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Chueshov, Igor’ Dmitrievich (b. 1951 d. 2016)

Author ID: chueshov.igor-d Recent zbMATH articles by "Chueshov, Igor’ Dmitrievich"
Published as: Chueshov, Igor; Chueshov, I. D.; Chueshov, Igor D.; Chueshov, I.
External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef
Documents Indexed: 173 Publications since 1976, including 7 Books and 3 Additional arXiv Preprints
Biographic References: 5 Publications
Co-Authors: 54 Co-Authors with 99 Joint Publications
1,749 Co-Co-Authors
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

Publications by Year

Citations contained in zbMATH Open

145 Publications have been cited 3,163 times in 1,622 Documents Cited by Year
Long-time behavior of second order evolution equations with nonlinear damping. Zbl 1151.37059
Chueshov, Igor; Lasiecka, Irena
265
2008
Von Karman evolution equations. Well-posedness and long-time dynamics. Zbl 1298.35001
Chueshov, Igor; Lasiecka, Irena
253
2010
Monotone random systems theory and applications. Zbl 1023.37030
Chueshov, Igor
239
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
135
2002
Stochastic 2D hydrodynamical type systems: well posedness and large deviations. Zbl 1196.49019
Chueshov, Igor; Millet, Annie
130
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.
117
2002
Dynamics of quasi-stable dissipative systems. Zbl 1362.37001
Chueshov, Igor
116
2015
Attractors for second-order evolution equations with a nonlinear damping. Zbl 1072.37054
Chueshov, Igor; Lasiecka, Irena
112
2004
Introduction to the theory of infinite-dimensional dissipative systems. (Vvedenie v teoriyu beskonechnomernykh dissipativnykh sistem.) Zbl 1100.37046
Chueshov, I. D.
96
1999
Long-time dynamics of Kirchhoff wave models with strong nonlinear damping. Zbl 1237.37053
Chueshov, Igor
77
2012
Pullback attractors for stochastic heat equations in materials with memory. Zbl 1152.60044
Caraballo, T.; Real, J.; Chueshov, I. D.
58
2008
On the structure of attractors and invariant measures for a class of monotone random systems. Zbl 1061.37032
Chueshov, Igor; Scheutzow, Michael
49
2004
Synchronization of a stochastic reaction-diffusion system on a thin two-layer domain. Zbl 1125.37058
Caraballo, Tomás; Chueshov, Igor D.; Kloeden, Peter E.
48
2007
Global attractors for von Karman evolutions with a nonlinear boundary dissipation. Zbl 1041.37038
Chueshov, Igor; Lasiecka, Irena
45
2004
Theory of functionals that uniquely determine the asymptotic dynamics of infinite-dimensional dissipative systems. Zbl 0948.34035
Chueshov, I. D.
44
1998
Long-time dynamics of von Karmán semi-flows with nonlinear boundary/interior damping. Zbl 1116.35017
Chueshov, Igor; Lasiecka, Irena
43
2007
Order-preserving random dynamical systems: Equilibria, attractors, applications. Zbl 0938.37031
Arnold, Ludwig; Chueshov, Igor
40
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
40
2006
Inertial manifolds and forms for stochastically perturbed retarded semilinear parabolic equations. Zbl 0990.37041
Chueshov, I. D.; Scheutzow, M.
37
2001
Global attractors for a class of Kirchhoff wave models with a structural nonlinear damping. Zbl 1216.37026
Chueshov, Igor
32
2010
Inertial manifolds for retarded semilinear parabolic equations. Zbl 0954.34064
Boutet de Monvel, L.; Chueshov, I. D.; Rezounenko, A. V.
29
1998
Inertial manifolds and stationary measures for stochastically perturbed dissipative dynamical systems. Zbl 0851.60036
Girya, T. V.; Chueshov, I. D.
28
1995
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
27
2008
Existence of invariant manifolds for coupled parabolic and hyperbolic stochastic partial differential equations. Zbl 1071.35130
Caraballo, Tomás; Chueshov, Igor; Langa, José A.
26
2005
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.
25
2014
Attractors and long-time behavior of von Kármán thermoelastic plates. Zbl 1173.74023
Chueshov, Igor; Lasiecka, Irena
25
2008
Global attractors for Mindlin-Timoshenko plates and for their Kirchhoff limits. Zbl 1150.35079
Lasiecka, Irena; Chueshov, Igor
25
2006
Random kick-forced 3D Navier-Stokes equations in a thin domain. Zbl 1133.76015
Chueshov, Igor; Kuksin, Sergei
24
2008
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
23
2007
Strong solutions and the attractor of the von Kármán equations. Zbl 0725.35057
Chueshov, I. D.
