## Chechkin, Gregory Aleksandrovich

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 Author ID: chechkin.gregory-a Published as: Chechkin, G. A.; Chechkin, Gregory A.; Chechkin, G.; Chechkin, Gregory Homepage: http://abris.tv/grisha/ External Links: MGP · ORCID · Math-Net.Ru · dblp
 Documents Indexed: 119 Publications since 1988, including 1 Book Co-Authors: 85 Co-Authors with 102 Joint Publications 2,574 Co-Co-Authors
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### Serials

 28 Journal of Mathematical Sciences (New York) 9 Doklady Mathematics 8 Applicable Analysis 4 Differential Equations 3 Mathematical Methods in the Applied Sciences 3 Russian Mathematical Surveys 3 Russian Journal of Mathematical Physics 3 Sbornik: Mathematics 3 Izvestiya: Mathematics 3 Problemy Matematicheskogo Analiza 2 Journal of Mathematical Analysis and Applications 2 Mathematical Notes 2 Siberian Mathematical Journal 2 Transactions of the Moscow Mathematical Society 2 Asymptotic Analysis 2 Discrete and Continuous Dynamical Systems. Series B 2 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Moscow University Mathematics Bulletin 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Chaos, Solitons and Fractals 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 Stochastic Processes and their Applications 1 Russian Academy of Sciences. Sbornik. Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Functional Differential Equations 1 Journal of Inequalities and Applications 1 Journal of Mathematical Fluid Mechanics 1 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 1 Acta Mathematica Sinica. English Series 1 Nonlinear Analysis. Real World Applications 1 Communications on Pure and Applied Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Proceedings of the Steklov Institute of Mathematics 1 Translations of Mathematical Monographs 1 Matapli 1 International Journal of Differential Equations 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Eurasian Mathematical Journal
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### Fields

 105 Partial differential equations (35-XX) 29 Fluid mechanics (76-XX) 25 Mechanics of deformable solids (74-XX) 5 Operator theory (47-XX) 4 History and biography (01-XX) 2 Approximations and expansions (41-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

100 Publications have been cited 669 times in 265 Documents Cited by Year
Homogenization. Methods and applications. Transl. from the Russian by Tamara Rozhkovskaya. Zbl 1128.35002
Chechkin, G. A.; Piatnitski, A. L.; Shamaev, A. S.
2007
The boundary-value problem in domains with very rapidly oscillating boundary. Zbl 0938.35049
Chechkin, Gregory A.; Friedman, Avner; Piatnitski, Andrey L.
1999
Averaging of boundary value problems with a singular perturbation of the boundary conditions. Zbl 0875.35009
Chechkin, G. A.
1993
Asymptotic behavior of a solution to a boundary value problem in a perforated domain with oscillating boundary. Zbl 0918.35043
Belyaev, A. G.; Pyatnitskij, A. L.; Chechkin, G. A.
1998
Homogenization of boundary-value problem in a locally periodic perforated domain. Zbl 1030.35009
Chechkin, Gregory A.; Piatnitski, Andrey L.
1999
Boundary homogenization in domains with randomly oscillating boundary. Zbl 1219.35021
Amirat, Youcef; Bodart, Olivier; Chechkin, Gregory A.; Piatnitski, Andrey L.
2011
Homogenization in domains randomly perforated along the boundary. Zbl 1180.35073
Chechkin, Gregory A.; Chechkina, Tatiana P.; D’Apice, Ciro; de Maio, Umberto
2009
Asymptotic expansions of the eigenvalues and eigenfunctions of an elliptic operator in a domain with many ”light” concentrated masses near the boundary. The two-dimensional case. Zbl 1102.35035
Chechkin, G. A.
2005
On homogenization of networks and junctions. Zbl 1031.35018
Chechkin, Gregory A.; Jikov, Vasili V.; Lukkassen, Dag; Piatnitski, Andrey L.
2002
Equations of the boundary layer for a modified Navier-Stokes system. Zbl 1291.76108
Samokhin, V. N.; Fadeeva, G. M.; Chechkin, G. A.
2011
Non-periodic boundary homogenization and “light” concentrated masses. Zbl 1082.35021
Chechkin, Gregory A.; Pérez, M. Eugenia; Yablokova, Ekaterina I.
2005
Asymptotics of simple eigenvalues and eigenfunctions for the Laplace operatorl in a domain with an oscillating boundary. Zbl 1210.35032
Amirat, Y.; Chechkin, G. A.; Gadyl’shin, R. R.
2006
Averaging in a perforated domain with an oscillating third boundary condition. Zbl 1030.35008
Belyaev, A. G.; Pyatnitskij, A. L.; Chechkin, G. A.
2001
Asymptotic analysis of a boundary-value problem in a cascade thick junction with a random transmission zone. Zbl 1180.35071
Chechkin, G. A.; Chechkina, T. P.; D’Apice, C.; de Maio, U.; Mel’nyk, T. A.
2009
Asymptotics for eigenelements of Laplacian in domain with oscillating boundary: multiple eigenvalues. Zbl 1210.35052
Amirat, Youcef; Chechkin, Gregory A.; Gadyl’shin, Rustem R.
2007
A boundary value problem for the Laplacian with rapidly changing type of boundary conditions in a multidimensional domain. Zbl 0939.35048
Gadyl’shin, R. R.; Chechkin, G. A.
1999
Averaging operators with boundary conditions of fine-scaled structure. Zbl 0970.35019
Belyaev, A. Yu.; Chechkin, G. A.
1999
On asymptotics of solutions and eigenvalues of the boundary value problem with rapidly alternating boundary conditions for the system of elasticity. Zbl 0876.35012
Oleinik, Olga A.; Chechkin, Gregory
1996
On homogenization of problems in domains of the “Infusorium” type. Zbl 1284.35046
Chechkin, G. A.; Chechkina, T. P.
