing a problem of absorption/desorption in porous media. Zbl 1133.35318Mikelić, Andro; Primicerio, Mario 3 2006 Optimal shape design in contact problems with normal compliance and friction. Zbl 0752.73062Klarbring, A.; Mikelić, A.; Shillor, M. 3 1992 The rigid punch problem with friction. Zbl 0749.73072Klarbring, A.; Mikelić, A.; Shillor, M. 3 1991 Existence for the Cahn-Hilliard phase separation model with a nondifferentiable energy. Zbl 0758.35001Elliott, Charles M.; Mikelić, Andro 3 1991 Homogenization in a porous media under a nonhomgeneous boundary condition. Zbl 0629.76102Mikelić, A.; Aganović, I. 3 1987 Thermoporoelasticity via homogenization: modeling and formal two-scale expansions. Zbl 1425.74396van Duijn, C. J.; Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 2 2019 Ion transport through deformable porous media: derivation of the macroscopic equations using upscaling. Zbl 06775343Allaire, Grégoire; Bernard, Olivier; Dufrêche, Jean-François; Mikelić, Andro 2 2017 Shadow limit using renormalization group method and center manifold method. Zbl 1376.37116Marciniak-Czochra, Anna; Mikelić, Andro 2 2017 Isothermal water flows in low porosity porous media in presence of vapor-liquid phase change. Zbl 1302.76172Farina, A.; Bodin, J.; Clopeau, T.; Fasano, A.; Meacci, L.; Mikelić, A. 2 2014 Existence of a unique solution to a nonlinear moving-boundary problem of mixed type arising in modeling blood flow. Zbl 1245.35154Čanić, Sunčica; Mikelić, Andro; Kim, Tae-Beom; Guidoboni, Giovanna 2 2011 Mathematical theory and simulations of thermoporoelasticity. Zbl 1442.74062van Duijn, Cornelis J.; Mikelić, Andro; Wick, Thomas 1 2020 Phase-field modeling through iterative splitting of hydraulic fractures in a poroelastic medium. Zbl 1419.74216Mikelić, A.; Wheeler, M. F.; Wick, T. 5 2019 Thermoporoelasticity via homogenization: modeling and formal two-scale expansions. Zbl 1425.74396van Duijn, C. J.; Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 2 2019 Phase-field modeling of two phase fluid filled fractures in a poroelastic medium. Zbl 1401.74084Lee, Sanghyun; Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 13 2018 Renormalization group second-order approximation for singularly perturbed nonlinear ordinary differential equations. Zbl 1404.34071Marciniak-Czochra, Anna; Mikelić, Andro; Stiehl, Thomas 7 2018 Effective pressure boundary condition for the filtration through porous medium via homogenization. Zbl 1442.76038Carraro, Thomas; Marušić-Paloka, Eduard; Mikelić, Andro 1 2018 Analytical and variational numerical methods for unstable miscible displacement flows in porous media. Zbl 1375.76188Scovazzi, Guglielmo; Wheeler, Mary F.; Mikelić, Andro; Lee, Sanghyun 12 2017 Ion transport through deformable porous media: derivation of the macroscopic equations using upscaling. Zbl 06775343Allaire, Grégoire; Bernard, Olivier; Dufrêche, Jean-François; Mikelić, Andro 2 2017 Shadow limit using renormalization group method and center manifold method. Zbl 1376.37116Marciniak-Czochra, Anna; Mikelić, Andro 2 2017 Shadow limit for parabolic-ode systems through a cut-off argument. Zbl 1387.35026Marciniak-Czochra, Anna; Mikelić, Andro 1 2017 Phase-field modeling of proppant-filled fractures in a poroelastic medium. Zbl 1439.74359Lee, Sanghyun; Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 5 2016 Derivation of a poroelastic flexural shell model. Zbl 1342.35383Mikelić, Andro; Tambača, Josip 3 2016 A phase-field method for propagating fluid-filled fractures coupled to a surrounding porous medium. Zbl 1317.74028Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 48 2015 