22
1991
Approximate inertial manifolds of exponential order for semilinear parabolic equations subjected to additive white noise. Zbl 0840.60054
Chueshov, I. D.
22
1995
Finite dimensionality of the attractor for a semilinear wave equation with nonlinear boundary dissipation. Zbl 1073.35169
Chueshov, Igor; Eller, Matthias; Lasiecka, Irena
22
2004
Stochastic 3D Navier-Stokes equations in a thin domain and its \(\alpha \)-approximation. Zbl 1143.76422
Chueshov, Igor; Kuksin, Sergei
22
2008
On global attractor for 2D Kirchhoff-Boussinesq model with supercritical nonlinearity. Zbl 1217.35034
Chueshov, Igor; Lasiecka, Irena
22
2011
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.
21
1997
Long-time dynamics in plate models with strong nonlinear damping. Zbl 1268.37088
Chueshov, Igor; Kolbasin, Stanislav
20
2012
Global attractors for a class of retarded quasilinear partial differential equations. Zbl 0845.35129
Chueshov, Igor; Rezounenko, Alexander
19
1995
A global attractor for a fluid-plate interaction model. Zbl 1267.35040
Chueshov, Igor; Ryzhkova, Iryna
19
2013
Long-time dynamics of a coupled system of nonlinear wave and thermoelastic plate equations. Zbl 1160.37032
Bucci, Francesca; Chueshov, Igor
19
2008
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.
18
2007
Evolution semigroups in supersonic flow-plate interactions. Zbl 1326.35025
Chueshov, Igor; Lasiecka, Irena; Webster, Justin T.
18
2013
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
17
2009
Parabolic stochastic partial differential equations with dynamical boundary conditions. Zbl 1150.60032
Chueshov, Igor; Schmalfuss, Björn
17
2004
Unsteady interaction of a viscous fluid with an elastic shell modeled by full von Kármán equations. Zbl 1263.74022
Chueshov, Igor; Ryzhkova, Iryna
17
2013
Flow-plate interactions: well-posedness and long-time behavior. Zbl 1304.35114
Chueshov, Igor; Lasiecka, Irena; Webster, Justin
16
2014
Dynamics of a nonlinear elastic plate interacting with a linearized compressible viscous fluid. Zbl 1457.35035
Chueshov, Igor
16
2014
Qualitative behavior of a class of stochastic parabolic PDEs with dynamical boundary conditions. Zbl 1126.37050
Chueshov, Igor; Schmalfuss, Björn
16
2007
Gevrey regularity of global attractor for generalized Benjamin-Bona-Mahony equation. Zbl 1082.35042
Chueshov, Igor; Polat, Mustafa; Siegmund, Stefan
15
2004
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.
15
2016
On a certain system of equations with delay, occurring in aeroelasticity. Zbl 0783.73046
Chueshov, I. D.
15
1990
Stochastic two-dimensional hydrodynamical systems: Wong-Zakai approximation and support theorem. Zbl 1229.60078
Chueshov, Igor; Millet, Annie
15
2011
Finite-dimensional global attractors for parabolic nonlinear equations with state-dependent delay. Zbl 1325.35253
Chueshov, Igor; Rezounenko, Alexander V.
14
2015
Dynamics of second order in time evolution equations with state-dependent delay. Zbl 1322.35155
Chueshov, Igor; Rezounenko, Alexander
14
2015
Global attractors for non-linear problems of mathematical physics. Zbl 0805.58042
Chueshov, I. D.
14
1993
Inertial manifolds for von Karman plate equations. Zbl 1076.37069
Chueshov, Igor; Lasiecka, Irena
14
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.
12
2000
Uniqueness theorem for weak solutions of von Karman evolution equations. Zbl 0913.35090
Boutet de Monvel, Anne; Chueshov, Igor
12
1998
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
12
2014
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.
12
2005
Generation of a semigroup and hidden regularity in nonlinear subsonic flow-structure interactions with absorbing boundary conditions. Zbl 1330.35315
Chueshov, Igor; Lasiecka, Irena
12
2012
Global attractor for a composite system of nonlinear wave and plate equations. Zbl 1220.35172
Bucci, Francesca; Chueshov, Igor; Lasiecka, Irena
12
2007
The problem on interaction of von Kármán plate with subsonic flow of gas. Zbl 0932.74021
Boutet de Monvel, Anne; Chueshov, Igor
11
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.
11
1997
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.
11
1998
Master-slave synchronization and invariant manifolds for coupled stochastic systems. Zbl 1314.34116
Chueshov, Igor; Schmalfuß, Björn
11
2010
A global attractor for a fluid-plate interaction model accounting only for longitudinal deformations of the plate. Zbl 1230.35084
Chueshov, Igor D.
