# zbMATH — the first resource for mathematics

## Chueshov, Igor’ Dmitrievich

Compute Distance To:
 Author ID: chueshov.igor-d Published as: Chueshov, I.; Chueshov, I. D.; Chueshov, Igor; Chueshov, Igor D. External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
 Documents Indexed: 170 Publications since 1976, including 7 Books Biographic References: 5 Publications
all top 5

#### Co-Authors

 73 single-authored 25 Lasiecka, Irena 9 Schmalfuß, Björn 9 Vuillermot, Pierre-A. 7 Rezunenko, Oleksandr V”yacheslavovych 5 Arnold, Ludwig 5 Boutet de Monvel, Louis 5 Ryzhkova, Iryna 4 Caraballo Garrido, Tomás 4 Scheutzow, Michael K. R. 4 Webster, Justin T. 3 Eller, Matthias M. 3 Kloeden, Peter Eris 3 Pankratov, Leonid S. 3 Rekalo, Andrey M. 2 Bergé, Benjamin 2 Boutet de Monvel, Anne Marie 2 Bucci, Francesca 2 Duan, Jinqiao 2 Fastovska, Tamara 2 Girya, T. V. 2 Kolbasin, Stanislav 2 Kuksin, Sergeĭ B. 2 Millet, Annie 2 Ochs, Gunter 2 Real Anguas, José 2 Shcherbina, Aleksey S. 2 Siegmund, Stefan 2 Toundykov, Daniel 2 Yang, Meihua 1 Bernier-Kazantsev, Christine 1 Borisenko, Aleksandr Andreevich 1 Bourgeat, Alain P. 1 Craig, Walter 1 Dowell, Earl H. 1 Eliasson, L. Hakan 1 Favorov, Sergei Yur’evich 1 Gandel’, Yuriy Vladimirovich 1 Gordevskiĭ, Vyacheslav Dmitrievich 1 Kalantarov, Varga K. 1 Kappeler, Thomas 1 Khruslov, Eugene Yakovlevich 1 Kokarev, Gerasim 1 Langa, Jose’ Antonio 1 Marín-Rubio, Pedro 1 Patsegon, N. F. 1 Piatnitski, Andrey L. 1 Polat, Mustafa 1 Raugel, Geneviève 1 Rutkas, Anatoliĭ Georgievich 1 Shcherbina, V. A. 1 Shirikyan, Armen R. 1 Sklyar, Grigory Mikhailovitch 1 Skorik, V. A. 1 Vlasenko, Larisa Andreevna 1 Wayne, Clarence Eugene
all top 5

#### Serials

 6 Journal of Differential Equations 6 Teoriya Funktsiĭ, Funktsional’nyĭ Analiz i ikh Prilozheniya 6 Discrete and Continuous Dynamical Systems 5 Communications in Partial Differential Equations 5 Journal of Dynamics and Differential Equations 5 Matematicheskaya Fizika, Analiz, Geometriya 5 Discrete and Continuous Dynamical Systems. Series B 5 Communications on Pure and Applied Analysis 4 Mathematical Methods in the Applied Sciences 4 Applied Mathematics and Optimization 4 Journal of Soviet Mathematics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Mathematics of the USSR, Sbornik 4 Comptes Rendus de l’Académie des Sciences. Série I 4 Sbornik: Mathematics 3 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 3 Journal of Mathematical Analysis and Applications 3 Mathematical Notes 3 Russian Mathematical Surveys 3 Teoreticheskaya i Matematicheskaya Fizika 3 Theoretical and Mathematical Physics 3 Stochastic Analysis and Applications 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 3 Evolution Equations and Control Theory 2 Applicable Analysis 2 Ukrainian Mathematical Journal 2 Functional Analysis and its Applications 2 Funktsional’nyĭ Analiz i ego Prilozheniya 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Differential and Integral Equations 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Journal of Abstract Differential Equations and Applications (JADEA) 2 Nonlinear Analysis. Theory, Methods & Applications 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Matematicheskie Zametki 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Memoirs of the American Mathematical Society 1 Selecta Mathematica Sovietica 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Probability Theory and Related Fields 1 Dynamics and Stability of Systems 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Stochastic Processes and their Applications 1 Matematicheskiĭ Sbornik 1 Stochastics and Stochastics Reports 1 Dopovidi Akademiï Nauk Ukraïni 1 Random Operators and Stochastic Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Izvestiya: Mathematics 1 Nonlinear Dynamics 1 Positivity 1 Visnyk Kharkivs’kogo Universytetu. Seriya Matematyka, Prykladna Matematyka i Mekhanika 1 Journal of Evolution Equations 1 Dynamical Systems 1 Advanced Nonlinear Studies 1 Stochastics and Dynamics 1 Milan Journal of Mathematics 1 Dynamics of Partial Differential Equations 1 Journal of Mathematical Physics, Analysis, Geometry 1 Applied Mathematical Sciences 1 Lecture Notes in Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal of Biomathematics and Biostatistics 1 Universitext 1 Springer Monographs in Mathematics
all top 5

#### Fields

 118 Partial differential equations (35-XX) 68 Dynamical systems and ergodic theory (37-XX) 54 Mechanics of deformable solids (74-XX) 41 Probability theory and stochastic processes (60-XX) 22 Ordinary differential equations (34-XX) 22 Fluid mechanics (76-XX) 12 Operator theory (47-XX) 7 Mechanics of particles and systems (70-XX) 6 Systems theory; control (93-XX) 5 Measure and integration (28-XX) 5 Quantum theory (81-XX) 4 Functional analysis (46-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Geophysics (86-XX) 2 History and biography (01-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

