# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 71 Publications since 1979 Reviewing Activity: 137 Reviews
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#### Co-Authors

 35 single-authored 5 Frid, Hermano 4 Amirat, Youcef Aït 4 Èl’tsov, Igor’ Nikolaevich 3 Basov, Ivan V. 3 Růžička, Michael 2 Èpov, Mikhail Ivanovich 2 Kondo, Cezar I. 1 Chernykh, M. A. 1 Isakov, A. E. 1 Kazhikov, Aleksandr Vasil’evich 1 LeFloch, Philippe Gerard 1 Málek, Josef 1 Perepelitsa, Misha 1 Santos, Marcelo M. 1 Terent’ev, S. A.
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#### Serials

 9 Dinamika Sploshnoĭ Sredy 4 Siberian Mathematical Journal 4 SIAM Journal on Mathematical Analysis 4 Doklady Akademii Nauk 4 Prikladnaya Mekhanika i Tekhnicheskaya Fizika 3 Journal of Applied Mathematics and Mechanics 3 European Journal of Applied Mathematics 3 Doklady Mathematics 2 Archive for Rational Mechanics and Analysis 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Applicable Analysis 1 Communications in Mathematical Physics 1 International Journal of Non-Linear Mechanics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Matematicheskie Zametki 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Differential Equations 1 Manuscripta Mathematica 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Soviet Mathematics. Doklady 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Non-Newtonian Fluid Mechanics 1 Russian Academy of Sciences. Doklady. Mathematics 1 Vestnik Rossiĭskogo Universiteta Druzhby Narodov. Seriya Matematika 1 Matemática Contemporânea 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Journal of Mathematical Fluid Mechanics 1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika 1 Journal of Hyperbolic Differential Equations
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#### Fields

 52 Fluid mechanics (76-XX) 46 Partial differential equations (35-XX) 5 Geophysics (86-XX) 4 Optics, electromagnetic theory (78-XX) 3 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH

50 Publications have been cited 288 times in 183 Documents Cited by Year
Vanishing shear viscosity in the equations of compressible fluids for the flows with the cylinder symmetry. Zbl 0956.35102
2000
Boundary layers for the Navier-Stokes equations of compressible fluids. Zbl 0946.35060
1999
Herschel-Bulkley fluids: existence and regularity of steady flows. Zbl 1098.76008
Málek, J.; Růžička, M.; Shelukhin, V. V.
2005
Bingham viscoplastic as a limit of non-Newtonian fluids. Zbl 1002.35097
Shelukhin, V. V.
2002
A shear flow problem for the compressible Navier-Stokes equations. Zbl 0894.76071
Shelukhin, V. V.
1998
The limit of zero shear viscosity for compressible fluids. Zbl 0922.35127
1998
A nonlocal in time model for radionuclide propagation in Stokes fluid. Zbl 0831.76086
Shelukhin, V. V.
1993
A quasi-linear parabolic system for three-phase capillary flow in porous media. Zbl 1049.35097
2003
Generalized solutions to the equations of compressible Bingham flows. Zbl 0928.76009
Basov, I. V.; Shelukhin, V. V.
1999
Motion with a contact break in a viscous, heat conducting gas. Zbl 0543.76105
Shelukhin, V. V.
1982
Nonhomogeneous incompressible Bingham viscoplastic as a limit of nonlinear fluids. Zbl 1107.76005
Basov, I. V.; Shelukhin, V. V.
2007
Initial boundary value problems for a quasi-linear parabolic system in three-phase capillary flow in porous media. Zbl 1083.35049
2005
Boundary layers in parabolic perturbations of scalar conservation laws. Zbl 1065.35032
2004
Vanishing shear viscosity in a free-boundary problem for the equations of compressible fluids. Zbl 0971.35062
2000
Symmetries and global solvability of the isothermal gas dynamics equations. Zbl 1178.76302
2005
On Cosserat-Bingham fluids. Zbl 1372.76009
Shelukhin, V. V.; Růžička, M.
2013
A variational principle for linear evolution problems nonlocal in time. Zbl 0835.34078
Shelukhin, V. V.
1993
A problem with time-averaged data for nonlinear parabolic equations. Zbl 0764.35049
Shelukhin, V. V.