11
2011
Well-posedness and long time behavior for a class of fluid-plate interaction models. Zbl 1266.74017
Chueshov, Igor; Ryzhkova, Iryna
11
2013
Homogenization of attractors of nonlinear hyperbolic equations with asymptotically degenerate coefficients. Zbl 0940.35029
Pankratov, L. S.; Chueshov, I. D.
10
1999
Interaction of an elastic plate with a linearized inviscid incompressible fluid. Zbl 1305.74029
Chueshov, Igor
10
2014
Stability and capsizing of ships in random sea – a survey. Zbl 1090.70014
Arnold, Ludwig; Chueshov, Igor; Ochs, Gunter
10
2004
A reduction principle for coupled nonlinear parabolic-hyperbolic PDE. Zbl 1073.37088
Chueshov, Igor
10
2004
On the interaction of an elastic wall with a Poiseuille-type flow. Zbl 1276.35128
Chueshov, I.; Ryzhkova, I.
10
2013
Oscillations of von Kármán’s plate in a potential flow of gas. Zbl 0948.74017
Boutet de Monvel, L.; Chueshov, I. D.
9
1999
The finiteness of determining degrees of freedom for the quasi-geostrophic multi-layer ocean model. Zbl 0996.86002
Bernier-Kazantsev, Ch.; Chueshov, I. D.
9
2000
Non-linear oscillations of a plate in a flow of gas. Zbl 0853.73052
Boutet de Monvel, Louis; Chueshov, Igor
9
1996
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.
9
2001
Invariance and monotonicity for stochastic delay differential equations. Zbl 1316.34081
Chueshov, Igor; Scheutzow, Michael
9
2013
Long time dynamics of von Karman evolutions with thermal effects. Zbl 1171.35336
Chueshov, Igor; Lasiecka, Irena
9
2007
Homogénéisation des attracteurs d’une équation parabolique semi-linéaire dans un domaine avec “pièges” sphériques. (Homogenization of attractors for semilinear parabolic equations in domains with spherical traps.) Zbl 0938.35028
Bourgeat, Alain; Chueshov, Igor; Pankratov, Leonid
8
1999
Cooperative random and stochastic differential equations. Zbl 1017.37026
Arnold, Ludwig; Chueshov, Igor
8
2001
Probabilistic dynamics of two-layer geophysical flows. Zbl 1038.60054
Chueshov, Igor; Duan, Jinqiao; Schmalfuss, Björn
8
2001
Non-random invariant sets for some systems of parabolic stochastic partial differential equations. Zbl 1065.60076
Chueshov, I. D.; Vuillermot, P. A.
8
2004
Invariant manifolds and nonlinear master-slave synchronization in coupled systems. Zbl 1124.37048
Chueshov, Igor
8
2007
Gevrey regularity of random attractors for stochastic reaction-diffusion equations. Zbl 0959.60045
Chueshov, Igor D.
7
2000
Order-preserving skew-product flows and nonautonomous parabolic systems. Zbl 1121.37320
Chueshov, Igor
7
2001
The global attractor of a contact parabolic problem with a thin two-layer domain. Zbl 1114.35032
Rekalo, A. M.; Chueshov, I. D.
7
2004
Long-time behavior of solutions to a class of quasilinear parabolic equations with random coefficients. Zbl 0930.60046
Chueshov, Igor D.; Vuillermot, Pierre-A.
7
1998
Inertial manifolds and forms for semilinear parabolic equations subjected to additive white noise. Zbl 0831.58022
Chueshov, I. D.; Girya, T. V.
7
1995
On 2D Zakharov system in a bounded domain. Zbl 1212.35361
Chueshov, Igor D.; Shcherbina, Aleksey S.
7
2005
Plate models with state-dependent damping coefficient and their quasi-static limits. Zbl 1372.74055
Chueshov, Igor; Kolbasin, Stanislav
7
2010
On interaction of circular cylindrical shells with a Poiseuille type flow. Zbl 1351.74024
Chueshov, Igor; Fastovska, Tamara
6
2016
Finite dimensionality of an attractor in some problems of nonlinear shell theory. Zbl 0677.73016
Chueshov, I. D.
6
1988
Upper semicontinuity of attractors of semilinear parabolic equations with asymptotically degenerating coefficients. Zbl 1052.35509
Chueshov, I. D.; Pankratov, L. S.