Phase-field modeling of a fluid-driven fracture in a poroelastic medium. Zbl 1390.86010Mikelić, A.; Wheeler, M. F.; Wick, Thomas 32 2015 A quasi-static phase-field approach to pressurized fractures. Zbl 1316.35287Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 29 2015 Effective interface conditions for the forced infiltration of a viscous fluid into a porous medium using homogenization. Zbl 1423.35306Carraro, Thomas; Goll, Christian; Marciniak-Czochra, Anna; Mikelić, Andro 8 2015 A rigorous derivation of the equations for the clamped Biot-Kirchhoff-Love poroelastic plate. Zbl 1309.35165Marciniak-Czochra, Anna; Mikelić, Andro 6 2015 Numerical convergence study of iterative coupling for coupled flow and geomechanics. Zbl 1386.76115Mikelić, Andro; Wang, Bin; Wheeler, Mary F. 34 2014 Role of non-ideality for the ion transport in porous media: derivation of the macroscopic equations using upscaling. Zbl 1349.76803Allaire, Grégoire; Brizzi, Robert; Dufrêche, Jean-François; Mikelić, Andro; Piatnitski, Andrey 5 2014 Isothermal water flows in low porosity porous media in presence of vapor-liquid phase change. Zbl 1302.76172Farina, A.; Bodin, J.; Clopeau, T.; Fasano, A.; Meacci, L.; Mikelić, A. 2 2014 Convergence of iterative coupling for coupled flow and geomechanics. Zbl 1392.35235Mikelić, Andro; Wheeler, Mary F. 73 2013 Pressure jump interface law for the Stokes-Darcy coupling: confirmation by direct numerical simulations. Zbl 1294.76233Carraro, T.; Goll, C.; Marciniak-Czochra, A.; Mikelić, A. 19 2013 Ion transport in porous media: derivation of the macroscopic equations using upscaling and properties of the effective coefficients. Zbl 1392.76071Allaire, Grégoire; Brizzi, Robert; Dufrêche, Jean-François; Mikelić, Andro; Piatnitski, Andrey 12 2013 Effective slip law for general viscous flows over an oscillating surface. Zbl 1364.76041Mikelić, Andro; Nečasová, Šárka; Neuss-Radu, Maria 7 2013 Asymptotic analysis of the Poisson-Boltzmann equation describing electrokinetics in porous media. Zbl 1264.35159Allaire, Grégoire; Dufrêche, Jean-François; Mikelić, Andro; Piatnitski, Andrey 7 2013 On the interface law between a deformable porous medium containing a viscous fluid and an elastic body. Zbl 1257.35030Mikelić, Andro; Wheeler, Mary F. 18 2012 Effective pressure interface law for transport phenomena between an unconfined fluid and a porous medium using homogenization. Zbl 1255.35030Marciniak-Czochra, Anna; Mikelić, Andro 16 2012 Theory of the dynamic Biot-Allard equations and their link to the quasi-static Biot system. Zbl 1331.35283Mikelić, Andro; Wheeler, Mary F. 9 2012 Homogenization limit of a model system for interaction of flow, chemical reactions, and mechanics in cell tissues. Zbl 1226.93016Jäger, Willi; Mikelić, Andro; Neuss-Radu, Maria 8 2011 Rigorous derivation of a hyperbolic model for Taylor dispersion. Zbl 1223.35036Mikelić, Andro; Van Duijn, C. J. 4 2011 A positivity-preserving ALE finite element scheme for convection-diffusion equations in moving domains. Zbl 1218.65106Boiarkine, Oleg; Kuzmin, Dmitri; Čanić, Sunčica; Guidoboni, Giovanna; Mikelić, Andro 3 2011 Existence of a unique solution to a nonlinear moving-boundary problem of mixed type arising in modeling blood flow. Zbl 1245.35154Čanić, Sunčica; Mikelić, Andro; Kim, Tae-Beom; Guidoboni, Giovanna 2 2011 Erratum: “Homogenization of the linearized ionic transport equations in rigid periodic porous media” [J. Math. Phys. 51, 123103, 18 p. (2010)]. Zbl 1317.76075Allaire, Grégoire; Mikelić, Andro; Piatnitski, Andrey 1 2011 Global-in-time solutions for the isothermal Matovich-Pearson equations. Zbl 