1991
Homogenization of time harmonic Maxwell equations and the frequency dispersion effect. Zbl 1228.35025
2011
Electroosmosis law via homogenization of electrolyte flow equations in porous media. Zbl 1133.76054
2008
Global weak solutions to equations of compressible miscible flows in porous media. Zbl 1156.35050
Amirat, Y.; Shelukhin, V.
2007
A problem nonlocal in time for the equations of the dynamics of a barotropic ocean. Zbl 0855.76089
Shelukhin, V. V.
1995
On the structure of generalized solutions of the one-dimensional equations of a polytropic viscous gas. Zbl 0591.76128
Shelukhin, V. V.
1984
Bounded, almost periodic solutions of equations of viscous gas. Zbl 0512.76073
Shelukhin, V. V.
1980
A model of a Bingham fluid in stress-velocity variables. Zbl 1090.76506
Shelukhin, V. V.
2001
The problem on displacement of particles for the model Burgers system of viscous gas. Zbl 0702.76082
Shelukhin, V. V.
1988
Existence theorem in the variational problem for compressible inviscid fluids. Zbl 0658.76065
1988
Evolution of a contact discontinuity in the barotropic flow of a viscous gas. Zbl 0583.76086
Shelukhin, V. V.
1985
Steady flows of Cosserat-Bingham fluids. Zbl 1365.35126
Růžička, Michael; Shelukhin, Vladimir; dos Santos, Marcelo Martins
2017
On an extremal property of the Poiseuille flow between two coaxial cylinders. Zbl 1224.76039
Shelukhin, V. V.; Chernykh, M. A.
2009
Homogenization of Maxwell equations and the Maxwell-Wagner dispersion. Zbl 1199.78008
Shelukhin, V. V.; Terent’ev, S. A.
2009
Invasion zones in lateral drilling. Zbl 1108.76365
Shelukhin, V. V.; Èl’tsov, I. N.
2004
The problem of averaged (with respect to time) data for Navier-Stokes equations. Zbl 0850.76120
Shelukhin, V. V.
1989
Global solvability of the one-dimensional Cosserat-Bingham fluid equations. Zbl 1326.35286
Shelukhin, V. V.; Chemetov, N. V.
2015
On one slip condition for the equations of a viscous fluid. Zbl 1297.76182
Shelukhin, V. V.; Khristenko, U. A.
2013
Elastic waves in layered media: two-scale homogenization approach. Zbl 1254.74095
Shelukhin, V. V.; Isakov, A. E.
2012
Invasion around a horizontal wellbore. Zbl 1141.76064
Shelukhin, V. V.
2008
Non-local parabolic systems: applications in the three-phase capillary fluid filtration. Zbl 1112.35090
Shelukhin, V. V.; Kondo, C. I.
2005
Quasistationary sedimentation with adsorption. Zbl 1089.76062
Shelukhin, V. V.
2005
A shock layer in parabolic perturbations of a scalar conservation law. Zbl 1058.35166
2003
Compactness of bounded quasientropy solutions to the system of equations of an isothermal gas. Zbl 1034.76050
Shelukhin, V. V.
2003
On global solutions of a boundary-value problem for the one-dimensional Buckley-Leverett equations. Zbl 1026.35091
Perepelitsa, M.; Shelukhin, V.
1999
On equations of a nonlinear compressible fluid with a discontinuous constitutive law. Zbl 0928.76089
Basov, I. V.; Shelukhin, V. V.
1999
A free-boundary value problem for the Navier-Stokes equations of compressible shear flows. Zbl 0916.35142
1998
A class of shear flows of a viscous compressible fluid. Zbl 0999.76574
Shelukhin, V. V.
1996
The justification of the conjugate conditions for the Euler’s and Darcy’s equations. Zbl 0817.35081
Shelukhin, V. V.
1992
On the solution of linear evolution equations by a variational method. Zbl 0782.35030
Shelukhin, V. V.
1991
On a quadratic functional in a nonlocal boundary value problem for the heat equation. Zbl 0759.35027
Shelukhin, V. V.
1991
On a class of Young-generalized solutions of equations of ideal compressible fluid. Zbl 0666.76091
Shelukhin, V. V.
1987
Existence of periodic solutions of the generalized Burgers system. Zbl 0483.76082
Shelukhin, V. V.