2003
Asymptotics of the solution of a Dirichlet spectral problem in a junction with highly oscillating boundary. Zbl 1145.35359
Amirat, Youcef; Chechkin, Gregory A.; Gadyl’shin, Rustem R.
2008
Effective membrane permeability: Estimates and low concentration asymptotics. Zbl 0940.35028
Belyaev, Alexander G.; Chechkin, Gregory A.; Gadyl’shin, Rustem R.
1999
On boundary value problems for a second order elliptic equation with oscillating boundary conditions. Zbl 0825.35038
Chechkin, G. A.
1988
On the vibration of a partially fastened membrane with many ‘light’ concentrated masses on the boundary. Zbl 1177.74182
Chechkin, Gregory A.
2004
Weighted Korn’s inequality for a thin plate with a rough surface. Zbl 1087.74583
Chechkin, G. A.; Pichugina, E. A.
2000
On multiscale homogenization problems in boundary layer theory. Zbl 1250.35024
Amirat, Youcef; Chechkin, Gregory A.; Romanov, Maxim
2012
Singular double porosity model. Zbl 1290.35195
Bourgeat, Alain; Chechkin, Gregory A.; Piatnitski, Andrey L.
2003
On the precise asymptotics of the constant in Friedrich’s inequality for functions vanishing on the part of the boundary with microinhomogeneous structure. Zbl 1144.35357
Chechkin, G. A.; Koroleva, Yu. O.; Persson, L.-E.
2007
Equations of magnetohydrodynamic boundary layer for a modified incompressible viscous medium. boundary layer separation. Zbl 1397.76159
Bulatova, P. P.; Samokhin, V. N.; Chechkin, G. A.
2018
On eigenvibrations of a body with ”light” concentrated masses on a surface. Zbl 1140.74453
Pérez, M. E.; Chechkin, G. A.; Yablokova, E. I.
2002
Asymptotic analysis of boundary-value problems in thick three-dimensional multi-level junctions. Zbl 1184.35035
Mel’nik, T. A.; Chechkin, G. A.
2009
On the Friedrichs inequality in a domain perforated aperiodically along the boundary. Homogenization procedure. Asymptotics for parabolic problems. Zbl 1180.35072
Chechkin, G. A.; Koroleva, Yu. O.; Meidell, A.; Persson, L.-E.
2009
Nematodynamics and random homogenization. Zbl 1349.76017
Chechkin, Gregory A.; Chechkina, Tatiana P.; Ratiu, Tudor S.; Romanov, Maksim S.
2016
Homogenization of a boundary value problem in a thick cascade junction. Zbl 1202.35021
Mel’nik, T. A.; Chechkin, G. A.
2008
Homogenization of 3D thick cascade junction with a random transmission zone periodic in one direction. Zbl 1196.35035
Chechkin, G. A.; Chechkina, T. P.; D’Apice, C.; de Maio, U.; Mel’nyk, T. A.
2010
Asymptotics of eigenelements to spectral problem in thick cascade junction with concentrated masses. Zbl 1254.35168
Chechkin, Gregory A.; Mel’nyk, Taras A.
2012
On boundary value problem with singular inhomogeneity concentrated on the boundary. Zbl 1277.35142
Chechkin, G. A.; Cioranescu, D.; Damlamian, A.; Piatnitski, A. L.
2012
Asymptotics of the solution of the problem of deformation of an arbitrary locally periodic thin plate. Zbl 1167.74480
Akimova, E. A.; Nazarov, S. A.; Chechkin, G. A.
2004
Asymptotics of a spectral-sieve problem. Zbl 1332.35235
Amirat, Youcef; Bodart, Olivier; Chechkin, Gregory A.; Piatnitski, Andrey L.
2016
Equations of boundary layer for a generalized Newtonian medium near a critical point. Zbl 1405.35167
Samokhin, V. N.; Chechkin, G. A.
2018
On the rate of convergence of solutions to the Prandtl equations in a rapidly oscillating magnetic field. Zbl 1183.35222
Romanov, M. S.; Samokhin, V. N.; Chechkin, G. A.
2009
Thin layer of a non-Newtonian fluid flowing on a rough surface and percolating through a perforated obstacle. Zbl 1268.76003
Linkevich, A. Yu.; Ratiu, T. S.; Spiridonov, S. V.; Chechkin, G. A.
2013
Vibration of a thin plate with a “rough” surface. Zbl 1290.35263
Chechkin, G.; Cioranescu, D.
2002
On the asymptotic behaviour of eigenvalues of a boundary-value problem in a planar domain of Steklov sieve type. Zbl 1406.35032
Gadyl’shin, R. R.; Piatnitskii, A. L.; Chechkin, G. A.
2018
The splitting of a multiple eigenvalue in the problem of concentrated masses. Zbl 1086.35009
Chechkin, G. A.
2004
On the convergence of solutions and eigenelements of a boundary value problem in a domain perforated along the boundary. Zbl 1206.35031
Gadyl’shin, R. R.; Koroleva, Yu. O.; Chechkin, G. A.
2010
On the rate of convergence of solutions in domain with periodic multilevel oscillating boundary. Zbl 1205.35020
Chechkin, G. A.; D’Apice, C.; De Maio, U.
2010
S. N. Kruzhkov’s lectures on first-order quasilinear PDEs. Zbl 1184.35114
Chechkin, Gregory A.; Goritsky, Andrey Yu.
2009
On boundary layer of Newtonian fluid, flowing around a rough surface and percolating through a perforated obstacle. Zbl 1249.76138
Linkevitch, A. Yu.; Spiridonov, S. V.; Chechkin, G. A.