142 Publications have been cited 2,250 times in 1,125 Documents Cited by Year
Monotone random systems theory and applications. Zbl 1023.37030
Chueshov, Igor
2002
Long-time behavior of second order evolution equations with nonlinear damping. Zbl 1151.37059
Chueshov, Igor; Lasiecka, Irena
2008
Von Karman evolution equations. Well-posedness and long-time dynamics. Zbl 1298.35001
Chueshov, Igor; Lasiecka, Irena
2010
Introduction to the theory of infinite-dimensional dissipative systems. Transl. from the Russian by Constantin I. Chueshov, edited by Maryna B. Khorolska. Zbl 1100.37047
Chueshov, I. D.
2002
Attractors for second-order evolution equations with a nonlinear damping. Zbl 1072.37054
Chueshov, Igor; Lasiecka, Irena
2004
Introduction to the theory of infinite-dimensional dissipative systems. Zbl 1100.37046
Chueshov, I. D.
1999
On the attractor for a semilinear wave equation with critical exponent and nonlinear boundary dissipation. Zbl 1021.35020
Chueshov, Igor; Eller, Matthias; Lasiecka, Irena
2002
Stochastic 2D hydrodynamical type systems: well posedness and large deviations. Zbl 1196.49019
Chueshov, Igor; Millet, Annie
2010
Pullback attractors for stochastic heat equations in materials with memory. Zbl 1152.60044
Caraballo, T.; Real, J.; Chueshov, I. D.
2008
On the structure of attractors and invariant measures for a class of monotone random systems. Zbl 1061.37032
Chueshov, Igor; Scheutzow, Michael
2004
Long-time dynamics of Kirchhoff wave models with strong nonlinear damping. Zbl 1237.37053
Chueshov, Igor
2012
Dynamics of quasi-stable dissipative systems. Zbl 1362.37001
Chueshov, Igor
2015
Theory of functionals that uniquely determine the asymptotic dynamics of infinite-dimensional dissipative systems. Zbl 0948.34035
Chueshov, I. D.
1998
Long-time dynamics of von Karmán semi-flows with nonlinear boundary/interior damping. Zbl 1116.35017
Chueshov, Igor; Lasiecka, Irena
2007
Global attractors for von Karman evolutions with a nonlinear boundary dissipation. Zbl 1041.37038
Chueshov, Igor; Lasiecka, Irena
2004
Order-preserving random dynamical systems: Equilibria, attractors, applications. Zbl 0938.37031
Arnold, Ludwig; Chueshov, Igor
1998
Existence, uniqueness of weak solutions and global attractors for a class of nonlinear 2D Kirchhoff-Boussinesq models. Zbl 1220.35014
Chueshov, Igor; Lasiecka, Irena
2006
Synchronization of a stochastic reaction-diffusion system on a thin two-layer domain. Zbl 1125.37058
Caraballo, Tomás; Chueshov, Igor D.; Kloeden, Peter E.
2007
Inertial manifolds and forms for stochastically perturbed retarded semilinear parabolic equations. Zbl 0990.37041
Chueshov, I. D.; Scheutzow, M.
2001
Strong solutions and the attractor of the von Kármán equations. Zbl 0725.35057
Chueshov, I. D.
1991
Long-time dynamics of a semilinear wave equation with nonlinear interior/boundary damping and sources of critical exponents. Zbl 1130.35014
Chueshov, Igor; Lasiecka, Irena
2007
Long-time behaviour of strong solutions of retarded nonlinear P. D. E. s. Zbl 0891.35159
Boutet de Monvel, L.; Chueshov, I. D.; Rezounenko, A. V.
1997
Inertial manifolds and stationary measures for stochastically perturbed dissipative dynamical systems. Zbl 0851.60036
Girya, T. V.; Chueshov, I. D.
1995
Global attractors for a class of retarded quasilinear partial differential equations. Zbl 0845.35129
Chueshov, Igor; Rezounenko, Alexander
1995
Inertial manifolds for retarded semilinear parabolic equations. Zbl 0954.34064
Boutet de Monvel, L.; Chueshov, I. D.; Rezounenko, A. V.
1998
Global attractors for a class of Kirchhoff wave models with a structural nonlinear damping. Zbl 1216.37026
Chueshov, Igor
2010
Long-term dynamics of semilinear wave equation with nonlinear localized interior damping and a source term of critical exponent. Zbl 1151.35009
Chueshov, Igor; Lasiecka, Irena; Toundykov, Daniel
2008
Attractors for delayed, nonrotational von Karman plates with applications to flow-structure interactions without any damping. Zbl 1299.74053
Chueshov, Igor; Lasiecka, Irena; Webster, Justin T.
2014
Evolution semigroups in supersonic flow-plate interactions. Zbl 1326.35025
Chueshov, Igor; Lasiecka, Irena; Webster, Justin T.
2013
Random kick-forced 3D Navier-Stokes equations in a thin domain. Zbl 1133.76015
Chueshov, Igor; Kuksin, Sergei
2008
Finite dimensionality of the attractor for a semilinear wave equation with nonlinear boundary dissipation. Zbl 1073.35169
Chueshov, Igor; Eller, Matthias; Lasiecka, Irena
2004
A global attractor for a fluid-plate interaction model. Zbl 1267.35040
Chueshov, Igor; Ryzhkova, Iryna
2013
Long-time dynamics of a coupled system of nonlinear wave and thermoelastic plate equations. Zbl 1160.37032
Bucci, Francesca; Chueshov, Igor
2008
Global attractors for non-linear problems of mathematical physics. Zbl 0805.58042
Chueshov, I. D.
1993
Unsteady interaction of a viscous fluid with an elastic shell modeled by full von Kármán equations. Zbl 1263.74022
Chueshov, Igor; Ryzhkova, Iryna
2013
Stochastic 3D Navier-Stokes equations in a thin domain and its $$\alpha$$-approximation. Zbl 1143.76422
Chueshov, Igor; Kuksin, Sergei
2008
Global attractors for Mindlin-Timoshenko plates and for their Kirchhoff limits. Zbl 1150.35079
Lasiecka, Irena; Chueshov, Igor
2006
Existence of invariant manifolds for coupled parabolic and hyperbolic stochastic partial differential equations. Zbl 1071.35130
Caraballo, Tomás; Chueshov, Igor; Langa, José A.
2005
Parabolic stochastic partial differential equations with dynamical boundary conditions. Zbl 1150.60032
Chueshov, Igor; Schmalfuss, Björn
2004
Approximate inertial manifolds of exponential order for semilinear parabolic equations subjected to additive white noise. Zbl 0840.60054