1979
Steady flows of Cosserat-Bingham fluids. Zbl 1365.35126
Růžička, Michael; Shelukhin, Vladimir; dos Santos, Marcelo Martins
2017
Global solvability of the one-dimensional Cosserat-Bingham fluid equations. Zbl 1326.35286
Shelukhin, V. V.; Chemetov, N. V.
2015
On Cosserat-Bingham fluids. Zbl 1372.76009
Shelukhin, V. V.; Růžička, M.
2013
On one slip condition for the equations of a viscous fluid. Zbl 1297.76182
Shelukhin, V. V.; Khristenko, U. A.
2013
Elastic waves in layered media: two-scale homogenization approach. Zbl 1254.74095
Shelukhin, V. V.; Isakov, A. E.
2012
Homogenization of time harmonic Maxwell equations and the frequency dispersion effect. Zbl 1228.35025
2011
On an extremal property of the Poiseuille flow between two coaxial cylinders. Zbl 1224.76039
Shelukhin, V. V.; Chernykh, M. A.
2009
Homogenization of Maxwell equations and the Maxwell-Wagner dispersion. Zbl 1199.78008
Shelukhin, V. V.; Terent’ev, S. A.
2009
Electroosmosis law via homogenization of electrolyte flow equations in porous media. Zbl 1133.76054
2008
Invasion around a horizontal wellbore. Zbl 1141.76064
Shelukhin, V. V.
2008
Nonhomogeneous incompressible Bingham viscoplastic as a limit of nonlinear fluids. Zbl 1107.76005
Basov, I. V.; Shelukhin, V. V.
2007
Global weak solutions to equations of compressible miscible flows in porous media. Zbl 1156.35050
Amirat, Y.; Shelukhin, V.
2007
Herschel-Bulkley fluids: existence and regularity of steady flows. Zbl 1098.76008
Málek, J.; Růžička, M.; Shelukhin, V. V.
2005
Initial boundary value problems for a quasi-linear parabolic system in three-phase capillary flow in porous media. Zbl 1083.35049
2005
Symmetries and global solvability of the isothermal gas dynamics equations. Zbl 1178.76302
2005
Non-local parabolic systems: applications in the three-phase capillary fluid filtration. Zbl 1112.35090
Shelukhin, V. V.; Kondo, C. I.
2005
Quasistationary sedimentation with adsorption. Zbl 1089.76062
Shelukhin, V. V.
2005
Boundary layers in parabolic perturbations of scalar conservation laws. Zbl 1065.35032
2004
Invasion zones in lateral drilling. Zbl 1108.76365
Shelukhin, V. V.; Èl’tsov, I. N.
2004
A quasi-linear parabolic system for three-phase capillary flow in porous media. Zbl 1049.35097
2003
A shock layer in parabolic perturbations of a scalar conservation law. Zbl 1058.35166
2003
Compactness of bounded quasientropy solutions to the system of equations of an isothermal gas. Zbl 1034.76050
Shelukhin, V. V.
2003
Bingham viscoplastic as a limit of non-Newtonian fluids. Zbl 1002.35097
Shelukhin, V. V.
2002
A model of a Bingham fluid in stress-velocity variables. Zbl 1090.76506
Shelukhin, V. V.
2001
Vanishing shear viscosity in the equations of compressible fluids for the flows with the cylinder symmetry. Zbl 0956.35102
2000
Vanishing shear viscosity in a free-boundary problem for the equations of compressible fluids. Zbl 0971.35062
2000
Boundary layers for the Navier-Stokes equations of compressible fluids. Zbl 0946.35060
1999
Generalized solutions to the equations of compressible Bingham flows. Zbl 0928.76009
Basov, I. V.; Shelukhin, V. V.
1999
On global solutions of a boundary-value problem for the one-dimensional Buckley-Leverett equations. Zbl 1026.35091
Perepelitsa, M.; Shelukhin, V.
1999
On equations of a nonlinear compressible fluid with a discontinuous constitutive law. Zbl 0928.76089
Basov, I. V.; Shelukhin, V. V.
1999
A shear flow problem for the compressible Navier-Stokes equations. Zbl 0894.76071
Shelukhin, V. V.