5
1999
A limit set trichotomy for order-preserving random systems. Zbl 0997.34044
Arnold, Ludwig; Chueshov, Igor
5
2001
Attractors and their structure for semilinear wave equations with nonlinear boundary dissipation. Zbl 1065.35067
Chueshov, Igor; Eller, Matthias; Lasiecka, Irena
5
2004
Finite dimensionality of the attractor in some problems of nonlinear shell theory. Zbl 0647.73007
Chueshov, I. D.
5
1987
On the finiteness of the number of determining elements for von Karman evolution equations. Zbl 0903.58032
Chueshov, I. D.
5
1997
Determining functionals for random partial differential equations. Zbl 1041.60053
Chueshov, Igor; Duan, Jinqiao; Schmalfuss, Björn
5
2003
Continuity properties of inertial manifolds for stochastic retarded semilinear parabolic equations. Zbl 1093.60038
Chueshov, Igor; Scheutzow, Michael; Schmalfuß, Björn
5
2005
Weak limit points of Feynman integral products. Zbl 0403.46030
Chueshov, I. D.
4
1978
Synchronization in infinite-dimensional deterministic and stochastic systems. Zbl 1469.60005
Chueshov, Igor; Schmalfuß, Björn
1
2020
Quasi-stability method in study of asymptotic behavior of dynamical systems. Zbl 1451.37005
Chueshov, Igor; Fastovska, Tamara; Ryzhkova, Iryna
3
2019
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
3
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.
15
2016
On interaction of circular cylindrical shells with a Poiseuille type flow. Zbl 1351.74024
Chueshov, Igor; Fastovska, Tamara
6
2016
Synchronization in coupled stochastic sine-Gordon wave model. Zbl 1352.37187
Chueshov, Igor; Kloeden, Peter E.; Yang, Meihua
4
2016
Synchronization in coupled second order in time infinite-dimensional models. Zbl 1351.37260
Chueshov, Igor
4
2016
Remark on an elastic plate interacting with a gas in a semi-infinite tube: periodic solutions. Zbl 1351.74023
Chueshov, Igor
3
2016
Dynamics of quasi-stable dissipative systems. Zbl 1362.37001
Chueshov, Igor
116
2015
Finite-dimensional global attractors for parabolic nonlinear equations with state-dependent delay. Zbl 1325.35253
Chueshov, Igor; Rezounenko, Alexander V.
14
2015
Dynamics of second order in time evolution equations with state-dependent delay. Zbl 1322.35155
Chueshov, Igor; Rezounenko, Alexander
14
2015
Stochastic dynamics in a fluid-plate interaction model with the only longitudinal deformations of the plate. Zbl 1339.37086
Chueshov, Igor; Schmalfuß, Björn
2
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.
25
2014
Flow-plate interactions: well-posedness and long-time behavior. Zbl 1304.35114
Chueshov, Igor; Lasiecka, Irena; Webster, Justin
16
2014
Dynamics of a nonlinear elastic plate interacting with a linearized compressible viscous fluid. Zbl 1457.35035
Chueshov, Igor
16
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
12
2014
Interaction of an elastic plate with a linearized inviscid incompressible fluid. Zbl 1305.74029
Chueshov, Igor
10
2014
A global attractor for a fluid-plate interaction model. Zbl 1267.35040
Chueshov, Igor; Ryzhkova, Iryna
19
2013
Evolution semigroups in supersonic flow-plate interactions. Zbl 1326.35025
Chueshov, Igor; Lasiecka, Irena; Webster, Justin T.
18
2013
Unsteady interaction of a viscous fluid with an elastic shell modeled by full von Kármán equations. Zbl 1263.74022
Chueshov, Igor; Ryzhkova, Iryna
17
2013
Well-posedness and long time behavior for a class of fluid-plate interaction models. Zbl 1266.74017
Chueshov, Igor; Ryzhkova, Iryna
11
2013
On the interaction of an elastic wall with a Poiseuille-type flow. Zbl 1276.35128
Chueshov, I.; Ryzhkova, I.
10
2013
Invariance and monotonicity for stochastic delay differential equations. Zbl 1316.34081
Chueshov, Igor; Scheutzow, Michael
9
2013
Quantum Zakharov model in a bounded domain. Zbl 1291.35245
Chueshov, Igor
3
2013
Long-time dynamics of Kirchhoff wave models with strong nonlinear damping. Zbl 1237.37053
Chueshov, Igor
77
2012
Long-time dynamics in plate models with strong nonlinear damping. Zbl 1268.37088
Chueshov, Igor; Kolbasin, Stanislav
20
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
12
2012
Semi-weak well-posedness and attractors for 2D Schrödinger-Boussinesq equations. Zbl 1282.35320
Chueshov, Igor; Shcherbina, Alexey
4
2012
Convergence of solutions of von Karman evolution equations to equilibria. Zbl 1253.35177
Chueshov, Igor
2
2012
On global attractor for 2D Kirchhoff-Boussinesq model with supercritical nonlinearity. Zbl 1217.35034
Chueshov, Igor; Lasiecka, Irena
22
2011
Stochastic two-dimensional hydrodynamical systems: Wong-Zakai approximation and support theorem. Zbl 1229.60078
Chueshov, Igor; Millet, Annie
15
2011
A global attractor for a fluid-plate interaction model accounting only for longitudinal deformations of the plate. Zbl 1230.35084
Chueshov, Igor D.