2011
On the asymptotics of the spectrum of a boundary value problem with nonperiodic rapidly alternating boundary conditions. Zbl 1065.35107
Chechkin, G. A.; Doronina, E. I.
2001
The weighted Korn inequality: The ”tetris” procedure that serves for an arbitrary periodic plate. Zbl 1090.74614
Akimova, E. A.; Nazarov, S. A.; Chechkin, G. A.
2001
Spatial-skin effect for eigenvibrations of a thick cascade junction with ’heavy’ concentrated masses. Zbl 1282.35037
Chechkin, G. A.; Mel’nyk, T. A.
2014
On the asymptotic behavior of a simple eigenvalue of a boundary value problem in a domain perforated along the boundary. Zbl 1228.35162
Gadyl’shin, R. R.; Koroleva, Yu. O.; Chechkin, G. A.
2011
On the rate of convergence of solutions in domain with random multilevel oscillating boundary. Zbl 1305.35019
Chechkin, G. A.; D’Apice, C.; De Maio, U.; Piatnitski, A. L.
2014
Homogenization of trajectory attractors of Ginzburg-Landau equations with randomly oscillating terms. Zbl 1404.35023
Chechkin, Gregory A.; Chepyzhov, Vladimir V.; Pankratov, Leonid S.
2018
On the Steklov problem in a domain perforated along a part of the boundary. Zbl 1378.35020
Chechkin, Gregory A.; Gadyl’shin, Rustem R.; D’Apice, Ciro; De Maio, Umberto
2017
Asymptotic expansion of eigenelements of the Laplace operator in a domain with a large number of ‘light’ concentrated masses sparsely situated on the boundary. Two-dimensional case. Zbl 1202.35143
Chechkin, G. A.
2009
Convergence theorems for solutions and energy functionals of boundary value problems in thick multilevel junctions of a new type with perturbed Neumann conditions on the boundary of thin rectangles. Zbl 1207.35045
Mel’nik, T. A.; Chechkin, G. A.; Chechkina, T. P.
2009
Asymptotic analysis of boundary-value problems in thick cascade junctions. Zbl 1164.35316
Mel’nyk, T. A.; Chechkin, G. A.
2008
Homogenization theorem for problems in domains of the “infusoria” type with uncoordinated structure. Zbl 1077.35015
Chechkin, G. A.; Chechkina, T. P.
2004
Percolation of the boundary layer of a Newtonian fluid through a perforated obstacle. Zbl 1357.76080
Spiridonov, S. V.; Chechkin, G. A.
2010
Homogenization of the equations of dynamics of nematic liquid crystals with inhomogeneous density. Zbl 1264.82148
Romanov, M. C.; Ratiu, T. S.; Chechkin, G. A.
2012
On the averaging of solutions of a second order elliptic equation with nonperiodic rapidly changing boundary conditions. Zbl 1074.35507
Doronina, E. I.; Chechkin, G. A.
2001
Asymptotics of solutions to boundary layer equations for a generalized Newtonian medium under a close to symmetric external flow. Zbl 1290.76139
Samokhin, V. N.; Fadeeva, G. M.; Chechkin, G. A.
2011
Existence and uniqueness theorems for the two-dimensional Ericksen-Leslie system. Zbl 1346.76010
Chechkin, Gregory A.; Ratiu, Tudor S.; Romanov, Maxim S.; Samokhin, Vyacheslav N.
2016
On boundary-value problems for elliptic equations with rapidly changing type of boundary conditions. Zbl 0830.35029
Oleinik, O. A.; Chechkin, G. A.
1993
The asymptotic expansion of the solution of a boundary-value problem with rapidly alternating type of boundary conditions. Zbl 0926.35028
Chechkin, G. A.
1996
Asymptotic approximation of eigenelements of the Dirichlet problem for the Laplacian in a domain with shoots. Zbl 1200.35020
Amirat, Youcef; Chechkin, Gregory A.; Gadyl’shin, Rustem R.
2010
On boundary-value problems for the Laplacian in bounded domains with micro inhomogeneous structure of the boundaries. Zbl 1116.35010
Chechkin, Gregory A.; Gadyl’shin, Rustem R.
2007
Estimation of solutions of boundary-value problems in domains with concentrated masses located periodically along the boundary: case of light masses. Zbl 1076.35014
Chechkin, G. A.
2004
Perturbation of the Steklov problem on a small part of the boundary. Zbl 1304.35456
Abdullazade, N. N.; Chechkin, G. A.
2014
Homogenization of trajectory attractors of 3D Navier-Stokes system with randomly oscillating force. Zbl 1357.35045
Bekmaganbetov, Kuanysh A.; Chechkin, Gregory A.; Chepyzhov, Vladimir V.; Goritsky, Andrey Yu.
2017
System of boundary layer equations for a rheologically complicated medium: Crocco variables. Zbl 1429.35018
Bulatova, Regina R.; Samokhin, V. N.; Chechkin, G. A.
2019
On eigenvibrations of a body with many concentrated masses located nonperiodically along the boundary. Zbl 1125.74336
Doronina, E. I.; Chechkin, G. A.
2002
Strong convergence of trajectory attractors for reaction-diffusion systems with random rapidly oscillating terms. Zbl 1435.35072
Bekmaganbetov, Kuanysh A.; Chechkin, Gregory A.; Chepyzhov, Vladimir V.
2020
Existence and uniqueness theorems in two-dimensional nematodynamics. Finite speed of propagation. Zbl 1330.82055
Ratiu, T. S.; Romanov, M. S.; Samokhin, V. N.; Chechkin, G. A.
2015
Homogenization of a mixed boundary-value problem for the Laplace operator in the case of an insoluble ‘limit’ problem. Zbl 0836.35013
Belyaev, A. G.; Chechkin, G. A.
