# zbMATH — the first resource for mathematics

## Panasenko, Grigory P.

Compute Distance To:
 Author ID: panasenko.grigory-p Published as: Panasenko, G.; Panasenko, G. P.; Panasenko, Gregory; Panasenko, Gregory P.; Panasenko, Grigori; Panasenko, Grigori P.; Panasenko, Grigory; Panasenko, Grigory P.
 Documents Indexed: 160 Publications since 1977, including 3 Books
all top 5

#### Co-Authors

 48 single-authored 16 Stavre, Ruxandra 9 Amosov, Andreĭ Avenirovich 8 Pileckas, Konstantin 5 Bakhvalov, Nikolai Sergeevich 5 Cardone, Giuseppe 5 Dupuy, Delphine 5 Kostin, Ilya-Nikolaï 5 Oleĭnik, Ol’ga Arsen’evna 5 Orlik, Julia 4 Gnélécoumbaga, Souleymane 4 Lapshin, Evgueny A. 4 Volpert, Vitaly A. 3 Chiheb, Raddouane 3 Èl’bert, Aleksandr Evgen’evich 3 Iosif’yan, G. A. 3 Reztsov, M. V. 3 Sirakov, Ivan 3 Smyshlyaev, Valery P. 3 Viallon, Marie-Claude 2 Abdessamad, Zouhair 2 Ainser, Auder 2 Ataullakhanov, Fazoil I. 2 Bare, Zoufine 2 Carasso, Claude 2 Fares, R. 2 Fontvieille, Franck 2 Gilbert, Robert Pertsch 2 Karabutov, A.a. 2 Kozlova, M. V. 2 Landis, Evgenii Mikhailovich 2 Lapshin, A. E. 2 Meliani, Salha 2 Piatnitski, Andrey L. 2 Rudenko, Oleg V. 2 Rutily, Bernard 2 Shtaras, A. L. 2 Tokarev, A. A. 2 Vasil’eva, Ol’ga Aleksandrovna 1 Badea, Anca 1 Bare, D. Z. 1 Berlyand, Leonid V. 1 Bertoglio, Cristóbal 1 Blanc, F.-X. 1 Butylin, A. 1 Carraro, Laurent 1 Chardard, Frédéric 1 Čiegis, Raimondas 1 Cioranescu, Doina 1 Conca, Carlos 1 Corbo Esposito, Antonio 1 D’Angelo, Carlo 1 Dobroserdova, Tatyana 1 Èglit, Margarita Èrnestovna 1 El Janati, Abdessalam 1 Etoughe, M. Betoue 1 Fares, G. R. 1 Gaudiello, Antonio 1 Gipouloux, Olivier 1 Gorb, Yuliya 1 Iiosifyan, G. A. 1 Kayuk, Ya. F. 1 Kozlov, Sergeĭ Mikhaĭlovich 1 Kurbatova, Polina 1 Lapsin, E. A. 1 Laudis, E. M. 1 Liang, Fuyou 1 Mahiout, Latifa Ait 1 Malakhova-Ziablova, Irina 1 Nolte, David D. 1 Pankov, Alexander A. 1 Pankratova, Iryna L. 1 Paoli, Laetitia A. 1 Pérez, Eugenia 1 Polevoj, A. N. 1 Pousin, J. 1 Pousin, Jérôme Gabriel 1 Pshenitsyna, N. A. 1 Quarteroni, Alfio M. 1 Saint Jean Paulin, Jeannine 1 Seredenko, V. N. 1 Shiryaev, Vladimir I. 1 Shnol’, Èmmanuil Èl’evich 1 Sirakov, Yvan 1 Šumskas, Vytenis 1 Titaud, Olivier 1 Vassilevski, Yuri V. 1 Vernescu, Bogdan 1 Virnovsky, George 1 Yosifian, G. A. 1 Zine, Abdelmalek
all top 5

#### Serials

 23 Applicable Analysis 11 Comptes Rendus. Mécanique. Académie des Sciences, Paris 7 Soviet Mathematics. Doklady 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Mathematical Methods in the Applied Sciences 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Computational Mathematics and Mathematical Physics 4 Mathematics of the USSR, Sbornik 4 Journal of Mathematical Sciences (New York) 3 Journal of Mathematical Physics 3 Moscow University Computational Mathematics and Cybernetics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 U.S.S.R. Computational Mathematics and Mathematical Physics 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Russian Journal of Mathematical Physics 3 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b. Mécanique, Physique, Astronomie 3 Networks and Heterogeneous Media 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Journal of Soviet Mathematics 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 SIAM Journal on Mathematical Analysis 2 Matematicheskiĭ Sbornik 2 Trudy Seminara Imeni I. G. Petrovskogo 2 Doklady Mathematics 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Multiscale Modeling & Simulation 1 Computers & Mathematics with Applications 1 Journal of Applied Mathematics and Mechanics 1 Journal of Mathematical Analysis and Applications 1 Matematicheskie Zametki 1 Moscow University Mathematics Bulletin 1 Moscow University Physics Bulletin 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Optimization 1 Vestnik Moskovskogo Universiteta. Seriya III. Fizika, Astronomiya 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Vestnik Moskovskogo Universiteta. Seriya 15 1 Russian Academy of Sciences. Sbornik. Mathematics 1 Vychislitel’naya i Prikladnaya Matematika 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Mathematical Communications 1 Abstract and Applied Analysis 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Journal of Mathematical Fluid Mechanics 1 Gidromekhanika 1 Journal of Dynamical and Control Systems 1 Communications in Contemporary Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 1 Proceedings of the Steklov Institute of Mathematics 1 Mathematical Modelling of Natural Phenomena
all top 5

#### Fields

 121 Partial differential equations (35-XX) 74 Mechanics of deformable solids (74-XX) 52 Fluid mechanics (76-XX) 22 Numerical analysis (65-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Ordinary differential equations (34-XX) 6 Biology and other natural sciences (92-XX) 4 Optics, electromagnetic theory (78-XX) 4 Astronomy and astrophysics (85-XX) 3 General and overarching topics; collections (00-XX) 3 Integral equations (45-XX) 2 Combinatorics (05-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 History and biography (01-XX) 1 Functional analysis (46-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