Chueshov, I. D.
1995
On global attractor for 2D Kirchhoff-Boussinesq model with supercritical nonlinearity. Zbl 1217.35034
Chueshov, Igor; Lasiecka, Irena
2011
Global attractor for a wave equation with nonlinear localized boundary damping and a source term of critical exponent. Zbl 1173.35025
Chueshov, Igor; Lasiecka, Irena; Toundykov, Daniel
2009
Attractors and long-time behavior of von Kármán thermoelastic plates. Zbl 1173.74023
Chueshov, Igor; Lasiecka, Irena
2008
Qualitative behavior of a class of stochastic parabolic PDEs with dynamical boundary conditions. Zbl 1126.37050
Chueshov, Igor; Schmalfuss, Björn
2007
Existence and asymptotic behaviour for stochastic heat equations with multiplicative noise in materials with memory. Zbl 1125.60057
Caraballo, T.; Chueshov, I. D.; Marín-Rubio, P.; Real, J.
2007
On a certain system of equations with delay, occurring in aeroelasticity. Zbl 0783.73046
Chueshov, I. D.
1990
Long-time dynamics in plate models with strong nonlinear damping. Zbl 1268.37088
Chueshov, Igor; Kolbasin, Stanislav
2012
Long-time behavior of solutions to a class of stochastic parabolic equations with homogeneous white noise: Stratonovitch’s case. Zbl 0914.35021
Chueshov, Igor D.; Vuillermot, Pierre A.
1998
Flow-plate interactions: well-posedness and long-time behavior. Zbl 1304.35114
Chueshov, Igor; Lasiecka, Irena; Webster, Justin
2014
Dynamics of a nonlinear elastic plate interacting with a linearized compressible viscous fluid. Zbl 1457.35035
Chueshov, Igor
2014
Generation of a semigroup and hidden regularity in nonlinear subsonic flow-structure interactions with absorbing boundary conditions. Zbl 1330.35315
Chueshov, Igor; Lasiecka, Irena
2012
A global attractor for a fluid-plate interaction model accounting only for longitudinal deformations of the plate. Zbl 1230.35084
Chueshov, Igor D.
2011
Master-slave synchronization and invariant manifolds for coupled stochastic systems. Zbl 1314.34116
Chueshov, Igor; Schmalfuß, Björn
2010
Interface boundary value problem for the Navier-Stokes equations in thin two-layer domains. Zbl 1078.35084
Chueshov, Igor D.; Raugel, Geneviéve; Rekalo, Andrey M.
2005
Inertial manifolds for von Karman plate equations. Zbl 1076.37069
Chueshov, Igor; Lasiecka, Irena
2002
Long-time behavior of solutions to a class of stochastic parabolic equations with homogeneous white noise: Itô’s case. Zbl 0968.60058
Chueshov, Igor D.; Vuillermot, Pierre A.
2000
Well-posedness and long time behavior for a class of fluid-plate interaction models. Zbl 1266.74017
Chueshov, Igor; Ryzhkova, Iryna
2013
Stochastic two-dimensional hydrodynamical systems: Wong-Zakai approximation and support theorem. Zbl 1229.60078
Chueshov, Igor; Millet, Annie
2011
Stability and capsizing of ships in random sea – a survey. Zbl 1090.70014
Arnold, Ludwig; Chueshov, Igor; Ochs, Gunter
2004
Gevrey regularity of global attractor for generalized Benjamin-Bona-Mahony equation. Zbl 1082.35042
Chueshov, Igor; Polat, Mustafa; Siegmund, Stefan
2004
The problem on interaction of von Kármán plate with subsonic flow of gas. Zbl 0932.74021
Boutet de Monvel, Anne; Chueshov, Igor
1999
Homogenization of attractors for semilinear parabolic equations on manifolds with complicated microstructure. Zbl 0936.35024
Boutet de Monvel, L.; Chueshov, I. D.; Khruslov, E. Ya.
1997
Dynamics of second order in time evolution equations with state-dependent delay. Zbl 1322.35155
Chueshov, Igor; Rezounenko, Alexander
2015
Finite-dimensional global attractors for parabolic nonlinear equations with state-dependent delay. Zbl 1325.35253
Chueshov, Igor; Rezounenko, Alexander V.
2015
On the interaction of an elastic wall with a Poiseuille-type flow. Zbl 1276.35128
Chueshov, I.; Ryzhkova, I.
2013
Long time dynamics of von Karman evolutions with thermal effects. Zbl 1171.35336
Chueshov, Igor; Lasiecka, Irena
2007
Global attractor for a composite system of nonlinear wave and plate equations. Zbl 1220.35172
Bucci, Francesca; Chueshov, Igor; Lasiecka, Irena
2007
On the behavior of solutions to certain parabolic SPDE’s driven by Wiener processes. Zbl 1047.60062
Bergé, Benjamin; Chueshov, Igor D.; Vuillermot, Pierre-A.
2001
The finiteness of determining degrees of freedom for the quasi-geostrophic multi-layer ocean model. Zbl 0996.86002
Bernier-Kazantsev, Ch.; Chueshov, I. D.
2000
Homogenization of attractors of nonlinear hyperbolic equations with asymptotically degenerate coefficients. Zbl 0940.35029
Pankratov, L. S.; Chueshov, I. D.
1999
Uniqueness theorem for weak solutions of von Karman evolution equations. Zbl 0913.35090
Boutet de Monvel, Anne; Chueshov, Igor
1998
Cooperative random and stochastic differential equations. Zbl 1017.37026
Arnold, Ludwig; Chueshov, Igor
2001
Oscillations of von Kármán’s plate in a potential flow of gas. Zbl 0948.74017
Boutet de Monvel, L.; Chueshov, I. D.
1999
Non-linear oscillations of a plate in a flow of gas. Zbl 0853.73052
Boutet de Monvel, Louis; Chueshov, Igor
1996
Nonlinear elastic plate in a flow of gas: recent results and conjectures. Zbl 1354.35148
Chueshov, Igor; Dowell, Earl H.; Lasiecka, Irena; Webster, Justin T.
2016
A squeezing property and its applications to a description of long time behaviour in the three-dimensional viscous primitive equations. Zbl 1297.35179
Chueshov, Igor
2014
Plate models with state-dependent damping coefficient and their quasi-static limits. Zbl 1372.74055
Chueshov, Igor; Kolbasin, Stanislav
2010
Invariant manifolds and nonlinear master-slave synchronization in coupled systems. Zbl 1124.37048
Chueshov, Igor
2007
A reduction principle for coupled nonlinear parabolic-hyperbolic PDE. Zbl 1073.37088
Chueshov, Igor
2004