1995
Spectral boundary homogenization in domains with oscillating boundaries. Zbl 1204.35035
Amirat, Youcef; Chechkin, Gregory A.; Gadyl’shin, Rustem R.
2010
On the eigenvalue of the Laplacian in a domain perforated along the boundary. Zbl 1205.35171
Gadyl’shin, R. R.; Koroleva, Yu. O.; Chechkin, G. A.
2010
Operator pencil in a domain with concentrated masses. A scalar analog of linear hydrodynamics. Zbl 1183.76706
Chechkin, Gregory
2010
On the Sapondzhyan-Babuška paradox. Zbl 1177.35029
Chechkin, Gregory A.; Lukkassen, Dag; Meidell, Annette
2008
Homogenization of a model spectral problem for the Laplace operator in a domain with many closely located ‘heavy’ and ‘intermediate heavy’ concentrated masses. The case $$1\leq s\leq \infty$$. Zbl 1119.47003
Chechkin, G. A.
2006
Spectral problem in a domain perforated along the boundary. Perturbation of a multiple eigenvalue. Zbl 1301.35071
Gadyl’shin, R. R.; Kozhevnikov, D. V.; Chechkin, G. A.
2014
Plane scalar analog of linear degenerate hydrodynamic problem with nonperiodic microstructure of free surface. Zbl 1321.35156
Chechkin, G. A.; Chechkina, T. P.
2015
Equations of symmetric boundary layer for the Ladyzhenskaya model of a viscous medium in the Crocco variables. Zbl 1472.35287
Bulatova, Regina R.; Samokhin, V. N.; Chechkin, G. A.
2019
A new weighted Friedrichs-type inequality for a perforated domain with a sharp constant. Zbl 1234.35027
Chechkin, G. A.; Koroleva, Yu. O.; Persson, L.-E.; Wall, P.
2011
Weak convergence of attractors of reaction-diffusion systems with randomly oscillating coefficients. Zbl 1411.35043
Bekmaganbetov, Kuanysh A.; Chechkin, Gregory A.; Chepyzhov, Vladimir V.
2019
Vibration of fluids in a Vessel with a net on the surface. Zbl 0892.35124
Chechkin, G. A.
1995
Spectrum of homogenized problem in a circle domain with many concentrated masses. Zbl 1198.35164
Chechkin, Gregory A.
2006
Homogenization of solutions to problems for the Laplace operator in unbounded domains with many concentrated masses on the boundary. Zbl 1134.35303
Chechkin, G. A.
2006
On boundary-value problems for the Laplacian in bounded and in unbounded domains with perforated boundaries. Zbl 1077.35016
Chechkin, Gregory A.; Gadyl’shin, Rustem R.
2005
Homogenization of stratified dilatant fluid. Zbl 1311.76116
Linkevich, A.; Spiridonov, S.; Chechkin, G.
2014
Eigenvibrations of thick cascade junctions with ‘very heavy’ concentrated masses. Zbl 1332.35028
Mel’nyk, T. A.; Chechkin, G. A.
2015
Spectral problem with Steklov condition on a thin perforated interface. Zbl 1341.35093
Gadyl’shin, R. R.; Piatnitski, Andrey L.; Chechkin, G. A.
2016
Vladimir Alexandrovich Kondratiev. July 2, 1935–March 11, 2010. Zbl 1277.01013
Agranovich, M. S.; Astashova, I. V.; Bagirov, L. A.; Vlasov, V. V.; Zhikov, V. V.; Ilyashenko, Yu. S.; Kozlov, V. V.; Kon’kov, A. A; Pokhozhaev, S. I.; Radkevich, E. V.; Rozov, N. Kh.; Sergeev, I. N.; Skubachevskii, A. L.; Chechkin, G. A.; Shamaev, A. S.; Shaposhnikova, T. A.
2013
On weighted Korn’s inequality for a thin nonsymmetric plate. Zbl 1125.74349
Chechkin, G. A.; Pichugina, E. A.
2002
Asymptotic expansions of eigenelements of the Laplace operator in a domain with many ‘light’ concentrated masses closely located on the boundary. Multi-dimensional case. Zbl 1099.35026
Chechkin, G. A.
2005
Existence and uniqueness theorems for the full three-dimensional Ericksen-Leslie system. Zbl 1362.76004
Chechkin, Gregory A.; Ratiu, Tudor S.; Romanov, Maxim S.; Samokhin, Vyacheslav N.
2017
Equations of symmetric MHD-boundary layer of viscous fluid with Ladyzhenskaya rheology law. Zbl 1433.76172
Bulatova, R. R.; Samokhin, V. N.; Chechkin, G. A.
2020
On the boundary layer in the case of viscous fluid flowing around confuser with the Ladyzhenskaya rheological law. Zbl 1433.76046
Samokhin, V. N.; Chechkin, G. A.; Chechkina, T. P.
2020
On an unsteady boundary layer of a viscous rheologically complex fluid. Zbl 1454.35274
Bulatova, R. R.; Samokhin, V. N.; Chechkin, G. A.
2020
Strong convergence of trajectory attractors for reaction-diffusion systems with random rapidly oscillating terms. Zbl 1435.35072
Bekmaganbetov, Kuanysh A.; Chechkin, Gregory A.; Chepyzhov, Vladimir V.
2020
Equations of symmetric MHD-boundary layer of viscous fluid with Ladyzhenskaya rheology law. Zbl 1433.76172
Bulatova, R. R.; Samokhin, V. N.; Chechkin, G. A.
2020
On the boundary layer in the case of viscous fluid flowing around confuser with the Ladyzhenskaya rheological law. Zbl 1433.76046
Samokhin, V. N.; Chechkin, G. A.; Chechkina, T. P.