11
2011
Von Karman evolution equations. Well-posedness and long-time dynamics. Zbl 1298.35001
Chueshov, Igor; Lasiecka, Irena
253
2010
Stochastic 2D hydrodynamical type systems: well posedness and large deviations. Zbl 1196.49019
Chueshov, Igor; Millet, Annie
130
2010
Global attractors for a class of Kirchhoff wave models with a structural nonlinear damping. Zbl 1216.37026
Chueshov, Igor
32
2010
Master-slave synchronization and invariant manifolds for coupled stochastic systems. Zbl 1314.34116
Chueshov, Igor; Schmalfuß, Björn
11
2010
Plate models with state-dependent damping coefficient and their quasi-static limits. Zbl 1372.74055
Chueshov, Igor; Kolbasin, Stanislav
7
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
17
2009
Long-time behavior of second order evolution equations with nonlinear damping. Zbl 1151.37059
Chueshov, Igor; Lasiecka, Irena
265
2008
Pullback attractors for stochastic heat equations in materials with memory. Zbl 1152.60044
Caraballo, T.; Real, J.; Chueshov, I. D.
58
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
27
2008
Attractors and long-time behavior of von Kármán thermoelastic plates. Zbl 1173.74023
Chueshov, Igor; Lasiecka, Irena
25
2008
Random kick-forced 3D Navier-Stokes equations in a thin domain. Zbl 1133.76015
Chueshov, Igor; Kuksin, Sergei
24
2008
Stochastic 3D Navier-Stokes equations in a thin domain and its \(\alpha \)-approximation. Zbl 1143.76422
Chueshov, Igor; Kuksin, Sergei
22
2008
Long-time dynamics of a coupled system of nonlinear wave and thermoelastic plate equations. Zbl 1160.37032
Bucci, Francesca; Chueshov, Igor
19
2008
Global unique solvability of 3D MHD equations in a thin periodic domain. Zbl 1149.76055
Chueshov, Igor
4
2008
Synchronization of a stochastic reaction-diffusion system on a thin two-layer domain. Zbl 1125.37058
Caraballo, Tomás; Chueshov, Igor D.; Kloeden, Peter E.
48
2007
Long-time dynamics of von Karmán semi-flows with nonlinear boundary/interior damping. Zbl 1116.35017
Chueshov, Igor; Lasiecka, Irena
43
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
23
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.
18
2007
Qualitative behavior of a class of stochastic parabolic PDEs with dynamical boundary conditions. Zbl 1126.37050
Chueshov, Igor; Schmalfuss, Björn
16
2007
Global attractor for a composite system of nonlinear wave and plate equations. Zbl 1220.35172
Bucci, Francesca; Chueshov, Igor; Lasiecka, Irena
12
2007
Long time dynamics of von Karman evolutions with thermal effects. Zbl 1171.35336
Chueshov, Igor; Lasiecka, Irena
9
2007
Invariant manifolds and nonlinear master-slave synchronization in coupled systems. Zbl 1124.37048
Chueshov, Igor
8
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
40
2006
Global attractors for Mindlin-Timoshenko plates and for their Kirchhoff limits. Zbl 1150.35079
Lasiecka, Irena; Chueshov, Igor
25
2006
Existence of invariant manifolds for coupled parabolic and hyperbolic stochastic partial differential equations. Zbl 1071.35130
Caraballo, Tomás; Chueshov, Igor; Langa, José A.
26
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.
12
2005
On 2D Zakharov system in a bounded domain. Zbl 1212.35361
Chueshov, Igor D.; Shcherbina, Aleksey S.
7
2005
Continuity properties of inertial manifolds for stochastic retarded semilinear parabolic equations. Zbl 1093.60038
Chueshov, Igor; Scheutzow, Michael; Schmalfuß, Björn
5
2005
Averaging of attractors and inertial manifolds for parabolic PDE with random coefficients. Zbl 1092.37051
Chueshov, Igor D.; Schmalfuß, Björn
4
2005
Random dynamical systems methods in ship stability: a case study. Zbl 1092.34028
Arnold, Ludwig; Chueshov, Igor; Ochs, Gunter
4
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
4
2005
Long-time dynamics of reaction-diffusion equations on thin two-layer domains. Zbl 1108.35081
Chueshov, I. D.; Rekalo, A. M.