1998
The limit of zero shear viscosity for compressible fluids. Zbl 0922.35127
1998
A free-boundary value problem for the Navier-Stokes equations of compressible shear flows. Zbl 0916.35142
1998
A class of shear flows of a viscous compressible fluid. Zbl 0999.76574
Shelukhin, V. V.
1996
A problem nonlocal in time for the equations of the dynamics of a barotropic ocean. Zbl 0855.76089
Shelukhin, V. V.
1995
A nonlocal in time model for radionuclide propagation in Stokes fluid. Zbl 0831.76086
Shelukhin, V. V.
1993
A variational principle for linear evolution problems nonlocal in time. Zbl 0835.34078
Shelukhin, V. V.
1993
The justification of the conjugate conditions for the Euler’s and Darcy’s equations. Zbl 0817.35081
Shelukhin, V. V.
1992
A problem with time-averaged data for nonlinear parabolic equations. Zbl 0764.35049
Shelukhin, V. V.
1991
On the solution of linear evolution equations by a variational method. Zbl 0782.35030
Shelukhin, V. V.
1991
On a quadratic functional in a nonlocal boundary value problem for the heat equation. Zbl 0759.35027
Shelukhin, V. V.
1991
The problem of averaged (with respect to time) data for Navier-Stokes equations. Zbl 0850.76120
Shelukhin, V. V.
1989
The problem on displacement of particles for the model Burgers system of viscous gas. Zbl 0702.76082
Shelukhin, V. V.
1988
Existence theorem in the variational problem for compressible inviscid fluids. Zbl 0658.76065
1988
On a class of Young-generalized solutions of equations of ideal compressible fluid. Zbl 0666.76091
Shelukhin, V. V.
1987
Evolution of a contact discontinuity in the barotropic flow of a viscous gas. Zbl 0583.76086
Shelukhin, V. V.
1985
On the structure of generalized solutions of the one-dimensional equations of a polytropic viscous gas. Zbl 0591.76128
Shelukhin, V. V.
1984
Motion with a contact break in a viscous, heat conducting gas. Zbl 0543.76105
Shelukhin, V. V.
1982
Bounded, almost periodic solutions of equations of viscous gas. Zbl 0512.76073
Shelukhin, V. V.
1980
Existence of periodic solutions of the generalized Burgers system. Zbl 0483.76082
Shelukhin, V. V.
1979
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#### Cited by 243 Authors

 21 Shelukhin, Vladimir 9 Zhang, Jianwen 7 Růžička, Michael 7 Zhu, Changjiang 6 Málek, Josef 4 Amirat, Youcef Aït 4 Jiang, Song 4 Qin, Xulong 4 Qin, Yuming 4 Vasseur, Alexis F. 4 Wang, Zhian 4 Wen, Huanyao 4 Zhao, Xinhua 4 Zhou, Wenshu 4 Zlotnik, Alexander A. 3 Abreu, Eduardo 3 Bulíček, Miroslav 3 Dehghan Takht Fooladi, Mehdi 3 Devadze, D. Sh. 3 Gwiazda, Piotr 3 Hérard, Jean-Marc 3 Hou, Qianqian 3 Lian, Ruxu 3 Peng, Hongyun 3 Pivovarov, Yuriĭ Vladimirovich 3 Shelukhin, Vladimir Valentinovich 3 Tucsnak, Marius 3 Wang, Tao 3 Yang, Tong 3 Yao, Lei 3 Yao, Zhengan 3 Ye, Xia 2 Abbatiello, Anna 2 Amaziane, Brahim 2 Amosov, Andreĭ Avenirovich 2 Beirão da Veiga, Hugo 2 Chemetov, Nikolai V. 2 Ettwein, Frank 2 Fan, Jishan 2 Goudon, Thierry 2 Hoff, David 2 Hu, Xianpeng 2 LeFloch, Philippe Gerard 2 Los, Tomáš 2 Lyubanova, Anna Sh. 2 Mácha, Václav 2 Maity, Debayan 2 Mamontov, Aleksandr Evgen’evich 2 Nečasová, Šárka 2 Plotnikov, Pavel I. 2 Preziosi, Luigi 2 Ruan, Lizhi 2 Savateev, E. G. 2 Sokołowski, Jan 2 Souček, Ondřej 2 Starovoitov, Victor Nikolayevich 2 Straškraba, Ivan 2 Świerczewska-Gwiazda, Agnieszka 2 Turbin, Mikhail V. 2 Valli, Alberto 2 Wan, Ling 2 Wróblewska, Aneta 2 Xie, Feng 2 Zhao, Kun 2 Zhao, Wenbin 2 Zvyagin, Victor G. 1 Abashidze, Marina 1 Abbas, Muhammad 1 Ambrosi, Davide 1 Amirat, Yu. 1 Antontsev, Stanislav Nikolaevich 1 Aposporidis, Alexis 1 Artëmov, Mikhail Anatol’evich 1 Avalishvili, Gia 1 Avalishvili, Mariam 1 Bandopadhyay, Aditya 1 Baranovskiĭ, Evgeniĭ Sergeevich 1 Beridze, V. Sh. 1 Beridze, Vakhtang 1 Berres, Stefan 1 Bertuzzi, Alessandro 1 Blokhin, Aleksandr Mikhaĭlovich 1 Böhmer, Klaus 1 Bousbih, Hafedh 1 Brenier, Yann 1 Brizitskii, Roman Victorovich 1 Buhrii, Nataliya V. 1 Buhrii, Oleh 1 Bürger, Raimund 1 Bustos, Abel 1 Chakraborty, Suman 1 Chen, Gui-Qiang G. 1 Chen, Mingtao 1 Choquet, Catherine 1 Chupin, Laurent 1 Colombeau, Mathilde 1 Coulombel, Jean-François 1 Crispo, Francesca 1 Črnjarić-Žic, Nelida 1 Cui, Haibo ...and 143 more Authors