2020
On an unsteady boundary layer of a viscous rheologically complex fluid. Zbl 1454.35274
Bulatova, R. R.; Samokhin, V. N.; Chechkin, G. A.
2020
System of boundary layer equations for a rheologically complicated medium: Crocco variables. Zbl 1429.35018
Bulatova, Regina R.; Samokhin, V. N.; Chechkin, G. A.
2019
Equations of symmetric boundary layer for the Ladyzhenskaya model of a viscous medium in the Crocco variables. Zbl 1472.35287
Bulatova, Regina R.; Samokhin, V. N.; Chechkin, G. A.
2019
Weak convergence of attractors of reaction-diffusion systems with randomly oscillating coefficients. Zbl 1411.35043
Bekmaganbetov, Kuanysh A.; Chechkin, Gregory A.; Chepyzhov, Vladimir V.
2019
Equations of magnetohydrodynamic boundary layer for a modified incompressible viscous medium. boundary layer separation. Zbl 1397.76159
Bulatova, P. P.; Samokhin, V. N.; Chechkin, G. A.
2018
Equations of boundary layer for a generalized Newtonian medium near a critical point. Zbl 1405.35167
Samokhin, V. N.; Chechkin, G. A.
2018
On the asymptotic behaviour of eigenvalues of a boundary-value problem in a planar domain of Steklov sieve type. Zbl 1406.35032
Gadyl&rsquo;shin, R. R.; Piatnitskii, A. L.; Chechkin, G. A.
2018
Homogenization of trajectory attractors of Ginzburg-Landau equations with randomly oscillating terms. Zbl 1404.35023
Chechkin, Gregory A.; Chepyzhov, Vladimir V.; Pankratov, Leonid S.
2018
On the Steklov problem in a domain perforated along a part of the boundary. Zbl 1378.35020
Chechkin, Gregory A.; Gadyl&rsquo;shin, Rustem R.; D&rsquo;Apice, Ciro; De Maio, Umberto
2017
Homogenization of trajectory attractors of 3D Navier-Stokes system with randomly oscillating force. Zbl 1357.35045
Bekmaganbetov, Kuanysh A.; Chechkin, Gregory A.; Chepyzhov, Vladimir V.; Goritsky, Andrey Yu.
2017
Existence and uniqueness theorems for the full three-dimensional Ericksen-Leslie system. Zbl 1362.76004
Chechkin, Gregory A.; Ratiu, Tudor S.; Romanov, Maxim S.; Samokhin, Vyacheslav N.
2017
Nematodynamics and random homogenization. Zbl 1349.76017
Chechkin, Gregory A.; Chechkina, Tatiana P.; Ratiu, Tudor S.; Romanov, Maksim S.
2016
Asymptotics of a spectral-sieve problem. Zbl 1332.35235
Amirat, Youcef; Bodart, Olivier; Chechkin, Gregory A.; Piatnitski, Andrey L.
2016
Existence and uniqueness theorems for the two-dimensional Ericksen-Leslie system. Zbl 1346.76010
Chechkin, Gregory A.; Ratiu, Tudor S.; Romanov, Maxim S.; Samokhin, Vyacheslav N.
2016
Spectral problem with Steklov condition on a thin perforated interface. Zbl 1341.35093
Gadyl&rsquo;shin, R. R.; Piatnitski, Andrey L.; Chechkin, G. A.
2016
Existence and uniqueness theorems in two-dimensional nematodynamics. Finite speed of propagation. Zbl 1330.82055
Ratiu, T. S.; Romanov, M. S.; Samokhin, V. N.; Chechkin, G. A.
2015
Plane scalar analog of linear degenerate hydrodynamic problem with nonperiodic microstructure of free surface. Zbl 1321.35156
Chechkin, G. A.; Chechkina, T. P.
2015
Eigenvibrations of thick cascade junctions with ‘very heavy’ concentrated masses. Zbl 1332.35028
Mel&rsquo;nyk, T. A.; Chechkin, G. A.
2015
Spatial-skin effect for eigenvibrations of a thick cascade junction with ’heavy’ concentrated masses. Zbl 1282.35037
Chechkin, G. A.; Mel&rsquo;nyk, T. A.
2014
On the rate of convergence of solutions in domain with random multilevel oscillating boundary. Zbl 1305.35019
Chechkin, G. A.; D&rsquo;Apice, C.; De Maio, U.; Piatnitski, A. L.
2014
Perturbation of the Steklov problem on a small part of the boundary. Zbl 1304.35456
Abdullazade, N. N.; Chechkin, G. A.
2014
Spectral problem in a domain perforated along the boundary. Perturbation of a multiple eigenvalue. Zbl 1301.35071
Gadyl&rsquo;shin, R. R.; Kozhevnikov, D. V.; Chechkin, G. A.
2014
Homogenization of stratified dilatant fluid. Zbl 1311.76116
Linkevich, A.; Spiridonov, S.; Chechkin, G.
2014
Thin layer of a non-Newtonian fluid flowing on a rough surface and percolating through a perforated obstacle. Zbl 1268.76003
Linkevich, A. Yu.; Ratiu, T. S.; Spiridonov, S. V.; Chechkin, G. A.
2013
Vladimir Alexandrovich Kondratiev. July 2, 1935–March 11, 2010. Zbl 1277.01013
Agranovich, M. S.; Astashova, I. V.; Bagirov, L. A.; Vlasov, V. V.; Zhikov, V. V.; Ilyashenko, Yu. S.; Kozlov, V. V.; Kon&rsquo;kov, A. A; Pokhozhaev, S. I.; Radkevich, E. V.; Rozov, N. Kh.; Sergeev, I. N.; Skubachevskii, A. L.; Chechkin, G. A.; Shamaev, A. S.; Shaposhnikova, T. A.