105 Publications have been cited 995 times in 671 Documents Cited by Year
Homogenisation: Averaging processes in periodic media. Mathematical problems in the mechanics of composite materials. Transl. from the Russian by D. Leites. Zbl 0692.73012
Bakhvalov, N. S.; Panasenko, G.
1989
Averaging processes in periodic media. Mathematical problems of the mechanics of composite materials. (Osrednenie protsessov v periodicheskikh sredakh. Matematicheskie zadachi mekhaniki kompozitsionnykh materialov). Zbl 0607.73009
Bakhvalov, N. S.; Panasenko, G. P.
1984
Mutli-scale modelling for structures and composites. Zbl 1078.74002
Panasenko, G.
2005
Method of asymptotic partial decomposition of domain. Zbl 0940.35026
Panasenko, G. P.
1998
Asymptotic analysis of the non-steady Navier-Stokes equations in a tube structure. I: The case without boundary-layer-in-time. Zbl 1326.35248
Panasenko, Grigory; Pileckas, Konstantin
2015
Asymptotic methods for micropolar fluids in a tube structure. Zbl 1076.76004
Dupuy, D.; Panasenko, G. P.; Stavre, R.
2004
Asymptotic analysis of the non-steady Navier-Stokes equations in a tube structure. II: General case. Zbl 1332.35268
Panasenko, Grigory; Pileckas, Konstantin
2015
Asymptotic analysis and partial asymptotic decomposition of domain for Stokes equation in tube structure. Zbl 1035.76010
Blanc, F.; Gipouloux, O.; Panasenko, G.; Zine, A. M.
1999
Asymptotic analysis and domain decomposition for a biharmonic problem in a thin multi-structure. Zbl 1347.35106
Gaudiello, Antonio; Panasenko, Grigory; Piatnitski, Andrey
2016
Asymptotic analysis of the nonsteady viscous flow with a given flow rate in a thin pipe. Zbl 1237.76149
Panasenko, Grigory; Pileckas, Konstantin
2012
Asymptotic analysis of a periodic flow in a thin channel with viscoelastic wall. Zbl 1088.74022
Panasenko, G. P.; Stavre, R.
2006
Asymptotic expansion of the solution of Navier-Stokes equation in tube structure and partial asymptotic decomposition of the domain. Zbl 1034.35097
Panasenko, Grigori P.
2000
Asymptotic analysis of a viscous fluid-thin plate interaction: periodic flow. Zbl 1291.74067
Panasenko, G. P.; Stavre, R.
2014
Asymptotic solution for a micropolar flow in a curvilinear channel. Zbl 1147.76048
Dupuy, D.; Panasenko, G. P.; Stavre, R.
2008
Asymptotic partial decomposition for diffusion with sorption in thin structures. Zbl 1103.35029
Cardone, G.; Corbo Esposito, A.; Panasenko, G. P.
2006
A theorem on the asymptotics of solutions of elliptic equations with coefficients periodic in all variables except one. Zbl 0378.35020
Landis, E. M.; Panasenko, G. P.
1977
Asymptotic expansion of the solution of Navier-Stokes equation in a tube structure. Zbl 0962.76023
Panasenko, Grigori P.
1998
Multicomponent homogenization of processes in strongly nonhomogeneous structures. Zbl 0719.35006
Panasenko, G. P.
1991
Asymptotic-numerical derivation of the Robin type coupling conditions for the macroscopic pressure at a reservoir-capillaries interface. Zbl 1270.35062
D’Angelo, Carlo; Panasenko, Grigory; Quarteroni, Alfio
2013
The partial homogenization: continuous and semi-discretized versions. Zbl 1169.74038
Panasenko, Grigory
2007
F.E.M. implementation for the asymptotic partial decomposition. Zbl 1115.65114
Fontvieille, F.; Panasenko, G. P.; Pousin, J.
2007
Flows in a tube structure: equation on the graph. Zbl 1366.35137
Panasenko, Grigory; Pileckas, Konstantin
2014
Continuous mathematical model of platelet thrombus formation in blood flow. Zbl 06032989
Tokarev, A.; Sirakov, I.; Panasenko, G.; Volpert, V.; Shnol, E.; Butylin, A.; Ataullakhanov, F.
2012
Asymptotic analysis of the Stokes flow with variable viscosity in a thin elastic channel. Zbl 1263.76055
Panasenko, Grigory; Stavre, Ruxandra
2010
Memory effect in homogenization of a viscoelastic Kelvin-Voigt model with time-dependent coefficients. Zbl 1398.74038
Abdessamad, Zouhair; Kostin, Ilya; Panasenko, Grigory; Smyshlyaev, Valery P.
2009
Asymptotic analysis of bar systems. I. Zbl 0924.73020
Panasenko, Grigory P.
1994
Asymptotic analysis of a thin rigid stratified elastic plate – viscous fluid interaction problem. Zbl 1357.35087
Malakhova-Ziablova, Irina; Panasenko, Grigory; Stavre, Ruxandra
2016
Asymptotic analysis of a non-periodic flow in a thin channel with visco-elastic wall. Zbl 1156.76430
Panasenko, Grigory; Stavre, Ruxandra
2008
Asymptotic dimension reduction of a Robin-type elasticity boundary value problem in thin beams. Zbl 1292.74021
Bare, D. Z.; Orlik, J.; Panasenko, G.
2014
Asymptotic analysis of the Stokes flow in a thin cylindrical elastic tube. Zbl 1252.76071
Panasenko, G. P.; Stavre, R.
2012
The finite volume implementation of the partial asymptotic domain decomposition. Zbl 1154.35310
Panasenko, G.; Viallon, M.-C.
2008
Thermo-chemical modelling of the formation of a composite material. Zbl 1064.35019
Meliani, S.; Panasenko, G.
2005
An approximate solution to the integral radiative transfer equation in an optically thick slab. Zbl 1223.85005
Amosov, Andrey; Panasenko, Grigori; Rutily, Bernard
2003
Asymptotic solutions of a system of the theory of elasticity for bar and skeleton structures. Zbl 0753.73011
Panasenko, G. P.
1992
Averaging a three-dimensional problem of elasticity theory in an inhomogeneous plate. Zbl 0644.73050
Panasenko, G. P.; Reztsov, M. V.
1987
Higher order asymptotics of solutions of problems on the contact of periodic structures. Zbl 0462.35007
Panasenko, G. P.
1981
Divergence equation in thin-tube structures. Zbl 1320.35286
Panasenko, Grigory; Pileckas, Konstantin
2015
Asymptotic expansion of the solution of the steady Stokes equation with variable viscosity in a two-dimensional tube structure. Zbl 1452.76043
Cardone, G.; Fares, R.; Panasenko, G. P.
2012
Asymptotic analysis and numerical modeling of mass transport in tubular structures. Zbl 1200.35021
Cardone, Giuseppe; Panasenko, Grigory P.; Sirakov, Yvan
2010