1206.35263Feireisl, Eduard; Laurençot, Philippe; Mikelić, Andro 1 2011 A global existence result for the equations describing unsaturated flow in porous media with dynamic capillary pressure. Zbl 1191.35156Mikelić, Andro 38 2010 Homogenization of the linearized ionic transport equations in rigid periodic porous media. Zbl 1314.76039Allaire, Grégoire; Mikelić, Andro; Piatnitski, Andrey 16 2010 Homogenization approach to the dispersion theory for reactive transport through porous media. Zbl 1213.35057Allaire, Grégoire; Mikelić, Andro; Piatnitski, Andrey 16 2010 Rigorous upscaling of the reactive flow with finite kinetics and under dominant Péclet number. Zbl 1170.76057Choquet, Catherine; Mikelić, Andro 7 2009 An existence result for the equations describing a gas-liquid two-phase flow. Zbl 1173.76412Mikelić, Andro 6 2009 Analysis of differential equations modelling the reactive flow through a deformable system of cells. Zbl 1160.74034Jäger, Willi; Mikelić, Andro; Neuss-Radu, Maria 6 2009 On upscaling certain flows in deformable porous media. Zbl 1156.74321Iliev, Oleg; Mikelić, Andro; Popov, Peter 10 2008 Laplace transform approach to the rigorous upscaling of the infinite adsorption rate reactive flow under dominant Peclet number through a pore. Zbl 1154.35304Choquet, Catherine; Mikelić, Andro 7 2008 Analysis of model equations for stress-enhanced diffusion in coal layers. I: Existence of a weak solution. Zbl 1173.35570Mikelić, Andro; Bruining, Hans 6 2008 On the equations governing the flow of mechanically incompressible, but thermally expansible, viscous fluids. Zbl 1200.35213Farina, Angiolo; Fasano, Antonio; Mikelić, Andro 6 2008 Fluid-structure interaction in a pre-stressed tube with thick elastic walls. I: The stationary Stokes problem. Zbl 1260.35147Mikelić, Andro; Guidoboni, Giovanna; Čanić, Sunčica 12 2007 Rigorous upscaling of the infinite adsorption rate reactive flow under dominant Peclet number through a pore. Zbl 1181.35013Mikelić, Andro; Rosier, Carole 9 2007 Homogenization approach to filtration through a fibrous medium. Zbl 1142.76054Belhadj, Mohamed; Cancès, Eric; Gerbeau, Jean-Frédéric; Mikelić, Andro 3 2007 Rigorous upscaling of the reactive flow through a pore, under dominant Péclet and Damköhler numbers. Zbl 1120.35007Mikelić, Andro; Devigne, Vincent; Van Duijn, C. J. 31 2006 Modeling viscoelastic behavior of arterial walls and their interaction with pulsatile blood flow. Zbl 1121.35091Čanić, Sunčica; Tambača, Josip; Guidoboni, Giovanna; Mikelić, Andro; Hartley, Craig J.; Rosenstrauch, Doreen 28 2006 Effective laws for the Poisson equation on domains with curved oscillating boundaries. Zbl 1274.35019Neuss, N.; Neuss-Radu, M.; Mikelić, A. 17 2006 Modeling and homogenizing a problem of absorption/desorption in porous media. Zbl 1133.35318Mikelić, Andro; Primicerio, Mario 3 2006 Self-consistent effective equations modeling blood flow in medium-to-large compliant arteries. Zbl 1081.35073Canic, Suncica; Lamponi, Daniele; Mikelic, Andro; Tambaca, Josip 13 2005 A two-dimensional effective model describing fluid-structure interaction in blood flow: analysis, simulation and experimental validation. Zbl 1173.76429Čanić, Sunčica; Mikelić, Andro; Tambača, Josip 9 2005 Effective model of the fluid flow through elastic tube with variable radius. Zbl 1162.76331Tambača, Josip; Čanić, Sunčica; Mikelić, Andro 2 2005 Modeling solute transport through unsaturated porous media using homogenization. I. Zbl 1213.35064Mikelic, Andro; Rosier, Carole 4 2004 Couette flows over a rough boundary and drag reduction. Zbl 1062.76012Jäger, Willi; Mikelić, Andro 33 