2013
On multiscale homogenization problems in boundary layer theory. Zbl 1250.35024
Amirat, Youcef; Chechkin, Gregory A.; Romanov, Maxim
2012
Asymptotics of eigenelements to spectral problem in thick cascade junction with concentrated masses. Zbl 1254.35168
Chechkin, Gregory A.; Mel&rsquo;nyk, Taras A.
2012
On boundary value problem with singular inhomogeneity concentrated on the boundary. Zbl 1277.35142
Chechkin, G. A.; Cioranescu, D.; Damlamian, A.; Piatnitski, A. L.
2012
Homogenization of the equations of dynamics of nematic liquid crystals with inhomogeneous density. Zbl 1264.82148
Romanov, M. C.; Ratiu, T. S.; Chechkin, G. A.
2012
Boundary homogenization in domains with randomly oscillating boundary. Zbl 1219.35021
Amirat, Youcef; Bodart, Olivier; Chechkin, Gregory A.; Piatnitski, Andrey L.
2011
Equations of the boundary layer for a modified Navier-Stokes system. Zbl 1291.76108
Samokhin, V. N.; Fadeeva, G. M.; Chechkin, G. A.
2011
On boundary layer of Newtonian fluid, flowing around a rough surface and percolating through a perforated obstacle. Zbl 1249.76138
Linkevitch, A. Yu.; Spiridonov, S. V.; Chechkin, G. A.
2011
On the asymptotic behavior of a simple eigenvalue of a boundary value problem in a domain perforated along the boundary. Zbl 1228.35162
Gadyl&rsquo;shin, R. R.; Koroleva, Yu. O.; Chechkin, G. A.
2011
Asymptotics of solutions to boundary layer equations for a generalized Newtonian medium under a close to symmetric external flow. Zbl 1290.76139
Samokhin, V. N.; Fadeeva, G. M.; Chechkin, G. A.
2011
A new weighted Friedrichs-type inequality for a perforated domain with a sharp constant. Zbl 1234.35027
Chechkin, G. A.; Koroleva, Yu. O.; Persson, L.-E.; Wall, P.
2011
Homogenization of 3D thick cascade junction with a random transmission zone periodic in one direction. Zbl 1196.35035
Chechkin, G. A.; Chechkina, T. P.; D&rsquo;Apice, C.; de Maio, U.; Mel&rsquo;nyk, T. A.
2010
On the convergence of solutions and eigenelements of a boundary value problem in a domain perforated along the boundary. Zbl 1206.35031
Gadyl&rsquo;shin, R. R.; Koroleva, Yu. O.; Chechkin, G. A.
2010
On the rate of convergence of solutions in domain with periodic multilevel oscillating boundary. Zbl 1205.35020
Chechkin, G. A.; D&rsquo;Apice, C.; De Maio, U.
2010
Percolation of the boundary layer of a Newtonian fluid through a perforated obstacle. Zbl 1357.76080
Spiridonov, S. V.; Chechkin, G. A.
2010
Asymptotic approximation of eigenelements of the Dirichlet problem for the Laplacian in a domain with shoots. Zbl 1200.35020
Amirat, Youcef; Chechkin, Gregory A.; Gadyl&rsquo;shin, Rustem R.
2010
Spectral boundary homogenization in domains with oscillating boundaries. Zbl 1204.35035
Amirat, Youcef; Chechkin, Gregory A.; Gadyl&rsquo;shin, Rustem R.
2010
On the eigenvalue of the Laplacian in a domain perforated along the boundary. Zbl 1205.35171
Gadyl&rsquo;shin, R. R.; Koroleva, Yu. O.; Chechkin, G. A.
2010
Operator pencil in a domain with concentrated masses. A scalar analog of linear hydrodynamics. Zbl 1183.76706
Chechkin, Gregory
2010
Homogenization in domains randomly perforated along the boundary. Zbl 1180.35073
Chechkin, Gregory A.; Chechkina, Tatiana P.; D&rsquo;Apice, Ciro; de Maio, Umberto
2009
Asymptotic analysis of a boundary-value problem in a cascade thick junction with a random transmission zone. Zbl 1180.35071
Chechkin, G. A.; Chechkina, T. P.; D&rsquo;Apice, C.; de Maio, U.; Mel&rsquo;nyk, T. A.
2009
Asymptotic analysis of boundary-value problems in thick three-dimensional multi-level junctions. Zbl 1184.35035
Mel&rsquo;nik, T. A.; Chechkin, G. A.
2009
On the Friedrichs inequality in a domain perforated aperiodically along the boundary. Homogenization procedure. Asymptotics for parabolic problems. Zbl 1180.35072
Chechkin, G. A.; Koroleva, Yu. O.; Meidell, A.; Persson, L.-E.
2009
On the rate of convergence of solutions to the Prandtl equations in a rapidly oscillating magnetic field. Zbl 1183.35222
Romanov, M. S.; Samokhin, V. N.; Chechkin, G. A.
2009
S. N. Kruzhkov’s lectures on first-order quasilinear PDEs. Zbl 1184.35114
Chechkin, Gregory A.; Goritsky, Andrey Yu.
2009
Asymptotic expansion of eigenelements of the Laplace operator in a domain with a large number of ‘light’ concentrated masses sparsely situated on the boundary. Two-dimensional case. Zbl 1202.35143
Chechkin, G. A.
2009
Convergence theorems for solutions and energy functionals of boundary value problems in thick multilevel junctions of a new type with perturbed Neumann conditions on the boundary of thin rectangles. Zbl 1207.35045
Mel&rsquo;nik, T. A.; Chechkin, G. A.; Chechkina, T. P.
2009
Asymptotics of the solution of a Dirichlet spectral problem in a junction with highly oscillating boundary. Zbl 1145.35359
Amirat, Youcef; Chechkin, Gregory A.; Gadyl&rsquo;shin, Rustem R.
