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1

Attractors for Second-Order Evolution Equations with a Nonlinear Damping

Igor Chueshov, Irena Lasiecka

Journal:

Journal of Dynamics and Differential Equations

Year:

2004

Language:

english

File:

PDF, 281 KB

english, 2004

2

Long-time behavior of solutions to a class of stochastic parabolic equations with homogeneous white noise: Stratonovitch's case

Igor D. Chueshov, Pierre A. Vuillermot

Journal:

Probability Theory and Related Fields

Year:

1998

Language:

english

File:

PDF, 574 KB

english, 1998

3

Stability and Capsizing of Ships in Random Sea – a Survey

Ludwig Arnold, Igor Chueshov, Gunter Ochs

Journal:

Nonlinear Dynamics

Year:

2004

Language:

english

File:

PDF, 998 KB

english, 2004

4

Invariance and monotonicity for stochastic delay differential equations

Chueshov, Igor, Scheutzow, Michael

Journal:

Discrete and Continuous Dynamical Systems - Series B

Year:

2013

Language:

english

File:

PDF, 465 KB

english, 2013

5

Stochastic Two-Dimensional Hydrodynamical Systems: Wong-Zakai Approximation and Support Theorem

Chueshov, Igor, Millet, Annie

Journal:

Stochastic Analysis and Applications

Year:

2011

Language:

english

File:

PDF, 355 KB

english, 2011

6

Stochastic 3D Navier–Stokes equations in a thin domain and its α -approximation

Igor Chueshov, Sergei Kuksin

Journal:

Physica D: Nonlinear Phenomena

Year:

2008

Language:

english

File:

PDF, 447 KB

english, 2008

7

Lyapunov exponents and stability for nonlinear SPDE's driven by finite-dimensional Wiener processes

Benjamin Berge, Igor D. Chueshov, Pierre A. Vuillermot

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1999

File:

PDF, 456 KB

1999

8

Determining functionals for random partial differential equations

Chueshov Igor, Duan Jinqiao, Schmalfuss Björn

Journal:

Nonlinear Differential Equations and Applications NoDEA

Year:

2003

Language:

english

File:

PDF, 259 KB

english, 2003

9

Random Kick-Forced 3D Navier–Stokes Equations in a Thin Domain

Igor Chueshov, Sergei Kuksin

Journal:

Archive for Rational Mechanics and Analysis

Year:

2008

Language:

english

File:

PDF, 329 KB

english, 2008

10

Order-Preserving Skew-Product Flows and Nonautonomous Parabolic Systems

Journal:

Acta Applicandae Mathematicae

Year:

2001

Language:

english

File:

PDF, 160 KB

english, 2001

11

Long-time dynamics of Kirchhoff wave models with strong nonlinear damping

Journal:

Journal of Differential Equations

Year:

2012

Language:

english

File:

PDF, 363 KB

english, 2012

12

Long-time behavior of solutions to a class of quasilinear parabolic equations with random coefficients

Igor D. Chueshov, Pierre-A. Vuillermot

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

1998

Language:

english

File:

PDF, 2.10 MB

english, 1998

13

Qualitative behavior of a class of stochastic parabolic PDEs with dynamical boundary conditions

Schmalfuss, Björn, Chueshov, Igor

Journal:

Discrete and Continuous Dynamical Systems

Year:

2007

Language:

english

File:

PDF, 316 KB

english, 2007

14

Synchronization of a Stochastic Reaction‐Diffusion System on a Thin Two‐Layer Domain

Caraballo, Tomás, Chueshov, Igor D., Kloeden, Peter E.

Journal:

SIAM Journal on Mathematical Analysis

Year:

2007

Language:

english

File:

PDF, 247 KB

english, 2007

15

Unsteady interaction of a viscous fluid with an elastic shell modeled by full von Karman equations

Igor Chueshov, Iryna Ryzhkova

Journal:

Journal of Differential Equations

Year:

2013

Language:

english

File:

PDF, 387 KB

english, 2013

16

ON THE ATTRACTOR FOR A SEMILINEAR WAVE EQUATION WITH CRITICAL EXPONENT AND NONLINEAR BOUNDARY DISSIPATION

Chueshov, Igor, Eller, Matthias, Lasiecka, Irena

Journal:

Communications in Partial Differential Equations

Year:

2002

Language:

english

File:

PDF, 558 KB

english, 2002

17

Finite Dimensionality of the Attractor for a Semilinear Wave Equation with Nonlinear Boundary Dissipation

Chueshov, Igor, Eller, Matthias, Lasiecka, Irena

Journal:

Communications in Partial Differential Equations

Year:

2005

Language:

english

File:

PDF, 290 KB

english, 2005

18

Long-term dynamics of semilinear wave equation with nonlinear localized interior damping and a source term of critical exponent

Toundykov, Daniel, Lasiecka, Irena, Chueshov, Igor

Journal:

Discrete and Continuous Dynamical Systems

Year:

2007

Language:

english

File:

PDF, 63 KB

english, 2007

19

Convergence of solutions of von Karman evolution equations to equilibria

Journal:

Applicable Analysis

Year:

2012

Language:

english

File:

PDF, 195 KB

english, 2012

20

Order-preserving random dynamical systems: equilibria, attractors, applications

Arnold, Ludwig, Chueshov, Igor

Journal:

Dynamical Systems / An International Journal

Year:

1998

Language:

english

File:

PDF, 893 KB

english, 1998

21

Long-time behavior of solutions to a class of stochastic parabolic equations with homogeneous white noise: itô's case

Chueshov, Igor D., Vuillermot, Pierre A.