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 1088.76077Canic, Suncica; Mikelic, Andro 20 2003 Homogenizing the acoustic properties of a porous matrix containing an incompressible inviscid fluid. Zbl 1107.76400Ferrin, J. L.; Mikelić, A. 17 2003 On the double porosity model of a single phase flow in random media. Zbl 1060.76113Bourgeat, A.; Mikelić, A.; Piatnitski, A. 8 2003 Recent developments in multiscale problems coming from fluid mechanics. Zbl 1205.76256Mikelić, Andro 1 2003 On an averaged model for the 2-fluid immiscible flow with surface tension in a thin cylindrical tube. Zbl 1134.76325Mikelić, Andro 1 2003 Effective equations for two-phase flow with trapping on the micro scale. Zbl 1060.76097van Duijn, C. J.; Mikelic, A.; Pop, I. S. 13 2002 Effective equations describing the flow of a viscous incompressible fluid through a long elastic tube. Zbl 1177.76078Čanić, Sunčica; Mikelić, Andro 5 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 0989.00039Antonić, Nenad (ed.); van Duijn, C. J. (ed.); Jäger, Willi (ed.); Mikelić, Andro (ed.) 4 2002 Tangential flow on a rough surface and Navier’s law. Zbl 1125.76331Mikelić, Andro; Devigne, Vincent 1 2002 Derivation of the diphasic Biot’s law for an elastic solid matrix containing isolated fluid drops. Zbl 1019.35010Clopeau, Thierry; Ferrín, Jose Luis; Mikelić, Andro 1 2002 The 3D flow of a liquid through a porous medium with absorbing and swelling granules. Zbl 1007.35105Fasano, Antonio; Mikelić, Andro 1 2002 On the roughness-induced effective boundary conditions for an incompressible viscous flow. Zbl 1009.76017Jäger, Willi; Mikelić, Andro 113 2001 Asymptotic analysis of the laminar viscous flow over a porous bed. Zbl 0980.35124Jäger, Willi; Mikelic, Andro; Neuss, Nicolas 38 2001 Homogenizing the acoustic properties of the seabed. II. Zbl 1050.76562Clopeau, Th.; Ferrín, J. L.; Gilbert, R. P.; Mikelić, A. 35 2001 On the interface boundary condition of Beavers, Joseph, and Saffman. Zbl 0969.76088Jäger, Willi; Mikelic, Andro 145 2000 Homogenizing the acoustic properties of the seabed. I. Zbl 0958.35108Gilbert, R. P.; Mikelić, A. 44 2000 The derivation of a nonlinear filtration law including the inertia effects via homogenization. Zbl 0965.35131Marušić-Paloka, Eduard; Mikelić, Andro 9 2000 Homogenization theory and applications to filtration through porous media. Zbl 1077.76567Mikelić, Andro 8 2000 On the filtration through porous media with partially soluble pemeable grains. Zbl 0949.35077Fasano, Antonio; Mikelić, Andro 1 2000 On the boundary conditions at the contact interface between two porous media. Zbl 0934.35135Jäger, W.; Mikelić, A. 1 2000 Homogenization of the inviscid incompressible fluid flow through a 2D porous medium. Zbl 0922.35136Mikelic, Andro; Paoli, Laetitia 11 1999 Homogenization of the Laplace equation in a partially perforated domain. Zbl 1043.35030Jäger, W.; Mikelić, A. 2 1999 On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions. Zbl 0911.76014Clopeau, Thierry; Mikelić, Andro; Robert, Raoul 88 1998 Random double porosity model. Zbl 1024.35008Bourgeat, Alain; Mikelić, Andro; Piatnitski, Andrey 8 1998 On the effective equations of a viscous incompressible fluid flow through a filter of finite thickness. Zbl 0938.76101Jäger, Willi; Mikelić, Andro 5 1998 Homogenization of an elastic material with inclusions in frictionless contact. Zbl 1126.74480Mikelić, A.; Shillor, M.; Tapiéro, R. 4 1998 On the equations describing a relaxation toward a statistical equilibrium state in the two-dimensional perfect fluid dynamics. Zbl 0913.76040Mikelic, Andro; Robert, Raoul 4 1998 Homogenization of flows through porous media