2008
Homogenization of a boundary value problem in a thick cascade junction. Zbl 1202.35021
Mel&rsquo;nik, T. A.; Chechkin, G. A.
2008
Asymptotic analysis of boundary-value problems in thick cascade junctions. Zbl 1164.35316
Mel&rsquo;nyk, T. A.; Chechkin, G. A.
2008
On the Sapondzhyan-Babuška paradox. Zbl 1177.35029
Chechkin, Gregory A.; Lukkassen, Dag; Meidell, Annette
2008
Homogenization. Methods and applications. Transl. from the Russian by Tamara Rozhkovskaya. Zbl 1128.35002
Chechkin, G. A.; Piatnitski, A. L.; Shamaev, A. S.
2007
Asymptotics for eigenelements of Laplacian in domain with oscillating boundary: multiple eigenvalues. Zbl 1210.35052
Amirat, Youcef; Chechkin, Gregory A.; Gadyl&rsquo;shin, Rustem R.
2007
On the precise asymptotics of the constant in Friedrich’s inequality for functions vanishing on the part of the boundary with microinhomogeneous structure. Zbl 1144.35357
Chechkin, G. A.; Koroleva, Yu. O.; Persson, L.-E.
2007
On boundary-value problems for the Laplacian in bounded domains with micro inhomogeneous structure of the boundaries. Zbl 1116.35010
Chechkin, Gregory A.; Gadyl&rsquo;shin, Rustem R.
2007
Asymptotics of simple eigenvalues and eigenfunctions for the Laplace operatorl in a domain with an oscillating boundary. Zbl 1210.35032
Amirat, Y.; Chechkin, G. A.; Gadyl&rsquo;shin, R. R.
2006
Homogenization of a model spectral problem for the Laplace operator in a domain with many closely located ‘heavy’ and ‘intermediate heavy’ concentrated masses. The case $$1\leq s\leq \infty$$. Zbl 1119.47003
Chechkin, G. A.
2006
Spectrum of homogenized problem in a circle domain with many concentrated masses. Zbl 1198.35164
Chechkin, Gregory A.
2006
Homogenization of solutions to problems for the Laplace operator in unbounded domains with many concentrated masses on the boundary. Zbl 1134.35303
Chechkin, G. A.
2006
Asymptotic expansions of the eigenvalues and eigenfunctions of an elliptic operator in a domain with many ”light” concentrated masses near the boundary. The two-dimensional case. Zbl 1102.35035
Chechkin, G. A.
2005
Non-periodic boundary homogenization and “light” concentrated masses. Zbl 1082.35021
Chechkin, Gregory A.; Pérez, M. Eugenia; Yablokova, Ekaterina I.
2005
On boundary-value problems for the Laplacian in bounded and in unbounded domains with perforated boundaries. Zbl 1077.35016
Chechkin, Gregory A.; Gadyl&rsquo;shin, Rustem R.
2005
Asymptotic expansions of eigenelements of the Laplace operator in a domain with many ‘light’ concentrated masses closely located on the boundary. Multi-dimensional case. Zbl 1099.35026
Chechkin, G. A.
2005
On the vibration of a partially fastened membrane with many ‘light’ concentrated masses on the boundary. Zbl 1177.74182
Chechkin, Gregory A.
2004
Asymptotics of the solution of the problem of deformation of an arbitrary locally periodic thin plate. Zbl 1167.74480
Akimova, E. A.; Nazarov, S. A.; Chechkin, G. A.
2004
The splitting of a multiple eigenvalue in the problem of concentrated masses. Zbl 1086.35009
Chechkin, G. A.
2004
Homogenization theorem for problems in domains of the “infusoria” type with uncoordinated structure. Zbl 1077.35015
Chechkin, G. A.; Chechkina, T. P.
2004
Estimation of solutions of boundary-value problems in domains with concentrated masses located periodically along the boundary: case of light masses. Zbl 1076.35014
Chechkin, G. A.
2004
On homogenization of problems in domains of the “Infusorium” type. Zbl 1284.35046
Chechkin, G. A.; Chechkina, T. P.
2003
Singular double porosity model. Zbl 1290.35195
Bourgeat, Alain; Chechkin, Gregory A.; Piatnitski, Andrey L.
2003
On homogenization of networks and junctions. Zbl 1031.35018
Chechkin, Gregory A.; Jikov, Vasili V.; Lukkassen, Dag; Piatnitski, Andrey L.
2002
On eigenvibrations of a body with ”light” concentrated masses on a surface. Zbl 1140.74453
Pérez, M. E.; Chechkin, G. A.; Yablokova, E. I.
2002
Vibration of a thin plate with a “rough” surface. Zbl 1290.35263
Chechkin, G.; Cioranescu, D.
2002
On eigenvibrations of a body with many concentrated masses located nonperiodically along the boundary. Zbl 1125.74336
Doronina, E. I.; Chechkin, G. A.
2002
On weighted Korn’s inequality for a thin nonsymmetric plate. Zbl 1125.74349
Chechkin, G. A.; Pichugina, E. A.
2002
Averaging in a perforated domain with an oscillating third boundary condition. Zbl 1030.35008
Belyaev, A. G.; Pyatnitskij, A. L.; Chechkin, G. A.
2001
On the asymptotics of the spectrum of a boundary value problem with nonperiodic rapidly alternating boundary conditions. Zbl 1065.35107
Chechkin, G. A.; Doronina, E. I.
2001
The weighted Korn inequality: The ”tetris” procedure that serves for an arbitrary periodic plate. Zbl 1090.74614
Akimova, E. A.; Nazarov, S. A.; Chechkin, G. A.