Boundary conditions for the high order homogenized equation: laminated rods, plates and composites. Zbl 1173.35311
Panasenko, Grigory
2009
Khokhlov-Zabolotskaya-Kuznetsov-type equation: Nonlinear acoustics in heterogeneous media. Zbl 1157.35458
Kostin, I.; Panasenko, G.
2008
Homogenization of thermo-viscoelastic Kelvin-Voigt model. Zbl 1133.35315
Abdessamad, Zouhair; Kostin, Ilya; Panasenko, Grigory; Smyshlyaev, Valery P.
2007
Asymptotic partial decomposition of domain for spectral problems in rod structures. Zbl 1107.74020
Panasenko, G. P.; Pérez, E.
2007
Asymptotic analysis of bar systems. II. Zbl 0924.73021
Panasenko, Grigory P.
1996
Homogenization and asymptotic expansions for solutions of the elasticity system with rapidly oscillating periodic coefficients. Zbl 0479.35022
Oleĭnik, O. A.; Panasenko, G. P.; Yosifian, G. A.
1983
Asymptotics of the solutions and eigenvalues of elliptic equations with strongly varying coefficients. Zbl 0482.35064
Panasenko, G. P.
1980
Asymptotic numerical analysis of the diffusion-discrete absorption equation. Zbl 1238.65062
Kurbatova, P.; Panasenko, G.; Volpert, V.
2012
Asymptotic analysis of the steady Stokes equation with randomly perturbed viscosity in a thin tube structure. Zbl 1290.35196
Cardone, G.; Carraro, L.; Fares, G. R.; Panasenko, G. P.
2011
Well posedness and asymptotic expansion of solution of Stokes equation set in a thin cylindrical elastic tube. Zbl 1183.74062
Panasenko, Grigory P.; Stavre, Ruxandra
2010
Khokhlov-Zabolotskaya-Kuznetsov type equation: nonlinear acoustics in heterogeneous media. Zbl 1370.76160
Kostin, Ilya; Panasenko, Grigory
2006
Asymptotic analysis of integral equations for a great interval and its application to stellar radiative transfer. Zbl 1173.78308
Panasenko, Grigori; Rutily, Bernard; Titaud, Olivier
2002
Partial asymptotic decomposition of domain: Navier-Stokes equation in tube structure. Zbl 0964.76017
Panasenko, Grigori P.
1998
Homogenization of lattice-like domains: $$L$$-convergence. Zbl 0942.35022
Panasenko, G. P.
1998
Multicomponent homogenization of the vibration problem for incompressible media with heavy and rigid inclusions. Zbl 0840.73005
Panasenko, Grigori
1995
Asymptotics of eigenvalues of elliptic equations with strongly varying coefficients. Zbl 0659.35077
Panasenko, G. P.
1987
Viscous fluid-thin elastic plate interaction: asymptotic analysis with respect to the rigidity and density of the plate. Zbl 1431.76101
Panasenko, Grigory P.; Stavre, Ruxandra
2020
Optimization of textile-like materials via homogenization and beam approximations. Zbl 1338.35424
Orlik, Julia; Panasenko, Grigory; Shiryaev, Vladimir
2016
Asymptotic approximations of a thin elastic beam with auxiliary coupled 1D system due to Robin boundary condition. Zbl 1326.35372
Bare, Z.; Orlik, J.; Panasenko, G.
2015
Homogenization of a thermo-chemo-viscoelastic Kelvin-Voigt model. Zbl 1302.74135
Amosov, Andrey; Kostin, Ilya; Panasenko, Grigory; Smyshlyaev, Valery P.
2013
Error estimate in a finite volume approximation of the partial asymptotic domain decomposition. Zbl 1273.65165
Panasenko, Grigory; Viallon, Marie-Claude
2013
The problem of thermo-chemical formation of a composite material. Properties of solutions and homogenization. Zbl 1252.35261
Amosov, A. A.; Panasenko, G. P.
2012
A viscous fluid flow through a thin channel with mixed rigid-elastic boundary: variational and asymptotic analysis. Zbl 1246.76022
Fares, R.; Panasenko, G. P.; Stavre, R.
2012
Asymptotic analysis of the one-dimensional diffusion-absorption equation with rapidly and strongly oscillating absorption coefficient. Zbl 1254.34076
Elbert, Alexander; Panasenko, Grigory
2012
Partial homogenization of discrete models. Zbl 1173.35334
Etoughe, M. Betoue; Panasenko, G.
2008
Homogenization of integro-differential equation of Burgers type. Zbl 1154.35309
Panasenko, G.; Pshenitsyna, N.
2008
An approximate solution to the integral radiative transfer equation in an optically thick slab. Zbl 1121.85003
Amosov, Andrey; Panasenko, Grigory
2007
Asymptotic analysis and asymptotic domain decomposition for an integral equation of the radiative transfer type. Zbl 1089.45004
Amosov, Andrey; Panasenko, Grigory
2005
Flow in wavy tube structure: asymptotic analysis and numerical simulation. Zbl 1223.76048
Ainser, Auder; Dupuy, Delphine; Panasenko, Gregory P.; Sirakov, Ivan
2003
Asymptotic solutions of the system of elasticity theory for rod and frame structures. Zbl 0774.73010
Panasenko, G. P.
1992
Averaging of a three-dimensional problem of elasticity theory for an inhomogeneous rod. Zbl 0786.73040
Kozlova, M. V.; Panasenko, G. P.
1991
A numerical-asymptotic multicomponent averaging method for equations with contrast coefficients. Zbl 0718.73008
Panasenko, G. P.
1990
Numerical solution of cell problems in averaging theory. Zbl 0668.65098
Panasenko, G. P.
1988
Asymptotic expansion of solutions of the system of elasticity theory in perforated domains. Zbl 0534.73013
Olejnik, O. A.; Iosif’yan, G. A.; Panasenko, G. P.
1984
Asymptotic expansion of solutions of a system in the theory of elasticity for perforated domains. Zbl 0515.73018
Olejnik, O. A.; Iosif’yan, G. A.; Panasenko, G. P.
1983
Junction of models of different dimension for flows in tube structures by Womersley-type interface conditions. Zbl 1419.35155
Bertoglio, Cristóbal; Conca, Carlos; Nolte, David; Panasenko, Grigory; Pileckas, Konstantinas
2019
Viscous fluid-thin cylindrical elastic body interaction: asymptotic analysis on contrasting properties. Zbl 1409.74013
Panasenko, Grigory P.; Stavre, R.
2019
Partial dimension reduction for the heat equation in a domain containing thin tubes. Zbl 1406.35143
Amosov, Andrey; Panasenko, Grigory
2018
Finite volume implementation of the method of asymptotic partial domain decomposition for the heat equation on a thin structure. Zbl 1327.35129
Panasenko, G.; Viallon, M.-C.
2015
Method of asymptotic partial domain decomposition for non-steady problems: heat equation on a thin structure. Zbl 1309.35003