with permeable grains. Zbl 0903.76087Fasano, Antonio; Mikelić, Andro; Primicerio, Mario 4 1998 On the derivation of the Buckley-Leverett model from the two fluid Navier-Stokes equations in a thin domain. Zbl 0940.76092Mikelić, Andro; Paoli, Laetitia 8 1997 Nonstationary flows with viscous heating effects. Zbl 0896.35108Clopeau, Thierry; Mikelić, Andro 1 1997 On the boundary conditions at the contact interface between a porous medium and a free fluid. Zbl 0878.76076Jäger, Willi; Mikelić, Andro 46 1996 Convergence of the homogenization process for a double-porosity model of immiscible two-phase flow. Zbl 0866.35018Bourgeat, Alain; Luckhaus, Stephan; Mikelić, Andro 43 1996 Homogenization of a polymer flow through a porous medium. Zbl 0863.76082Bourgeat, Alain; Mikelić, Andro 10 1996 An error estimate for correctors in the homogenization of the Stokes and the Navier-Stokes equations in a porous medium. Zbl 0881.35091Marušić-Paloka, Eduard; Mikelić, Andro 8 1996 Weak nonlinear corrections for Darcy’s law. Zbl 0869.76085Bourgeat, Alain; Marušić-Paloka, Eduard; Mikelić, Andro 6 1996 Stationary solutions to a quasi-Newtonian flow with viscous heating. Zbl 0838.76003Baranger, Jacques; Mikelić, Andro 14 1995 Effective fluid flow in a porous medium containing a thin fissure. Zbl 0847.35106Bourgeat, Alain; Marušić-Paloka, Eduard; Mikelić, Andro 12 1995 Effective equations of two-phase flow in random media. Zbl 0824.35099Bourgeat, A.; Kozlov, S. M.; Mikelić, A. 8 1995 On the stationary quasi-Newtonian flow obeying a power-law. Zbl 0840.35081Blavier, Eric; Mikelić, Andro 4 1995 Inertial effects for a stationary viscous incompressible flow in a porous medium. Zbl 0830.76087Mikelić, Andro 4 1995 Mathematical derivation of the power law describing polymer flow through a thin slab. Zbl 0819.76007Mikelić, Andro; Tapiéro, Roland 4 1995 Stochastic two-scale convergence in the mean and applications. Zbl 0808.60056Bourgeat, Alain; Mikelić, Andro; Wright, Steve 53 1994 Reactive transport through an array of cells with semi-permeable membranes. Zbl 0824.76083Hornung, U.; Jäger, W.; Mikelić, A. 26 1994 Mathematical derivation of the Darcy-type law with memory effects, governing transient flow through porous media. Zbl 0815.35086Mikelić, Andro 4 1994 ...and 31 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,539 Authors 50 Mikelić, Andro 34 Wheeler, Mary Fanett 25 Shillor, Meir 22 Sofonea, Mircea 22 Wick, Thomas 21 Fernández, Jose Ramon 17 Kumar, Kundan 17 Pop, Iuliu Sorin 15 Piatnitski, Andrey L. 12 Allaire, Grégoire 12 Amaziane, Brahim 12 Čanić, Sunčica 12 Feireisl, Eduard 12 Gérard-Varet, David 12 Marušić-Paloka, Eduard 12 Pankratov, Leonid S. 12 Radu, Florin Adrian 11 Lee, Sanghyun 11 Nazarov, Sergeĭ Aleksandrovich 11 Quarteroni, Alfio M. 11 Schweizer, Ben 11 Wang, Xiaoming 10 Nordbotten, Jan Martin 10 Panasenko, Grigory P. 10 Pažanin, Igor 10 Ptashnyk, Mariya 9 Chechkin, Gregory Aleksandrovich 9 Marciniak-Czochra, Anna K. 9 Neuss-Radu, Maria 9 Shamaev, Alexei S. 9 Shumilova, Vladlena Valerievna 9 Suárez-Grau, Francisco Javier 9 Woukeng, Jean Louis 8 Amirat, Youcef Aït 8 Barboteu, Mikaël 8 Bukač, Martina 8 Campo, Marco A. 8 Gilbert, Robert Pertsch 8 Han, Weimin 8 Jäger, Willi 8 Kozlov, Vladimir A. 8 Masmoudi, Nader 8 Migórski, Stanisław 8 Rivière, Beatrice M. 8 Rohan, Eduard 7 Chemetov, Nikolai V. 7 Cipriano, Fernanda 7 Gaspar, Francisco José 7 Knabner, Peter 7 Lacave, Christophe 7 Meirmanov, Anvarbek Mukatovich 7 Novotný, Antonín 7 Stavre, Ruxandra 7 Tchelepi, Hamdi A. 6 Andrews, Kevin T. 6 Anguiano, María 6 Berre, Inga 6 Bourgeat, Alain P. 6 Bunoiu, Renata 6 Castelletto, Nicola 