The global attractor of a contact parabolic problem with a thin two-layer domain. Zbl 1114.35032
Rekalo, A. M.; Chueshov, I. D.
2004
Non-random invariant sets for some systems of parabolic stochastic partial differential equations. Zbl 1065.60076
Chueshov, I. D.; Vuillermot, P. A.
2004
Homogénéisation des attracteurs d’une équation parabolique semi-linéaire dans un domaine avec “pièges” sphériques. Zbl 0938.35028
Bourgeat, Alain; Chueshov, Igor; Pankratov, Leonid
1999
Long-time behavior of solutions to a class of quasilinear parabolic equations with random coefficients. Zbl 0930.60046
Chueshov, Igor D.; Vuillermot, Pierre-A.
1998
Interaction of an elastic plate with a linearized inviscid incompressible fluid. Zbl 1305.74029
Chueshov, Igor
2014
On 2D Zakharov system in a bounded domain. Zbl 1212.35361
Chueshov, Igor D.; Shcherbina, Aleksey S.
2005
Probabilistic dynamics of two-layer geophysical flows. Zbl 1038.60054
Chueshov, Igor; Duan, Jinqiao; Schmalfuss, Björn
2001
Inertial manifolds and forms for semilinear parabolic equations subjected to additive white noise. Zbl 0831.58022
Chueshov, I. D.; Girya, T. V.
1995
Finite dimensionality of the attractor in some problems of nonlinear shell theory. Zbl 0647.73007
Chueshov, I. D.
1987
On interaction of circular cylindrical shells with a Poiseuille type flow. Zbl 1351.74024
Chueshov, Igor; Fastovska, Tamara
2016
Order-preserving skew-product flows and nonautonomous parabolic systems. Zbl 1121.37320
Chueshov, Igor
2001
A limit set trichotomy for order-preserving random systems. Zbl 0997.34044
Arnold, Ludwig; Chueshov, Igor
2001
Upper semicontinuity of attractors of semilinear parabolic equations with asymptotically degenerating coefficients. Zbl 1052.35509
Chueshov, I. D.; Pankratov, L. S.
1999
On the finiteness of the number of determining elements for von Karman evolution equations. Zbl 0903.58032
Chueshov, I. D.
1997
Finite dimensionality of an attractor in some problems of nonlinear shell theory. Zbl 0677.73016
Chueshov, I. D.
1988
Invariance and monotonicity for stochastic delay differential equations. Zbl 1316.34081
Chueshov, Igor; Scheutzow, Michael
2013
Averaging of attractors and inertial manifolds for parabolic PDE with random coefficients. Zbl 1092.37051
Chueshov, Igor D.; Schmalfuß, Björn
2005
Continuity properties of inertial manifolds for stochastic retarded semilinear parabolic equations. Zbl 1093.60038
Chueshov, Igor; Scheutzow, Michael; Schmalfuß, Björn
2005
Attractors and their structure for semilinear wave equations with nonlinear boundary dissipation. Zbl 1065.35067
Chueshov, Igor; Eller, Matthias; Lasiecka, Irena
2004
Determining functionals for random partial differential equations. Zbl 1041.60053
Chueshov, Igor; Duan, Jinqiao; Schmalfuss, Björn
2003
Gevrey regularity of random attractors for stochastic reaction-diffusion equations. Zbl 0959.60045
Chueshov, Igor D.
2000
Long term dynamics of second order-in-time stochastic evolution equations with state-dependent delay. Zbl 1395.60070
Chueshov, Igor; Kloeden, Peter E.; Yang, Meihua
2018
Nonlinear elastic plate in a flow of gas: recent results and conjectures. Zbl 1354.35148
Chueshov, Igor; Dowell, Earl H.; Lasiecka, Irena; Webster, Justin T.
2016
On interaction of circular cylindrical shells with a Poiseuille type flow. Zbl 1351.74024
Chueshov, Igor; Fastovska, Tamara
2016
Remark on an elastic plate interacting with a gas in a semi-infinite tube: periodic solutions. Zbl 1351.74023
Chueshov, Igor
2016
Synchronization in coupled stochastic sine-Gordon wave model. Zbl 1352.37187
Chueshov, Igor; Kloeden, Peter E.; Yang, Meihua
2016
Synchronization in coupled second order in time infinite-dimensional models. Zbl 1351.37260
Chueshov, Igor
2016
Dynamics of quasi-stable dissipative systems. Zbl 1362.37001
Chueshov, Igor
2015
Dynamics of second order in time evolution equations with state-dependent delay. Zbl 1322.35155
Chueshov, Igor; Rezounenko, Alexander
2015
Finite-dimensional global attractors for parabolic nonlinear equations with state-dependent delay. Zbl 1325.35253
Chueshov, Igor; Rezounenko, Alexander V.
2015
Stochastic dynamics in a fluid-plate interaction model with the only longitudinal deformations of the plate. Zbl 1339.37086
Chueshov, Igor; Schmalfuß, Björn
2015
Attractors for delayed, nonrotational von Karman plates with applications to flow-structure interactions without any damping. Zbl 1299.74053
Chueshov, Igor; Lasiecka, Irena; Webster, Justin T.
2014
Flow-plate interactions: well-posedness and long-time behavior. Zbl 1304.35114
Chueshov, Igor; Lasiecka, Irena; Webster, Justin
2014
Dynamics of a nonlinear elastic plate interacting with a linearized compressible viscous fluid. Zbl 1457.35035
Chueshov, Igor
2014
A squeezing property and its applications to a description of long time behaviour in the three-dimensional viscous primitive equations. Zbl 1297.35179
Chueshov, Igor
2014
Interaction of an elastic plate with a linearized inviscid incompressible fluid. Zbl 1305.74029
Chueshov, Igor
2014
Evolution semigroups in supersonic flow-plate interactions. Zbl 1326.35025
Chueshov, Igor; Lasiecka, Irena; Webster, Justin T.
2013
A global attractor for a fluid-plate interaction model. Zbl 1267.35040
Chueshov, Igor; Ryzhkova, Iryna
2013
Unsteady interaction of a viscous fluid with an elastic shell modeled by full von Kármán equations. Zbl 1263.74022
Chueshov, Igor; Ryzhkova, Iryna
2013
Well-posedness and long time behavior for a class of fluid-plate interaction models. Zbl 1266.74017
Chueshov, Igor; Ryzhkova, Iryna
2013
On the interaction of an elastic wall with a Poiseuille-type flow. Zbl 1276.35128
Chueshov, I.; Ryzhkova, I.
2013