Panasenko, Grigory
2014
Viscous fluid-thin cylindrical elastic layer interaction: asymptotic analysis. Zbl 1296.76125
Panasenko, G. P.; Stavre, R.
2014
Homogenization of a convection-diffusion equation in a thin rod structure. Zbl 1200.35023
Panasenko, G.; Pankratova, I.; Piatnitski, A.
2010
Asymptotic analysis of an array of closely spaced absolutely conductive inclusions. Zbl 1116.35310
Berlyand, Leonid; Cardone, Giuseppe; Gorb, Yuliya; Panasenko, Gregory
2006
Asymptotic analysis for micropolar fluids. Zbl 1176.76010
Dupuy, Delphine; Panasenko, Gregory P.; Stavre, Ruxandra
2004
Homogenization of two-phase flow: High contrast of phase permeability. Zbl 1178.76299
Panasenko, Gregory P.; Virnovsky, George
2003
The method of asymptotic partial decomposition of domain and partial homogenization. Zbl 1125.35316
Panasenko, G. P.
2003
Homogenization of high-frequency nonlinear acoustic equations. Zbl 1024.76049
Panasenko, Gregory P.; Lapshin, Evgueny A.
2000
Optimization of finite rod structures and L-convergence. Zbl 0952.74054
Chiheb, R.; Panasenko, G. P.
1998
Reinforced reticulated structures in elasticity. Zbl 0913.73048
Chiheb, Raddouane; Cioranescu, Doina; El Janati, Abdessalam; Panasenko, Grigori
1998
An asymptotic solution of the Dirichlet problem for the Poisson equation on a nonperiodic frame. Zbl 0915.35023
Lapshin, A. E.; Panasenko, G. P.
1996
Wave propagation in a system: Porous media with Dirichlet’s condition on the boundary – continuous media. Zbl 0874.76082
Gilbert, R.; Gnélécoumbaga, S.; Panasenko, G.
1995
$$L$$-convergence and optimal design of rod structures. Zbl 0830.73047
Panasenko, Grigori P.
1995
An asymptotic analysis of junctions of non-homogeneous elastic rods: Boundary layers and asymptotic expansions. Zbl 0816.73025
Panasenko, G. P.; Saint Jean Paulin, Jeannine
1993
Averaging of a three-dimensional problem of the theory of elasticity in an inhomogeneous bar. Zbl 0757.73030
Kozlova, M. V.; Panasenko, G. P.
1991
Multicomponent averaging of processes in strongly inhomogeneous structures. Zbl 0703.35021
Panasenko, G. P.
1990
Asymptotics of the eigenvalues of elliptic equations with strongly varying coefficients. Zbl 0689.35068
Panasenko, G. P.
1989
Asymptotic expansion of the solution of a system of elasticity equations in an inhomogeneous thin layer. Zbl 0792.73006
Panasenko, G. P.; Reztsov, M. V.
1989
The averaging method for partial differential equation and its applications. Zbl 0657.35017
Bakhvalov, N. S.; Panasenko, G. P.; Shtaras, A. L.
1988
Numerical solution of cell problems of averaging theory. Zbl 0646.65086
Panasenko, G. P.
1988
The averaging method for partial differential equations (homogenization) and its applications. Zbl 0907.35019
Bakhvalov, N. S.; Panasenko, G. P.; Shtaras, A. L.
1988
A variant of a Phragmén-Lindelöf theorem for elliptic equations with coefficients that are periodic functions of all variables except one. Zbl 0669.35011
Landis, E. M.; Panasenko, G. P.
1985
Viscous fluid-thin elastic plate interaction: asymptotic analysis with respect to the rigidity and density of the plate. Zbl 1431.76101
Panasenko, Grigory P.; Stavre, Ruxandra
2020
Junction of models of different dimension for flows in tube structures by Womersley-type interface conditions. Zbl 1419.35155
Bertoglio, Cristóbal; Conca, Carlos; Nolte, David; Panasenko, Grigory; Pileckas, Konstantinas
2019
Viscous fluid-thin cylindrical elastic body interaction: asymptotic analysis on contrasting properties. Zbl 1409.74013
Panasenko, Grigory P.; Stavre, R.
2019
Partial dimension reduction for the heat equation in a domain containing thin tubes. Zbl 1406.35143
Amosov, Andrey; Panasenko, Grigory
2018
Asymptotic analysis and domain decomposition for a biharmonic problem in a thin multi-structure. Zbl 1347.35106
Gaudiello, Antonio; Panasenko, Grigory; Piatnitski, Andrey
2016
Asymptotic analysis of a thin rigid stratified elastic plate – viscous fluid interaction problem. Zbl 1357.35087
Malakhova-Ziablova, Irina; Panasenko, Grigory; Stavre, Ruxandra
2016
Optimization of textile-like materials via homogenization and beam approximations. Zbl 1338.35424
Orlik, Julia; Panasenko, Grigory; Shiryaev, Vladimir
2016
Asymptotic analysis of the non-steady Navier-Stokes equations in a tube structure. I: The case without boundary-layer-in-time. Zbl 1326.35248
Panasenko, Grigory; Pileckas, Konstantin
2015
Asymptotic analysis of the non-steady Navier-Stokes equations in a tube structure. II: General case. Zbl 1332.35268
Panasenko, Grigory; Pileckas, Konstantin
2015
Divergence equation in thin-tube structures. Zbl 1320.35286
Panasenko, Grigory; Pileckas, Konstantin
2015
Asymptotic approximations of a thin elastic beam with auxiliary coupled 1D system due to Robin boundary condition. Zbl 1326.35372
Bare, Z.; Orlik, J.; Panasenko, G.
2015
Finite volume implementation of the method of asymptotic partial domain decomposition for the heat equation on a thin structure. Zbl 1327.35129
Panasenko, G.; Viallon, M.-C.
2015
Asymptotic analysis of a viscous fluid-thin plate interaction: periodic flow. Zbl 1291.74067
Panasenko, G. P.; Stavre, R.
2014
Flows in a tube structure: equation on the graph. Zbl 1366.35137
Panasenko, Grigory; Pileckas, Konstantin
2014
Asymptotic dimension reduction of a Robin-type elasticity boundary value problem in thin beams. Zbl 1292.74021
Bare, D. Z.; Orlik, J.; Panasenko, G.
2014
Method of asymptotic partial domain decomposition for non-steady problems: heat equation on a thin structure. Zbl 1309.35003
Panasenko, Grigory
2014
Viscous fluid-thin cylindrical elastic layer interaction: asymptotic analysis. Zbl 1296.76125
Panasenko, G. P.; Stavre, R.
2014
Asymptotic-numerical derivation of the Robin type coupling conditions for the macroscopic pressure at a reservoir-capillaries interface. Zbl 1270.35062
D’Angelo, Carlo; Panasenko, Grigory; Quarteroni, Alfio
2013