6 Choquet, Catherine 6 Discacciati, Marco 6 El Jarroudi, Mustapha 6 Gunzburger, Max D. 6 He, Xiaoming 6 Klarbring, Anders 6 Layton, William J. 6 Mallea-Zepeda, Exequiel 6 Muntean, Adrian 6 Nečasová, Šárka 6 Oyarzúa, Ricardo 6 Panchenko, Alexander N. 6 Rodrigo, Carmen 6 Singh, Gurpreet 6 Tambača, Josip 6 van Duijn, Cornelis Johannes 6 Xin, Zhouping 5 Ahn, Jeongho 5 Almani, Tameem 5 Brillard, Alain 5 Brown, Donald L. 5 Bucur, Dorin 5 Cai, Mingchao 5 Cao, Yang 5 Gatica, Gabriel N. 5 Guidoboni, Giovanna 5 Han, Daozhi 5 Jurak, Mladen 5 Kovtunenko, Viktor Anatolievich 5 Kuttler, Kenneth L. jun. 5 Lee, Hyesuk Kwon 5 Lopes Filho, Milton da Costa 5 Muha, Boris 5 Nussenzveig Lopes, Helena Judith 5 Ochal, Anna 5 Ray, Nadja 5 Saad, Mazen 5 Schmuck, Markus 5 Timofte, Claudia 5 Vasilyeva, Maria V. ...and 1,439 more Authors all top 5 Cited in 195 Serials 82 Computer Methods in Applied Mechanics and Engineering 50 Journal of Mathematical Analysis and Applications 46 Computational Geosciences 41 Applicable Analysis 38 Journal of Differential Equations 36 Journal of Computational Physics 35 Journal of Computational and Applied Mathematics 26 Mathematical Methods in the Applied Sciences 25 Nonlinear Analysis. 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Theory, Methods & Applications 10 Numerical Methods for Partial Differential Equations 9 Communications in Mathematical Physics 9 Applied Mathematics and Computation 9 Quarterly of Applied Mathematics 9 SIAM Journal on Applied Mathematics 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Journal of Mathematical Physics 8 European Journal of Applied Mathematics 8 Networks and Heterogeneous Media 7 Journal of Engineering Mathematics 7 Mathematics of Computation 7 Physica D 7 Applications of Mathematics 7 Applied Mathematical Modelling 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 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 7 Discrete and Continuous Dynamical Systems. 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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 Mediterranean Journal of Mathematics 4 GEM - International Journal on Geomathematics 3 Journal of the Mechanics and Physics of Solids 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 Afrika Matematika 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 2 Nonlinearity 2 Chaos, Solitons and Fractals 2 The Annals of Probability 2 Calcolo 2 Mathematische Annalen 2 Asymptotic Analysis 2 Bulletin of the American Mathematical Society. New Series 2 Continuum Mechanics and Thermodynamics 2 Physics of Fluids ...and 95 more Serials all top 5 Cited in 35 Fields 710 Fluid mechanics (76-XX) 636 Partial differential equations (35-XX) 413 Mechanics of deformable solids (74-XX) 258 Numerical analysis (65-XX) 95 Calculus of variations and optimal control; optimization (49-XX) 77 Biology and other natural sciences (92-XX) 43 Geophysics (86-XX) 34 Probability theory and stochastic processes (60-XX) 34 Classical thermodynamics, heat transfer (80-XX) 21 Statistical mechanics, structure of matter (82-XX) 18 Operator theory (47-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Optics, electromagnetic theory (78-XX) 10 Functional analysis (46-XX) 10 Systems theory; control (93-XX) 8 Ordinary differential equations (34-XX) 4 Operations research, mathematical programming (90-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 transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-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 Statistics (62-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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