2001
On the averaging of solutions of a second order elliptic equation with nonperiodic rapidly changing boundary conditions. Zbl 1074.35507
Doronina, E. I.; Chechkin, G. A.
2001
Weighted Korn’s inequality for a thin plate with a rough surface. Zbl 1087.74583
Chechkin, G. A.; Pichugina, E. A.
2000
The boundary-value problem in domains with very rapidly oscillating boundary. Zbl 0938.35049
Chechkin, Gregory A.; Friedman, Avner; Piatnitski, Andrey L.
1999
Homogenization of boundary-value problem in a locally periodic perforated domain. Zbl 1030.35009
Chechkin, Gregory A.; Piatnitski, Andrey L.
1999
A boundary value problem for the Laplacian with rapidly changing type of boundary conditions in a multidimensional domain. Zbl 0939.35048
Gadyl&rsquo;shin, R. R.; Chechkin, G. A.
1999
Averaging operators with boundary conditions of fine-scaled structure. Zbl 0970.35019
Belyaev, A. Yu.; Chechkin, G. A.
1999
Effective membrane permeability: Estimates and low concentration asymptotics. Zbl 0940.35028
Belyaev, Alexander G.; Chechkin, Gregory A.; Gadyl&rsquo;shin, Rustem R.
1999
Asymptotic behavior of a solution to a boundary value problem in a perforated domain with oscillating boundary. Zbl 0918.35043
Belyaev, A. G.; Pyatnitskij, A. L.; Chechkin, G. A.
1998
On asymptotics of solutions and eigenvalues of the boundary value problem with rapidly alternating boundary conditions for the system of elasticity. Zbl 0876.35012
Oleinik, Olga A.; Chechkin, Gregory
1996
The asymptotic expansion of the solution of a boundary-value problem with rapidly alternating type of boundary conditions. Zbl 0926.35028
Chechkin, G. A.
1996
Homogenization of a mixed boundary-value problem for the Laplace operator in the case of an insoluble ‘limit’ problem. Zbl 0836.35013
Belyaev, A. G.; Chechkin, G. A.
1995
Vibration of fluids in a Vessel with a net on the surface. Zbl 0892.35124
Chechkin, G. A.
1995
Averaging of boundary value problems with a singular perturbation of the boundary conditions. Zbl 0875.35009
Chechkin, G. A.
1993
On boundary-value problems for elliptic equations with rapidly changing type of boundary conditions. Zbl 0830.35029
Oleinik, O. A.; Chechkin, G. A.
1993
On boundary value problems for a second order elliptic equation with oscillating boundary conditions. Zbl 0825.35038
Chechkin, G. A.
1988
all top 5

### Cited by 294 Authors

 44 Journal of Mathematical Sciences (New York) 15 Applicable Analysis 12 Doklady Mathematics 8 Journal of Mathematical Analysis and Applications 7 SIAM Journal on Applied Mathematics 6 Mathematical Methods in the Applied Sciences 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Archive for Rational Mechanics and Analysis 5 Journal of Differential Equations 5 Differential Equations 5 Communications on Pure and Applied Analysis 5 Multiscale Modeling & Simulation 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Journal of Computational and Applied Mathematics 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 SIAM Journal on Mathematical Analysis 4 Nonlinear Analysis. Real World Applications 4 Discrete and Continuous Dynamical Systems. Series B 3 Mathematical Notes 3 Transactions of the Moscow Mathematical Society 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 St. Petersburg Mathematical Journal 3 Journal of Inequalities and Applications 3 Networks and Heterogeneous Media 2 Journal of Computational Physics 2 Journal of Mathematical Physics 2 Chaos, Solitons and Fractals 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Quarterly of Applied Mathematics 2 Asymptotic Analysis 2 European Journal of Applied Mathematics 2 Journal of Elasticity 2 Russian Journal of Mathematical Physics 2 Analysis and Applications (Singapore) 2 Proceedings of the Steklov Institute of Mathematics 2 Nonlinear Oscillations 2 International Journal of Differential Equations 2 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Acta Mechanica 1 Journal of Applied Mathematics and Mechanics 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Ukrainian Mathematical Journal 1 Mathematics of Computation 1 Theoretical and Computational Fluid Dynamics 1 Reviews in Mathematical Physics 1 Applied Mathematics and Optimization 1 BIT 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematische Nachrichten 1 Mechanics Research Communications 1 SIAM Journal on Numerical Analysis 1 Siberian Mathematical Journal 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Computational Mechanics 1 Applied Mathematics Letters 1 Journal of the American Mathematical Society 1 Computational Mathematics and Mathematical Physics 1 Communications in Partial Differential Equations 1 Stochastic Processes and their Applications 1 Potential Analysis 1 SIAM Journal on Scientific Computing 1 Calculus of Variations and Partial Differential Equations 1 Bulletin des Sciences Mathématiques 1 Buletinul Academiei de Științe a Republicii Moldova. Matematica 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Mathematics and Mechanics of Solids 1 Computing and Visualization in Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Vietnam Journal of Mathematics 1 Optimization Methods & Software 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Revista Matemática Complutense 1 Journal of Mathematical Fluid Mechanics 1 LMS Journal of Computation and Mathematics 1 Acta Mathematica Sinica. English Series 1 Journal of Dynamical and Control Systems 1 Communications in Contemporary Mathematics 1 Annales Henri Poincaré 1 Journal of Evolution Equations 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mediterranean Journal of Mathematics 1 Boundary Value Problems 1 Complex Variables and Elliptic Equations 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Calculus of Variations 1 International Journal of Biomathematics 1 Differential Equations and Applications 1 Advances in Mathematical Physics 1 Journal of Control Science and Engineering 1 Eurasian Mathematical Journal 1 Numerical Algebra, Control and Optimization ...and 5 more Serials