Invariance and monotonicity for stochastic delay differential equations. Zbl 1316.34081
Chueshov, Igor; Scheutzow, Michael
2013
Quantum Zakharov model in a bounded domain. Zbl 1291.35245
Chueshov, Igor
2013
Long-time dynamics of Kirchhoff wave models with strong nonlinear damping. Zbl 1237.37053
Chueshov, Igor
2012
Long-time dynamics in plate models with strong nonlinear damping. Zbl 1268.37088
Chueshov, Igor; Kolbasin, Stanislav
2012
Generation of a semigroup and hidden regularity in nonlinear subsonic flow-structure interactions with absorbing boundary conditions. Zbl 1330.35315
Chueshov, Igor; Lasiecka, Irena
2012
Semi-weak well-posedness and attractors for 2D Schrödinger-Boussinesq equations. Zbl 1282.35320
Chueshov, Igor; Shcherbina, Alexey
2012
Convergence of solutions of von Karman evolution equations to equilibria. Zbl 1253.35177
Chueshov, Igor
2012
On global attractor for 2D Kirchhoff-Boussinesq model with supercritical nonlinearity. Zbl 1217.35034
Chueshov, Igor; Lasiecka, Irena
2011
A global attractor for a fluid-plate interaction model accounting only for longitudinal deformations of the plate. Zbl 1230.35084
Chueshov, Igor D.
2011
Stochastic two-dimensional hydrodynamical systems: Wong-Zakai approximation and support theorem. Zbl 1229.60078
Chueshov, Igor; Millet, Annie
2011
Von Karman evolution equations. Well-posedness and long-time dynamics. Zbl 1298.35001
Chueshov, Igor; Lasiecka, Irena
2010
Stochastic 2D hydrodynamical type systems: well posedness and large deviations. Zbl 1196.49019
Chueshov, Igor; Millet, Annie
2010
Global attractors for a class of Kirchhoff wave models with a structural nonlinear damping. Zbl 1216.37026
Chueshov, Igor
2010
Master-slave synchronization and invariant manifolds for coupled stochastic systems. Zbl 1314.34116
Chueshov, Igor; Schmalfuß, Björn
2010
Plate models with state-dependent damping coefficient and their quasi-static limits. Zbl 1372.74055
Chueshov, Igor; Kolbasin, Stanislav
2010
Global attractor for a wave equation with nonlinear localized boundary damping and a source term of critical exponent. Zbl 1173.35025
Chueshov, Igor; Lasiecka, Irena; Toundykov, Daniel
2009
Long-time behavior of second order evolution equations with nonlinear damping. Zbl 1151.37059
Chueshov, Igor; Lasiecka, Irena
2008
Pullback attractors for stochastic heat equations in materials with memory. Zbl 1152.60044
Caraballo, T.; Real, J.; Chueshov, I. D.
2008
Long-term dynamics of semilinear wave equation with nonlinear localized interior damping and a source term of critical exponent. Zbl 1151.35009
Chueshov, Igor; Lasiecka, Irena; Toundykov, Daniel
2008
Random kick-forced 3D Navier-Stokes equations in a thin domain. Zbl 1133.76015
Chueshov, Igor; Kuksin, Sergei
2008
Long-time dynamics of a coupled system of nonlinear wave and thermoelastic plate equations. Zbl 1160.37032
Bucci, Francesca; Chueshov, Igor
2008
Stochastic 3D Navier-Stokes equations in a thin domain and its $$\alpha$$-approximation. Zbl 1143.76422
Chueshov, Igor; Kuksin, Sergei
2008
Attractors and long-time behavior of von Kármán thermoelastic plates. Zbl 1173.74023
Chueshov, Igor; Lasiecka, Irena
2008
Global unique solvability of 3D MHD equations in a thin periodic domain. Zbl 1149.76055
Chueshov, Igor
2008
Long-time dynamics of von Karmán semi-flows with nonlinear boundary/interior damping. Zbl 1116.35017
Chueshov, Igor; Lasiecka, Irena
2007
Synchronization of a stochastic reaction-diffusion system on a thin two-layer domain. Zbl 1125.37058
Caraballo, Tomás; Chueshov, Igor D.; Kloeden, Peter E.
2007
Long-time dynamics of a semilinear wave equation with nonlinear interior/boundary damping and sources of critical exponents. Zbl 1130.35014
Chueshov, Igor; Lasiecka, Irena
2007
Qualitative behavior of a class of stochastic parabolic PDEs with dynamical boundary conditions. Zbl 1126.37050
Chueshov, Igor; Schmalfuss, Björn
2007
Existence and asymptotic behaviour for stochastic heat equations with multiplicative noise in materials with memory. Zbl 1125.60057
Caraballo, T.; Chueshov, I. D.; Marín-Rubio, P.; Real, J.
2007
Long time dynamics of von Karman evolutions with thermal effects. Zbl 1171.35336
Chueshov, Igor; Lasiecka, Irena
2007
Global attractor for a composite system of nonlinear wave and plate equations. Zbl 1220.35172
Bucci, Francesca; Chueshov, Igor; Lasiecka, Irena
2007
Invariant manifolds and nonlinear master-slave synchronization in coupled systems. Zbl 1124.37048
Chueshov, Igor
2007
Existence, uniqueness of weak solutions and global attractors for a class of nonlinear 2D Kirchhoff-Boussinesq models. Zbl 1220.35014
Chueshov, Igor; Lasiecka, Irena
2006
Global attractors for Mindlin-Timoshenko plates and for their Kirchhoff limits. Zbl 1150.35079
Lasiecka, Irena; Chueshov, Igor
2006
Existence of invariant manifolds for coupled parabolic and hyperbolic stochastic partial differential equations. Zbl 1071.35130
Caraballo, Tomás; Chueshov, Igor; Langa, José A.
2005
Interface boundary value problem for the Navier-Stokes equations in thin two-layer domains. Zbl 1078.35084
Chueshov, Igor D.; Raugel, Geneviéve; Rekalo, Andrey M.
2005
On 2D Zakharov system in a bounded domain. Zbl 1212.35361
Chueshov, Igor D.; Shcherbina, Aleksey S.
2005
Averaging of attractors and inertial manifolds for parabolic PDE with random coefficients. Zbl 1092.37051
Chueshov, Igor D.; Schmalfuß, Björn
2005
Continuity properties of inertial manifolds for stochastic retarded semilinear parabolic equations. Zbl 1093.60038
Chueshov, Igor; Scheutzow, Michael; Schmalfuß, Björn
2005
Long-time dynamics of reaction-diffusion equations on thin two-layer domains. Zbl 1108.35081
Chueshov, I. D.; Rekalo, A. M.
2005