Homogenization of a thermo-chemo-viscoelastic Kelvin-Voigt model. Zbl 1302.74135
Amosov, Andrey; Kostin, Ilya; Panasenko, Grigory; Smyshlyaev, Valery P.
2013
Error estimate in a finite volume approximation of the partial asymptotic domain decomposition. Zbl 1273.65165
Panasenko, Grigory; Viallon, Marie-Claude
2013
Asymptotic analysis of the nonsteady viscous flow with a given flow rate in a thin pipe. Zbl 1237.76149
Panasenko, Grigory; Pileckas, Konstantin
2012
Continuous mathematical model of platelet thrombus formation in blood flow. Zbl 06032989
Tokarev, A.; Sirakov, I.; Panasenko, G.; Volpert, V.; Shnol, E.; Butylin, A.; Ataullakhanov, F.
2012
Asymptotic analysis of the Stokes flow in a thin cylindrical elastic tube. Zbl 1252.76071
Panasenko, G. P.; Stavre, R.
2012
Asymptotic expansion of the solution of the steady Stokes equation with variable viscosity in a two-dimensional tube structure. Zbl 1452.76043
Cardone, G.; Fares, R.; Panasenko, G. P.
2012
Asymptotic numerical analysis of the diffusion-discrete absorption equation. Zbl 1238.65062
Kurbatova, P.; Panasenko, G.; Volpert, V.
2012
The problem of thermo-chemical formation of a composite material. Properties of solutions and homogenization. Zbl 1252.35261
Amosov, A. A.; Panasenko, G. P.
2012
A viscous fluid flow through a thin channel with mixed rigid-elastic boundary: variational and asymptotic analysis. Zbl 1246.76022
Fares, R.; Panasenko, G. P.; Stavre, R.
2012
Asymptotic analysis of the one-dimensional diffusion-absorption equation with rapidly and strongly oscillating absorption coefficient. Zbl 1254.34076
Elbert, Alexander; Panasenko, Grigory
2012
Asymptotic analysis of the steady Stokes equation with randomly perturbed viscosity in a thin tube structure. Zbl 1290.35196
Cardone, G.; Carraro, L.; Fares, G. R.; Panasenko, G. P.
2011
Asymptotic analysis of the Stokes flow with variable viscosity in a thin elastic channel. Zbl 1263.76055
Panasenko, Grigory; Stavre, Ruxandra
2010
Asymptotic analysis and numerical modeling of mass transport in tubular structures. Zbl 1200.35021
Cardone, Giuseppe; Panasenko, Grigory P.; Sirakov, Yvan
2010
Well posedness and asymptotic expansion of solution of Stokes equation set in a thin cylindrical elastic tube. Zbl 1183.74062
Panasenko, Grigory P.; Stavre, Ruxandra
2010
Homogenization of a convection-diffusion equation in a thin rod structure. Zbl 1200.35023
Panasenko, G.; Pankratova, I.; Piatnitski, A.
2010
Memory effect in homogenization of a viscoelastic Kelvin-Voigt model with time-dependent coefficients. Zbl 1398.74038
Abdessamad, Zouhair; Kostin, Ilya; Panasenko, Grigory; Smyshlyaev, Valery P.
2009
Boundary conditions for the high order homogenized equation: laminated rods, plates and composites. Zbl 1173.35311
Panasenko, Grigory
2009
Asymptotic solution for a micropolar flow in a curvilinear channel. Zbl 1147.76048
Dupuy, D.; Panasenko, G. P.; Stavre, R.
2008
Asymptotic analysis of a non-periodic flow in a thin channel with visco-elastic wall. Zbl 1156.76430
Panasenko, Grigory; Stavre, Ruxandra
2008
The finite volume implementation of the partial asymptotic domain decomposition. Zbl 1154.35310
Panasenko, G.; Viallon, M.-C.
2008
Khokhlov-Zabolotskaya-Kuznetsov-type equation: Nonlinear acoustics in heterogeneous media. Zbl 1157.35458
Kostin, I.; Panasenko, G.
2008
Partial homogenization of discrete models. Zbl 1173.35334
Etoughe, M. Betoue; Panasenko, G.
2008
Homogenization of integro-differential equation of Burgers type. Zbl 1154.35309
Panasenko, G.; Pshenitsyna, N.
2008
The partial homogenization: continuous and semi-discretized versions. Zbl 1169.74038
Panasenko, Grigory
2007
F.E.M. implementation for the asymptotic partial decomposition. Zbl 1115.65114
Fontvieille, F.; Panasenko, G. P.; Pousin, J.
2007
Homogenization of thermo-viscoelastic Kelvin-Voigt model. Zbl 1133.35315
Abdessamad, Zouhair; Kostin, Ilya; Panasenko, Grigory; Smyshlyaev, Valery P.
2007
Asymptotic partial decomposition of domain for spectral problems in rod structures. Zbl 1107.74020
Panasenko, G. P.; Pérez, E.
2007
An approximate solution to the integral radiative transfer equation in an optically thick slab. Zbl 1121.85003
Amosov, Andrey; Panasenko, Grigory
2007
Asymptotic analysis of a periodic flow in a thin channel with viscoelastic wall. Zbl 1088.74022
Panasenko, G. P.; Stavre, R.
2006
Asymptotic partial decomposition for diffusion with sorption in thin structures. Zbl 1103.35029
Cardone, G.; Corbo Esposito, A.; Panasenko, G. P.
2006
Khokhlov-Zabolotskaya-Kuznetsov type equation: nonlinear acoustics in heterogeneous media. Zbl 1370.76160
Kostin, Ilya; Panasenko, Grigory
2006
Asymptotic analysis of an array of closely spaced absolutely conductive inclusions. Zbl 1116.35310
Berlyand, Leonid; Cardone, Giuseppe; Gorb, Yuliya; Panasenko, Gregory
2006
Mutli-scale modelling for structures and composites. Zbl 1078.74002
Panasenko, G.
2005
Thermo-chemical modelling of the formation of a composite material. Zbl 1064.35019
Meliani, S.; Panasenko, G.
2005
Asymptotic analysis and asymptotic domain decomposition for an integral equation of the radiative transfer type. Zbl 1089.45004
Amosov, Andrey; Panasenko, Grigory
2005
Asymptotic methods for micropolar fluids in a tube structure. Zbl 1076.76004
Dupuy, D.; Panasenko, G. P.; Stavre, R.
2004
Asymptotic analysis for micropolar fluids. Zbl 1176.76010
Dupuy, Delphine; Panasenko, Gregory P.; Stavre, Ruxandra
2004
An approximate solution to the integral radiative transfer equation in an optically thick slab. Zbl 1223.85005
Amosov, Andrey; Panasenko, Grigori; Rutily, Bernard
2003
Flow in wavy tube structure: asymptotic analysis and numerical simulation. Zbl 1223.76048
Ainser, Auder; Dupuy, Delphine; Panasenko, Gregory P.; Sirakov, Ivan
2003
Homogenization of two-phase flow: High contrast of phase permeability. Zbl 1178.76299
Panasenko, Gregory P.; Virnovsky, George
2003
The method of asymptotic partial decomposition of domain and partial homogenization. Zbl 1125.35316