2
2005
Attractors for second-order evolution equations with a nonlinear damping. Zbl 1072.37054
Chueshov, Igor; Lasiecka, Irena
112
2004
On the structure of attractors and invariant measures for a class of monotone random systems. Zbl 1061.37032
Chueshov, Igor; Scheutzow, Michael
49
2004
Global attractors for von Karman evolutions with a nonlinear boundary dissipation. Zbl 1041.37038
Chueshov, Igor; Lasiecka, Irena
45
2004
Finite dimensionality of the attractor for a semilinear wave equation with nonlinear boundary dissipation. Zbl 1073.35169
Chueshov, Igor; Eller, Matthias; Lasiecka, Irena
22
2004
Parabolic stochastic partial differential equations with dynamical boundary conditions. Zbl 1150.60032
Chueshov, Igor; Schmalfuss, Björn
17
2004
Gevrey regularity of global attractor for generalized Benjamin-Bona-Mahony equation. Zbl 1082.35042
Chueshov, Igor; Polat, Mustafa; Siegmund, Stefan
15
2004
Stability and capsizing of ships in random sea – a survey. Zbl 1090.70014
Arnold, Ludwig; Chueshov, Igor; Ochs, Gunter
10
2004
A reduction principle for coupled nonlinear parabolic-hyperbolic PDE. Zbl 1073.37088
Chueshov, Igor
10
2004
Non-random invariant sets for some systems of parabolic stochastic partial differential equations. Zbl 1065.60076
Chueshov, I. D.; Vuillermot, P. A.
8
2004
The global attractor of a contact parabolic problem with a thin two-layer domain. Zbl 1114.35032
Rekalo, A. M.; Chueshov, I. D.
7
2004
Attractors and their structure for semilinear wave equations with nonlinear boundary dissipation. Zbl 1065.35067
Chueshov, Igor; Eller, Matthias; Lasiecka, Irena
5
2004
Determining functionals for random partial differential equations. Zbl 1041.60053
Chueshov, Igor; Duan, Jinqiao; Schmalfuss, Björn
5
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
3
2003
Monotone random systems theory and applications. Zbl 1023.37030
Chueshov, Igor
239
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
135
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.
117
2002
Inertial manifolds for von Karman plate equations. Zbl 1076.37069
Chueshov, Igor; Lasiecka, Irena
14
2002
Inertial manifolds and forms for stochastically perturbed retarded semilinear parabolic equations. Zbl 0990.37041
Chueshov, I. D.; Scheutzow, M.
37
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.
9
2001
Cooperative random and stochastic differential equations. Zbl 1017.37026
Arnold, Ludwig; Chueshov, Igor
8
2001
Probabilistic dynamics of two-layer geophysical flows. Zbl 1038.60054
Chueshov, Igor; Duan, Jinqiao; Schmalfuss, Björn
8
2001
Order-preserving skew-product flows and nonautonomous parabolic systems. Zbl 1121.37320
Chueshov, Igor
7
2001
A limit set trichotomy for order-preserving random systems. Zbl 0997.34044
Arnold, Ludwig; Chueshov, Igor
5
2001
Determining functionals for nonlinear damped wave equations. Zbl 0995.35007
Chueshov, Igor D.; Kalantarov, Varga K.
3
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.
12
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.
9
2000
Gevrey regularity of random attractors for stochastic reaction-diffusion equations. Zbl 0959.60045
Chueshov, Igor D.
7
2000
Analyticity of global attractors and determining nodes for a class of damped nonlinear wave equations. Zbl 0969.35027
Chueshov, I. D.
1
2000
Introduction to the theory of infinite-dimensional dissipative systems. (Vvedenie v teoriyu beskonechnomernykh dissipativnykh sistem.) Zbl 1100.37046
Chueshov, I. D.
96
1999
The problem on interaction of von Kármán plate with subsonic flow of gas. Zbl 0932.74021
Boutet de Monvel, Anne; Chueshov, Igor
11
1999
Homogenization of attractors of nonlinear hyperbolic equations with asymptotically degenerate coefficients. Zbl 0940.35029
Pankratov, L. S.; Chueshov, I. D.
10
1999
Oscillations of von Kármán’s plate in a potential flow of gas. Zbl 0948.74017
Boutet de Monvel, L.; Chueshov, I. D.