Kolmogorov’s $$\varepsilon$$-entropy for a class of invariant sets and dimension of global attractors for second-order evolution equations with nonlinear damping. Zbl 1176.37024
Chueshov, Igor; Lasiecka, Irena
2005
Random dynamical systems methods in ship stability: a case study. Zbl 1092.34028
Arnold, Ludwig; Chueshov, Igor; Ochs, Gunter
2005
Attractors for second-order evolution equations with a nonlinear damping. Zbl 1072.37054
Chueshov, Igor; Lasiecka, Irena
2004
On the structure of attractors and invariant measures for a class of monotone random systems. Zbl 1061.37032
Chueshov, Igor; Scheutzow, Michael
2004
Global attractors for von Karman evolutions with a nonlinear boundary dissipation. Zbl 1041.37038
Chueshov, Igor; Lasiecka, Irena
2004
Finite dimensionality of the attractor for a semilinear wave equation with nonlinear boundary dissipation. Zbl 1073.35169
Chueshov, Igor; Eller, Matthias; Lasiecka, Irena
2004
Parabolic stochastic partial differential equations with dynamical boundary conditions. Zbl 1150.60032
Chueshov, Igor; Schmalfuss, Björn
2004
Stability and capsizing of ships in random sea – a survey. Zbl 1090.70014
Arnold, Ludwig; Chueshov, Igor; Ochs, Gunter
2004
Gevrey regularity of global attractor for generalized Benjamin-Bona-Mahony equation. Zbl 1082.35042
Chueshov, Igor; Polat, Mustafa; Siegmund, Stefan
2004
A reduction principle for coupled nonlinear parabolic-hyperbolic PDE. Zbl 1073.37088
Chueshov, Igor
2004
The global attractor of a contact parabolic problem with a thin two-layer domain. Zbl 1114.35032
Rekalo, A. M.; Chueshov, I. D.
2004
Non-random invariant sets for some systems of parabolic stochastic partial differential equations. Zbl 1065.60076
Chueshov, I. D.; Vuillermot, P. A.
2004
Attractors and their structure for semilinear wave equations with nonlinear boundary dissipation. Zbl 1065.35067
Chueshov, Igor; Eller, Matthias; Lasiecka, Irena
2004
Determining functionals for random partial differential equations. Zbl 1041.60053
Chueshov, Igor; Duan, Jinqiao; Schmalfuss, Björn
2003
Determining functionals for a class of second order in time evolution equations with applications to von Karman equations. Zbl 1029.35187
Chueshov, Igor; Lasiecka, Irena
2003
Monotone random systems theory and applications. Zbl 1023.37030
Chueshov, Igor
2002
Introduction to the theory of infinite-dimensional dissipative systems. Transl. from the Russian by Constantin I. Chueshov, edited by Maryna B. Khorolska. Zbl 1100.37047
Chueshov, I. D.
2002
On the attractor for a semilinear wave equation with critical exponent and nonlinear boundary dissipation. Zbl 1021.35020
Chueshov, Igor; Eller, Matthias; Lasiecka, Irena
2002
Inertial manifolds for von Karman plate equations. Zbl 1076.37069
Chueshov, Igor; Lasiecka, Irena
2002
Inertial manifolds and forms for stochastically perturbed retarded semilinear parabolic equations. Zbl 0990.37041
Chueshov, I. D.; Scheutzow, M.
2001
On the behavior of solutions to certain parabolic SPDE’s driven by Wiener processes. Zbl 1047.60062
Bergé, Benjamin; Chueshov, Igor D.; Vuillermot, Pierre-A.
2001
Cooperative random and stochastic differential equations. Zbl 1017.37026
Arnold, Ludwig; Chueshov, Igor
2001
Probabilistic dynamics of two-layer geophysical flows. Zbl 1038.60054
Chueshov, Igor; Duan, Jinqiao; Schmalfuss, Björn
2001
Order-preserving skew-product flows and nonautonomous parabolic systems. Zbl 1121.37320
Chueshov, Igor
2001
A limit set trichotomy for order-preserving random systems. Zbl 0997.34044
Arnold, Ludwig; Chueshov, Igor
2001
Determining functionals for nonlinear damped wave equations. Zbl 0995.35007
Chueshov, Igor D.; Kalantarov, Varga K.
2001
Long-time behavior of solutions to a class of stochastic parabolic equations with homogeneous white noise: Itô’s case. Zbl 0968.60058
Chueshov, Igor D.; Vuillermot, Pierre A.
2000
The finiteness of determining degrees of freedom for the quasi-geostrophic multi-layer ocean model. Zbl 0996.86002
Bernier-Kazantsev, Ch.; Chueshov, I. D.
2000
Gevrey regularity of random attractors for stochastic reaction-diffusion equations. Zbl 0959.60045
Chueshov, Igor D.
2000
Analyticity of global attractors and determining nodes for a class of damped nonlinear wave equations. Zbl 0969.35027
Chueshov, I. D.
2000
Introduction to the theory of infinite-dimensional dissipative systems. Zbl 1100.37046
Chueshov, I. D.
1999
The problem on interaction of von Kármán plate with subsonic flow of gas. Zbl 0932.74021
Boutet de Monvel, Anne; Chueshov, Igor
1999
Homogenization of attractors of nonlinear hyperbolic equations with asymptotically degenerate coefficients. Zbl 0940.35029
Pankratov, L. S.; Chueshov, I. D.
1999
Oscillations of von Kármán’s plate in a potential flow of gas. Zbl 0948.74017
Boutet de Monvel, L.; Chueshov, I. D.
1999
Homogénéisation des attracteurs d’une équation parabolique semi-linéaire dans un domaine avec “pièges” sphériques. Zbl 0938.35028
Bourgeat, Alain; Chueshov, Igor; Pankratov, Leonid
1999
Upper semicontinuity of attractors of semilinear parabolic equations with asymptotically degenerating coefficients. Zbl 1052.35509
Chueshov, I. D.; Pankratov, L. S.
1999
Lyapunov exponents and stability for nonlinear SPDE’s driven by finite-dimensional Wiener processes. Zbl 0934.60057
Bergé, Benjamin; Chueshov, Igor D.; Vuillermot, Pierre-A.
1999
On determining functionals for stochastic Navier-Stokes equations. Zbl 0945.35093
Chueshov, Igor D.
1999
Theory of functionals that uniquely determine the asymptotic dynamics of infinite-dimensional dissipative systems. Zbl 0948.34035
Chueshov, I. D.
1998
Order-preserving random dynamical systems: Equilibria, attractors, applications. Zbl 0938.37031
Arnold, Ludwig; Chueshov, Igor
1998
...and 42 more Documents
all top 5