Panasenko, G. P.
2003
Asymptotic analysis of integral equations for a great interval and its application to stellar radiative transfer. Zbl 1173.78308
Panasenko, Grigori; Rutily, Bernard; Titaud, Olivier
2002
Asymptotic expansion of the solution of Navier-Stokes equation in tube structure and partial asymptotic decomposition of the domain. Zbl 1034.35097
Panasenko, Grigori P.
2000
Homogenization of high-frequency nonlinear acoustic equations. Zbl 1024.76049
Panasenko, Gregory P.; Lapshin, Evgueny A.
2000
Asymptotic analysis and partial asymptotic decomposition of domain for Stokes equation in tube structure. Zbl 1035.76010
Blanc, F.; Gipouloux, O.; Panasenko, G.; Zine, A. M.
1999
Method of asymptotic partial decomposition of domain. Zbl 0940.35026
Panasenko, G. P.
1998
Asymptotic expansion of the solution of Navier-Stokes equation in a tube structure. Zbl 0962.76023
Panasenko, Grigori P.
1998
Partial asymptotic decomposition of domain: Navier-Stokes equation in tube structure. Zbl 0964.76017
Panasenko, Grigori P.
1998
Homogenization of lattice-like domains: $$L$$-convergence. Zbl 0942.35022
Panasenko, G. P.
1998
Optimization of finite rod structures and L-convergence. Zbl 0952.74054
Chiheb, R.; Panasenko, G. P.
1998
Reinforced reticulated structures in elasticity. Zbl 0913.73048
Chiheb, Raddouane; Cioranescu, Doina; El Janati, Abdessalam; Panasenko, Grigori
1998
Asymptotic analysis of bar systems. II. Zbl 0924.73021
Panasenko, Grigory P.
1996
An asymptotic solution of the Dirichlet problem for the Poisson equation on a nonperiodic frame. Zbl 0915.35023
Lapshin, A. E.; Panasenko, G. P.
1996
Multicomponent homogenization of the vibration problem for incompressible media with heavy and rigid inclusions. Zbl 0840.73005
Panasenko, Grigori
1995
Wave propagation in a system: Porous media with Dirichlet’s condition on the boundary – continuous media. Zbl 0874.76082
Gilbert, R.; Gnélécoumbaga, S.; Panasenko, G.
1995
$$L$$-convergence and optimal design of rod structures. Zbl 0830.73047
Panasenko, Grigori P.
1995
Asymptotic analysis of bar systems. I. Zbl 0924.73020
Panasenko, Grigory P.
1994
An asymptotic analysis of junctions of non-homogeneous elastic rods: Boundary layers and asymptotic expansions. Zbl 0816.73025
Panasenko, G. P.; Saint Jean Paulin, Jeannine
1993
Asymptotic solutions of a system of the theory of elasticity for bar and skeleton structures. Zbl 0753.73011
Panasenko, G. P.
1992
Asymptotic solutions of the system of elasticity theory for rod and frame structures. Zbl 0774.73010
Panasenko, G. P.
1992
Multicomponent homogenization of processes in strongly nonhomogeneous structures. Zbl 0719.35006
Panasenko, G. P.
1991
Averaging of a three-dimensional problem of elasticity theory for an inhomogeneous rod. Zbl 0786.73040
Kozlova, M. V.; Panasenko, G. P.
1991
Averaging of a three-dimensional problem of the theory of elasticity in an inhomogeneous bar. Zbl 0757.73030
Kozlova, M. V.; Panasenko, G. P.
1991
A numerical-asymptotic multicomponent averaging method for equations with contrast coefficients. Zbl 0718.73008
Panasenko, G. P.
1990
Multicomponent averaging of processes in strongly inhomogeneous structures. Zbl 0703.35021
Panasenko, G. P.
1990
Homogenisation: Averaging processes in periodic media. Mathematical problems in the mechanics of composite materials. Transl. from the Russian by D. Leites. Zbl 0692.73012
Bakhvalov, N. S.; Panasenko, G.
1989
Asymptotics of the eigenvalues of elliptic equations with strongly varying coefficients. Zbl 0689.35068
Panasenko, G. P.
1989
Asymptotic expansion of the solution of a system of elasticity equations in an inhomogeneous thin layer. Zbl 0792.73006
Panasenko, G. P.; Reztsov, M. V.
1989
Numerical solution of cell problems in averaging theory. Zbl 0668.65098
Panasenko, G. P.
1988
The averaging method for partial differential equation and its applications. Zbl 0657.35017
Bakhvalov, N. S.; Panasenko, G. P.; Shtaras, A. L.
1988
Numerical solution of cell problems of averaging theory. Zbl 0646.65086
Panasenko, G. P.
1988
The averaging method for partial differential equations (homogenization) and its applications. Zbl 0907.35019
Bakhvalov, N. S.; Panasenko, G. P.; Shtaras, A. L.
1988
Averaging a three-dimensional problem of elasticity theory in an inhomogeneous plate. Zbl 0644.73050
Panasenko, G. P.; Reztsov, M. V.
1987
Asymptotics of eigenvalues of elliptic equations with strongly varying coefficients. Zbl 0659.35077
Panasenko, G. P.
1987
A variant of a Phragmén-Lindelöf theorem for elliptic equations with coefficients that are periodic functions of all variables except one. Zbl 0669.35011
Landis, E. M.; Panasenko, G. P.
1985
Averaging processes in periodic media. Mathematical problems of the mechanics of composite materials. (Osrednenie protsessov v periodicheskikh sredakh. Matematicheskie zadachi mekhaniki kompozitsionnykh materialov). Zbl 0607.73009
Bakhvalov, N. S.; Panasenko, G. P.
1984
Asymptotic expansion of solutions of the system of elasticity theory in perforated domains. Zbl 0534.73013
Olejnik, O. A.; Iosif’yan, G. A.; Panasenko, G. P.
1984
Homogenization and asymptotic expansions for solutions of the elasticity system with rapidly oscillating periodic coefficients. Zbl 0479.35022
Oleĭnik, O. A.; Panasenko, G. P.; Yosifian, G. A.
1983
Asymptotic expansion of solutions of a system in the theory of elasticity for perforated domains. Zbl 0515.73018
Olejnik, O. A.; Iosif’yan, G. A.; Panasenko, G. P.
1983
Averaging fields in composite materials with high-elastic modulus reinforcement. Zbl 0563.73048
Panasenko, G. P.
1983
Averaging of processes in frame constructions with random properties. Zbl 0563.73003
Panasenko, G. P.
1983
Asymptotic expansion of a solution of the system of elasticity theory with periodic, rapidly oscillating coefficients. Zbl 0542.35011
Iiosifyan, G. A.; Olejnik, O. A.; Panasenko, G. P.
1982
...and 5 more Documents
all top 5