9
1999
Homogénéisation des attracteurs d’une équation parabolique semi-linéaire dans un domaine avec “pièges” sphériques. (Homogenization of attractors for semilinear parabolic equations in domains with spherical traps.) Zbl 0938.35028
Bourgeat, Alain; Chueshov, Igor; Pankratov, Leonid
8
1999
Upper semicontinuity of attractors of semilinear parabolic equations with asymptotically degenerating coefficients. Zbl 1052.35509
Chueshov, I. D.; Pankratov, L. S.
5
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.
3
1999
On determining functionals for stochastic Navier-Stokes equations. Zbl 0945.35093
Chueshov, Igor D.
3
1999
...and 45 more Documents
all top 5

Cited by 1,408 Authors

54 Chueshov, Igor’ Dmitrievich
47 Yang, Zhijian
42 Freitas, Mirelson M.
41 Wang, Bixiang
37 Lasiecka, Irena
30 Ramos, Anderson J. A.
28 Zhou, Shengfan
24 Duan, Jinqiao
24 Zhong, Chengkui
23 Caraballo Garrido, Tomás
23 Schmalfuß, Björn
22 Gu, Anhui
22 Kang, Jum-Ran
21 Liu, Wei
21 Webster, Justin T.
20 Ma, To Fu
19 Aouadi, Moncef
19 Khanmamedov, Azer Kh.
19 Kloeden, Peter Eris
19 Li, Yangrong
19 Rezunenko, Oleksandr V”yacheslavovych
18 Feng, Baowei
18 Obaya, Rafael
17 Lu, Kening
17 Narciso, Vando
17 Santos, Mauro Lima
17 Toundykov, Daniel
16 Jorge da Silva, Marcio Antonio
16 Langa, Jose’ Antonio
16 Mohan, Manil Thankamani
16 Shu, Ji
16 Sun, Chunyou
16 Zhao, Wenqiang
15 Li, Fuzhi
15 Wang, Renhai
15 Yang, Xinguang
14 Cavalcanti, Marcelo Moreira
14 Ding, Pengyan
14 Li, Dingshi
13 Li, Shihu
13 Li, Yanan
13 Liu, Zhiming
13 Park, SunHye
13 Wang, Zhaojuan
13 Yamazaki, Kazuo
12 Geredeli, Pelin Guven
12 Jiang, Jifa
12 Qin, Yuming
12 Rammaha, Mohammad A.
12 Sanz, Ana M.
12 Yang, Meihua
11 Park, Jong Yeoul
10 Avalos, George
10 Domingos Cavalcanti, Valéria Neves
10 Garrido-Atienza, María José
10 Huang, Jianhua
10 Meng, Fengjuan
10 Real Anguas, José
10 Shi, Lin
10 Wang, Xiaohu
10 Zhai, Jianliang
9 Alouini, Brahim
9 Bessaih, Hakima
9 Brzeźniak, Zdzisław
9 Chepyzhov, Vladimir V.
9 Kalantarov, Varga K.
9 Marín-Rubio, Pedro
9 Robinson, James Cooper
9 Scheutzow, Michael K. R.
9 Wang, Wei
9 Yang, Lu
9 Zhu, Kaixuan
8 Cheban, David Nikolai
8 Deugoue, Gabriel
8 dos Santos, Manoel Jeremias
8 Guo, Boling
8 Hong, Wei
8 Khrabustovskyi, Andrii
8 Ma, Qiaozhen
8 Pata, Vittorino
8 Vuillermot, Pierre-A.
8 Xie, Yingchao
8 Xu, Dongmei
8 Yayla, Sema
8 Zelik, Sergey V.
8 Zhang, Jian
7 Bezerra, Flank David Morais
7 Gao, Hongjun
7 Gess, Benjamin
7 Nguyen Thieu Huy
7 Núñez Jiménez, Carmen
7 Raposo, Carlos Alberto
7 Razafimandimby, Paul André
7 Shen, Wenxian
7 Titi, Edriss Saleh
7 Valero, José
7 Xie, Yongqin
7 Zhao, Chunxiang
6 Aliev, Akbar B.
6 Bociu, Lorena
...and 1,308 more Authors
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Cited in 269 Serials

125 Journal of Differential Equations
96 Discrete and Continuous Dynamical Systems. Series B
93 Journal of Mathematical Analysis and Applications
83 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
54 Journal of Mathematical Physics
45 Applied Mathematics and Optimization
42 Discrete and Continuous Dynamical Systems
38 Communications on Pure and Applied Analysis
37 Mathematical Methods in the Applied Sciences
36 Evolution Equations and Control Theory
35 Journal of Dynamics and Differential Equations
33 Stochastics and Dynamics
31 Nonlinear Analysis. Real World Applications
30 Applicable Analysis
24 Applied Mathematics Letters
22 ZAMP. Zeitschrift für angewandte Mathematik und Physik
21 Applied Mathematics and Computation
18 Stochastic Analysis and Applications
16 Boundary Value Problems
14 SIAM Journal on Mathematical Analysis
14 Stochastic Processes and their Applications
14 Journal of Evolution Equations
13 Journal of Mathematical Sciences (New York)
13 Dynamical Systems
12 Asymptotic Analysis
11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
11 Science China. Mathematics
10 Computers & Mathematics with Applications
10 Mathematical Problems in Engineering
10 Abstract and Applied Analysis
10 Discrete and Continuous Dynamical Systems. Series S
9 Nonlinearity
9 Proceedings of the American Mathematical Society
9 NoDEA. Nonlinear Differential Equations and Applications
8 Ukrainian Mathematical Journal
8 Mathematische Nachrichten