#### Cited by 1,086 Authors

 54 Chueshov, Igor’ Dmitrievich 35 Wang, Bixiang 34 Lasiecka, Irena 32 Yang, Zhijian 30 Zhou, Shengfan 23 Duan, Jinqiao 23 Schmalfuß, Björn 21 Caraballo Garrido, Tomás 21 Kang, Jum-Ran 20 Gu, Anhui 18 Rezunenko, Oleksandr V”yacheslavovych 17 Khanmamedov, Azer Kh. 17 Kloeden, Peter Eris 17 Toundykov, Daniel 17 Zhong, Chengkui 16 Langa, Jose’ Antonio 16 Ma, To Fu 16 Webster, Justin T. 15 Li, Yangrong 15 Obaya, Rafael 14 Lu, Kening 13 Wang, Zhaojuan 12 Zhao, Wenqiang 11 Geredeli, Pelin G. 11 Li, Dingshi 11 Narciso, Vando 11 Park, Jong Yeoul 11 Real Anguas, José 11 Sanz, Ana M. 11 Yang, Meihua 10 Avalos, George 10 Feng, Baowei 10 Garrido-Atienza, María José 10 Jorge da Silva, Marcio Antonio 10 Liu, Wei 10 Liu, Zhiming 10 Park, SunHye 10 Rammaha, Mohammad A. 9 Cavalcanti, Marcelo Moreira 9 Ding, Pengyan 9 Freitas, Mirelson M. 9 Jiang, Jifa 9 Marín-Rubio, Pedro 9 Qin, Yuming 9 Robinson, James Cooper 9 Scheutzow, Michael K. R. 9 Sun, Chunyou 9 Tachim Medjo, Theodore 9 Wang, Wei 9 Yang, Xinguang 8 Li, Fuzhi 8 Shu, Ji 8 Vuillermot, Pierre-A. 8 Wang, Xiaohu 7 Bessaih, Hakima 7 Brzeźniak, Zdzisław 7 Chepyzhov, Vladimir V. 7 Gess, Benjamin 7 Kalantarov, Varga K. 7 Meng, Fengjuan 7 Pata, Vittorino 7 Razafimandimby, Paul André 7 Shen, Wenxian 7 Titi, Edriss Saleh 7 Valero, José 7 Yamazaki, Kazuo 7 Zhai, Jianliang 6 Bociu, Lorena 6 Ding, Xiaoquan 6 Domingos Cavalcanti, Valéria Neves 6 Guo, Boling 6 Khrabustovskyi, Andrii 6 Núñez, Carmen A. 6 Shi, Lin 6 Wang, Ming 6 Wang, Renhai 6 Yang, Lu 5 Aouadi, Moncef 5 Gao, Hongjun 5 Guo, Yanfeng 5 Hoang, Luan Thach 5 Huang, Jianhua 5 Kang, Yong Han 5 Li, Shihu 5 Li, Yanan 5 Liu, Xianming 5 Lu, Yongjin 5 Ma, Qiaozhen 5 Monteiro, Rodrigo Nunes 5 Santos, M. L. O. 5 Wang, Yejuan 5 Xie, Yingchao 5 You, Yuncheng 5 Zhang, Tusheng S. 5 Zhang, Yijin 5 Zhu, Kaixuan 4 Anguiano, María 4 Cheban, David Nikolai 4 Chechkin, Gregory Aleksandrovich 4 Chen, Xiaopeng ...and 986 more Authors
all top 5