#### Cited by 835 Authors

 58 Panasenko, Grigory P. 30 Nazarov, Sergeĭ Aleksandrovich 26 Suslina, Tat’yana Aleksandrovna 22 Rodríguez-Ramos, Reinaldo 16 Bravo-Castillero, Julián 14 Pažanin, Igor 13 Sabina, Federico J. 13 Stavre, Ruxandra 12 Guinovart-Díaz, Raúl 11 Amosov, Andreĭ Avenirovich 11 Gaudiello, Antonio 11 Kolpakov, Alexander G. 11 Pastukhova, Svetlana Evgenievna 10 Kalamkarov, Alexander L. 10 Penta, Raimondo 9 Andrianov, Igor V. 9 Cardone, Giuseppe 9 Chechkin, Gregory Aleksandrovich 9 Pileckas, Konstantin 8 Allaire, Grégoire 8 Khludnev, Aleksandr Mikhaĭlovich 8 Marušić-Paloka, Eduard 8 Pérez-Fernández, Leslie D. 8 Volpert, Vitaly A. 7 Borisov, Denis Ivanovich 7 Cherednichenko, Kirill D. 7 Danishevskiĭ, Vladislav Valentinovich 7 Dobrokhotov, Sergei Yurievich 7 Gorbachëv, Vladimir Ivanovich 7 Kozlov, Vladimir A. 7 Mel’nyk, Taras A. 7 Orlik, Julia 7 Visintin, Augusto 6 Berdichevskiĭ, Viktor L’vovich 6 Birman, Mikhail Shlëmovich 6 Ramírez-Torres, Ariel 6 Smyshlyaev, Valery P. 5 Craster, Richard V. 5 Defranceschi, Anneliese 5 Grushin, V. V. 5 Mel’nik, T. A. 5 Parnell, William J. 5 Parton, Vladimir Z. 5 Piatnitski, Andrey L. 5 Shumilova, Vladlena Valerievna 5 Suárez-Grau, Francisco Javier 5 Temizer, Ilker 5 Wriggers, Peter 5 Zhikov, Vasiliĭ Vasil’evich 4 Bacigalupo, Andrea 4 Bellieud, Michel 4 Brenner, Renald 4 Chiadò Piat, Valeria 4 Fish, Jacob 4 Ganghoffer, Jean-François 4 Georgiades, A. V. 4 Givoli, Dan 4 Kudryavtsev, Boris A. 4 Lebon, Frédéric 4 López-Realpozo, Juan Carlos 4 Merodio, Jose 4 Meshkova, Yuliya Mikhaĭlovna 4 Movchan, Alexander B. 4 Otero, José Antonio 4 Pankratov, Leonid S. 4 Radulović, Marko 4 Shamaev, Alexei S. 4 Viallon, Marie-Claude 4 Weichert, Dieter 4 Woźniak, Czesław 3 Abdulle, Assyr 3 Abrahams, I. David 3 Amar, Micol 3 Andrianov, Igor Vasil’evich 3 Argatov, Ivan I. 3 Bakhvalov, Nikolai Sergeevich 3 Beneš, Michal 3 Bessonov, Nikolay M. 3 Briane, Marc 3 Brito-Santana, Humberto 3 Cao, Liqun 3 Casado-Díaz, Juan 3 Chechkina, Tatiana P. 3 Chung, Tsz Shun Eric 3 Cioranescu, Doina 3 Conca, Carlos 3 Cruz, Manuel E. 3 Dalla Riva, Matteo 3 Dascalu, Ch. 3 Dorodnyi, M. A. 3 Èglit, Margarita Èrnestovna 3 Èl’bert, Aleksandr Evgen’evich 3 Ferreira, António Joaquim Mendes 3 Gómez, Delfina 3 Guenneau, Sebastien R. L. 3 Guibé, Olivier 3 Hadjiloizi, D. A. 3 Hoang, Viet Ha 3 Hou, Thomas Yizhao 3 Jäger, Willi ...and 735 more Authors
all top 5