8 Physica D
8 Journal of Difference Equations and Applications
8 Stochastics
8 Stochastic and Partial Differential Equations. Analysis and Computations
7 Archive for Rational Mechanics and Analysis
7 Mathematical Notes
7 Transactions of the American Mathematical Society
7 Acta Applicandae Mathematicae
7 Communications in Nonlinear Science and Numerical Simulation
7 Advances in Difference Equations
7 Journal of Applied Analysis and Computation
6 Communications in Mathematical Physics
6 SIAM Journal on Control and Optimization
6 Acta Mathematicae Applicatae Sinica. English Series
6 Nonlinear Dynamics
6 Discrete Dynamics in Nature and Society
6 Journal of Mathematical Fluid Mechanics
6 Journal of Dynamical and Control Systems
6 Differential Equations
6 Acta Mathematica Scientia. Series B. (English Edition)
5 The Annals of Probability
5 Journal of Functional Analysis
5 Journal of Soviet Mathematics
5 Chinese Annals of Mathematics. Series B
5 Communications in Partial Differential Equations
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Journal of Nonlinear Science
5 Potential Analysis
5 Topological Methods in Nonlinear Analysis
5 Electronic Journal of Differential Equations (EJDE)
5 SIAM Journal on Applied Dynamical Systems
5 Open Mathematics
5 AIMS Mathematics
5 Electronic Research Archive
4 Chaos, Solitons and Fractals
4 Annales Polonici Mathematici
4 Journal of Computational and Applied Mathematics
4 Quarterly of Applied Mathematics
4 Applied Mathematics and Mechanics. (English Edition)
4 Probability Theory and Related Fields
4 Taiwanese Journal of Mathematics
4 Fractional Calculus & Applied Analysis
4 Differentsial’nye Uravneniya i Protsessy Upravleniya
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Advances in Nonlinear Analysis
4 Journal of Function Spaces
4 Nonlinear Analysis. Theory, Methods & Applications
3 Journal of Computational Physics
3 Journal of Statistical Physics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Numerical Methods for Partial Differential Equations
3 Journal of Theoretical Probability
3 Mathematical and Computer Modelling
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Applied Mathematical Modelling
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Turkish Journal of Mathematics
3 Random Operators and Stochastic Equations
3 Advances in Differential Equations
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Journal of Inequalities and Applications
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Infinite Dimensional Analysis, Quantum Probability and Related Topics
...and 169 more Serials
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Cited in 46 Fields

1,246 Partial differential equations (35-XX)
597 Dynamical systems and ergodic theory (37-XX)
417 Probability theory and stochastic processes (60-XX)
326 Mechanics of deformable solids (74-XX)
216 Fluid mechanics (76-XX)
158 Ordinary differential equations (34-XX)
89 Systems theory; control (93-XX)
66 Operator theory (47-XX)
46 Geophysics (86-XX)
41 Numerical analysis (65-XX)
40 Biology and other natural sciences (92-XX)
21 Real functions (26-XX)
20 Integral equations (45-XX)
19 Measure and integration (28-XX)
18 Calculus of variations and optimal control; optimization (49-XX)
16 Global analysis, analysis on manifolds (58-XX)
15 Mechanics of particles and systems (70-XX)
13 Difference and functional equations (39-XX)
13 Statistical mechanics, structure of matter (82-XX)
11 Classical thermodynamics, heat transfer (80-XX)
5 Functional analysis (46-XX)
5 Quantum theory (81-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Optics, electromagnetic theory (78-XX)
3 History and biography (01-XX)
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2 General and overarching topics; collections (00-XX)
2 Group theory and generalizations (20-XX)
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1 Topological groups, Lie groups (22-XX)
1 Several complex variables and analytic spaces (32-XX)
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1 Differential geometry (53-XX)
1 Computer science (68-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)

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