#### Cited in 203 Serials

 102 Journal of Differential Equations 80 Journal of Mathematical Analysis and Applications 80 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 63 Discrete and Continuous Dynamical Systems. Series B 39 Journal of Mathematical Physics 39 Discrete and Continuous Dynamical Systems 29 Communications on Pure and Applied Analysis 26 Mathematical Methods in the Applied Sciences 25 Stochastics and Dynamics 23 Nonlinear Analysis. Real World Applications 21 Journal of Dynamics and Differential Equations 19 Applied Mathematics and Computation 19 Applied Mathematics Letters 18 Applicable Analysis 17 Stochastic Analysis and Applications 17 Evolution Equations and Control Theory 15 Applied Mathematics and Optimization 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 10 Journal of Mathematical Sciences (New York) 10 Abstract and Applied Analysis 9 Computers & Mathematics with Applications 9 Stochastic Processes and their Applications 9 Mathematical Problems in Engineering 9 Dynamical Systems 9 Boundary Value Problems 8 Physica D 8 Journal of Difference Equations and Applications 8 Journal of Evolution Equations 8 Science China. Mathematics 7 Ukrainian Mathematical Journal 7 Proceedings of the American Mathematical Society 7 Transactions of the American Mathematical Society 6 Archive for Rational Mechanics and Analysis 6 Communications in Mathematical Physics 6 Mathematical Notes 6 Nonlinearity 6 Nonlinear Dynamics 6 Journal of Applied Analysis and Computation 5 The Annals of Probability 5 Journal of Soviet Mathematics 5 SIAM Journal on Control and Optimization 5 Chinese Annals of Mathematics. Series B 5 Acta Mathematicae Applicatae Sinica. English Series 5 Communications in Partial Differential Equations 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 NoDEA. Nonlinear Differential Equations and Applications 5 Discrete Dynamics in Nature and Society 5 Differential Equations 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Discrete and Continuous Dynamical Systems. Series S 4 Journal of Computational and Applied Mathematics 4 Quarterly of Applied Mathematics 4 Applied Mathematics and Mechanics. (English Edition) 4 Acta Applicandae Mathematicae 4 Probability Theory and Related Fields 4 SIAM Journal on Mathematical Analysis 4 Taiwanese Journal of Mathematics 4 Communications in Nonlinear Science and Numerical Simulation 4 SIAM Journal on Applied Dynamical Systems 4 Advances in Difference Equations 4 Journal of Function Spaces 4 Nonlinear Analysis. Theory, Methods & Applications 4 Open Mathematics 3 Journal of Computational Physics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Annales Polonici Mathematici 3 Journal of Functional Analysis 3 Numerical Methods for Partial Differential Equations 3 Mathematical and Computer Modelling 3 Journal of Nonlinear Science 3 Potential Analysis 3 Electronic Journal of Differential Equations (EJDE) 3 Acta Mathematica Sinica. English Series 3 Central European Journal of Mathematics 3 Stochastic and Partial Differential Equations. Analysis and Computations 2 Bulletin of the Australian Mathematical Society 2 Communications on Pure and Applied Mathematics 2 Israel Journal of Mathematics 2 Journal of Mathematical Biology 2 Journal of Statistical Physics 2 Rocky Mountain Journal of Mathematics 2 Chaos, Solitons and Fractals 2 Acta Mathematica Vietnamica 2 Automatica 2 BIT 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Ergodic Theory and Dynamical Systems 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of Theoretical Probability 2 Asymptotic Analysis 2 MCSS. Mathematics of Control, Signals, and Systems 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Applied Mathematical Modelling 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Cybernetics and Systems Analysis 2 Topological Methods in Nonlinear Analysis 2 Journal of Inequalities and Applications 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Fractional Calculus & Applied Analysis ...and 103 more Serials
all top 5

#### Cited in 43 Fields

 835 Partial differential equations (35-XX) 413 Dynamical systems and ergodic theory (37-XX) 290 Probability theory and stochastic processes (60-XX) 213 Mechanics of deformable solids (74-XX) 133 Fluid mechanics (76-XX) 118 Ordinary differential equations (34-XX) 62 Systems theory; control (93-XX) 41 Operator theory (47-XX) 33 Biology and other natural sciences (92-XX) 30 Numerical analysis (65-XX) 30 Geophysics (86-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 12 Mechanics of particles and systems (70-XX) 11 Measure and integration (28-XX) 10 Difference and functional equations (39-XX) 8 Integral equations (45-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Real functions (26-XX) 6 Classical thermodynamics, heat transfer (80-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 General topology (54-XX) 3 Functional analysis (46-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Approximations and expansions (41-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 2 Operations research, mathematical programming (90-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.