#### Cited in 162 Serials

 47 Journal of Mathematical Sciences (New York) 31 Applicable Analysis 28 International Journal of Engineering Science 27 Computer Methods in Applied Mechanics and Engineering 24 Journal of Applied Mathematics and Mechanics 23 St. Petersburg Mathematical Journal 18 Mathematical Notes 14 Journal of the Mechanics and Physics of Solids 14 European Journal of Mechanics. A. Solids 13 Journal of Computational and Applied Mathematics 13 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Mathematics and Mechanics of Solids 11 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 11 Doklady Mathematics 10 Computers & Mathematics with Applications 10 Journal of Mathematical Analysis and Applications 9 Acta Mechanica 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Functional Analysis and its Applications 8 Archive for Rational Mechanics and Analysis 8 Fluid Dynamics 8 Mathematical Methods in the Applied Sciences 8 SIAM Journal on Mathematical Analysis 7 Journal of Differential Equations 7 Computational Mechanics 6 International Journal of Solids and Structures 6 Meccanica 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Journal of Elasticity 6 Archive of Applied Mechanics 6 Multiscale Modeling & Simulation 6 Proceedings of the Steklov Institute of Mathematics 5 Wave Motion 5 Prikladnaya Matematika i Mekhanika 5 SIAM Journal on Applied Mathematics 5 Continuum Mechanics and Thermodynamics 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Lobachevskii Journal of Mathematics 4 Journal of Mathematical Physics 4 Moscow University Mechanics Bulletin 4 Acta Applicandae Mathematicae 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Applied Mathematical Modelling 4 Russian Journal of Mathematical Physics 4 Mathematical Problems in Engineering 4 Differential Equations 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Engineering Mathematics 3 Ukrainian Mathematical Journal 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Siberian Mathematical Journal 3 Mathematical and Computer Modelling 3 Computational Mathematics and Mathematical Physics 3 Calculus of Variations and Partial Differential Equations 3 International Applied Mechanics 3 Russian Journal of Numerical Analysis and Mathematical Modelling 3 Matematicheskoe Modelirovanie 3 Mathematical Modelling of Natural Phenomena 2 Communications in Mathematical Physics 2 Journal of Computational Physics 2 Lithuanian Mathematical Journal 2 Mathematics of Computation 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Computation 2 Applied Mathematics and Optimization 2 Journal of Soviet Mathematics 2 Mathematics and Computers in Simulation 2 Mechanics Research Communications 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Numerical Analysis 2 Applied Numerical Mathematics 2 Applications of Mathematics 2 Communications in Partial Differential Equations 2 Cybernetics and Systems Analysis 2 Computational and Applied Mathematics 2 Sbornik: Mathematics 2 Journal of Mathematical Chemistry 2 Computing and Visualization in Science 2 Abstract and Applied Analysis 2 Journal of Applied Mechanics and Technical Physics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Revista Matemática Complutense 2 Journal of Mathematical Fluid Mechanics 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Communications in Contemporary Mathematics 2 Nonlinear Analysis. Real World Applications 2 Differentsial’nye Uravneniya i Protsessy Upravleniya 2 Computational Methods in Applied Mathematics 2 Communications on Pure and Applied Analysis 2 Mediterranean Journal of Mathematics 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Bulletin of the Russian Academy of Sciences: Physics 2 S$$\vec{\text{e}}$$MA Journal 2 Nonlinear Analysis. Theory, Methods & Applications 2 Open Mathematics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Mechanics of Solids 1 International Journal of Modern Physics B 1 Computer Physics Communications ...and 62 more Serials
all top 5

#### Cited in 38 Fields

 370 Partial differential equations (35-XX) 347 Mechanics of deformable solids (74-XX) 131 Fluid mechanics (76-XX) 62 Numerical analysis (65-XX) 36 Operator theory (47-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 30 Biology and other natural sciences (92-XX) 28 Optics, electromagnetic theory (78-XX) 24 Classical thermodynamics, heat transfer (80-XX) 19 Ordinary differential equations (34-XX) 14 Statistical mechanics, structure of matter (82-XX) 9 Integral equations (45-XX) 9 Systems theory; control (93-XX) 8 Geophysics (86-XX) 5 Functional analysis (46-XX) 5 Quantum theory (81-XX) 4 Potential theory (31-XX) 4 Probability theory and stochastic processes (60-XX) 3 Approximations and expansions (41-XX) 3 Mechanics of particles and systems (70-XX) 3 Astronomy and astrophysics (85-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)