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#### Cited in 76 Serials

 13 Journal of Differential Equations 9 Journal of Mathematical Analysis and Applications 9 Journal of Applied Mechanics and Technical Physics 8 Siberian Mathematical Journal 8 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 Archive for Rational Mechanics and Analysis 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Journal of Mathematical Fluid Mechanics 5 Journal of Mathematical Sciences (New York) 5 Nonlinear Analysis. Real World Applications 4 Computers & Mathematics with Applications 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of Mathematical Physics 3 Mathematical Methods in the Applied Sciences 3 Mathematical Notes 3 Manuscripta Mathematica 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 European Journal of Applied Mathematics 3 Journal of Hyperbolic Differential Equations 2 Communications in Mathematical Physics 2 Communications on Pure and Applied Mathematics 2 Journal of Applied Mathematics and Mechanics 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Applied Numerical Mathematics 2 Mathematical and Computer Modelling 2 SIAM Journal on Mathematical Analysis 2 Russian Mathematics 2 Doklady Mathematics 2 Abstract and Applied Analysis 2 Journal of Inequalities and Applications 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Acta Mechanica 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Computational Physics 1 Chaos, Solitons and Fractals 1 Inventiones Mathematicae 1 Mathematics and Computers in Simulation 1 Rendiconti del Seminario Matematico della Università di Padova 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Scientific Computing 1 Applications of Mathematics 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 Continuum Mechanics and Thermodynamics 1 Calculus of Variations and Partial Differential Equations 1 Annales Mathématiques Blaise Pascal 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Discrete Dynamics in Nature and Society 1 European Journal of Mechanics. B. Fluids 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Dynamical and Control Systems 1 Lobachevskii Journal of Mathematics 1 The ANZIAM Journal 1 Communications on Pure and Applied Analysis 1 Multiscale Modeling & Simulation 1 Boundary Value Problems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Inverse Problems in Science and Engineering 1 Proceedings of the Steklov Institute of Mathematics 1 Kinetic and Related Models 1 Advances in Calculus of Variations 1 Advances in Mathematical Physics 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Journal of Theoretical Biology 1 Mathematics and Mechanics of Complex Systems 1 Journal of Function Spaces
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#### Cited in 24 Fields

 143 Partial differential equations (35-XX) 127 Fluid mechanics (76-XX) 13 Numerical analysis (65-XX) 12 Classical thermodynamics, heat transfer (80-XX) 9 Biology and other natural sciences (92-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Mechanics of deformable solids (74-XX) 5 Optics, electromagnetic theory (78-XX) 4 Ordinary differential equations (34-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 4 Geophysics (86-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)