Journal:

Stochastic Analysis and Applications

Year:

2000

Language:

english

File:

PDF, 1.29 MB

english, 2000

22

[Universitext] Dynamics of Quasi-Stable Dissipative Systems ||

Year:

2015

Language:

english

File:

PDF, 4.19 MB

english, 2015

23

Averaging of Attractors and Inertial Manifolds for Parabolic PDE With Random Coefficients

Chueshov, Igor D., Schmalfuß, Björn

Journal:

Advanced Nonlinear Studies

Year:

2005

Language:

english

File:

PDF, 862 KB

english, 2005

24

[Lecture Notes in Mathematics] Monotone Random Systems Theory and Applications Volume 1779 || 1. General Facts about Random Dynamical Systems

Year:

2002

Language:

english

File:

PDF, 379 KB

english, 2002

25

[Lecture Notes in Mathematics] Monotone Random Systems Theory and Applications Volume 1779 || 4. Sublinear Random Dynamical Systems

Year:

2002

Language:

english

File:

PDF, 279 KB

english, 2002

26

The problem on interaction of von Karman plate with subsonic flow of gas

Anne Boutet de Monvel, Igor Chueshov

Journal:

Mathematical Methods in the Applied Sciences

Year:

1999

Language:

english

File:

PDF, 115 KB

english, 1999

27

A global attractor for a fluid–plate interaction model accounting only for longitudinal deformations of the plate

Igor D. Chueshov

Journal:

Mathematical Methods in the Applied Sciences

Year:

2011

Language:

english

File:

PDF, 217 KB

english, 2011

28

Uniqueness Theorem for Weak Solutions of von Karman Evolution Equations

Anne Boutet de Monvel, Igor Chueshov

Journal:

Journal of Mathematical Analysis and Applications

Year:

1998

Language:

english

File:

PDF, 154 KB

english, 1998

29

Global attractors for von Karman evolutions with a nonlinear boundary dissipation

Igor Chueshov, Irena Lasiecka

Journal:

Journal of Differential Equations

Year:

2004

Language:

english

File:

PDF, 388 KB

english, 2004

30

Interface boundary value problem for the Navier–Stokes equations in thin two-layer domains

Igor D. Chueshov, Geneviève Raugel, Andrey M. Rekalo

Journal:

Journal of Differential Equations

Year:

2005

Language:

english

File:

PDF, 466 KB

english, 2005

31

Long-time dynamics of von Karman semi-flows with non-linear boundary/interior damping

Igor Chueshov, Irena Lasiecka

Journal:

Journal of Differential Equations

Year:

2007

Language:

english

File:

PDF, 344 KB

english, 2007

32

Global unique solvability of 3D MHD equations in a thin periodic domain

Journal:

Journal of Mathematical Analysis and Applications

Year:

2008

Language:

english

File:

PDF, 203 KB

english, 2008

33

On the behavior of solutions to certain parabolic SPDE's driven by wiener processes

Benjamin Bergé, Igor D. Chueshov, Pierre-A. Vuillermot

Journal:

Stochastic Processes and their Applications

Year:

2001

Language:

english

File:

PDF, 229 KB

english, 2001

34

Homogenization of attractors for semilinear parabolic equations in domains with spherical traps

Alain Bourgeat, Igor Chueshov, Leonid Pankratov

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1999

File:

PDF, 457 KB

1999

35

On the large-time dynamics of a class of parabolic equations subjected to homogeneous white noise: Itô's case

Igor D. Chueshov, Pierre-A. Vuillermot

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1998

File:

PDF, 487 KB

1998

36

A reduction principle for coupled nonlinear parabolic-hyperbolic PDE

Journal:

Journal of Evolution Equations

Year:

2004

Language:

english

File:

PDF, 183 KB

english, 2004

37

Global Attractors for Mindlin–Timoshenko Plates and for Their Kirchhoff Limits

Igor Chueshov, Irena Lasiecka

Journal:

Milan Journal of Mathematics

Year:

2006

Language:

english

File:

PDF, 240 KB

english, 2006

38

Inertial Manifolds for von Karman Plate Equations

Igor Chueshov, Irena Lasiecka

Journal:

Applied Mathematics & Optimization

Year:

2002

Language:

english

File:

PDF, 204 KB

english, 2002

39

Attractors and Long Time Behavior of von Karman Thermoelastic Plates

Igor Chueshov, Irena Lasiecka

Journal:

Applied Mathematics & Optimization

Year:

2008

Language:

english

File:

PDF, 832 KB

english, 2008

40

Stochastic 2D Hydrodynamical Type Systems: Well Posedness and Large Deviations

Igor Chueshov, Annie Millet

Journal:

Applied Mathematics & Optimization

Year:

2010

Language:

english

File:

PDF, 854 KB

english, 2010

41

On Dimension and Metric Properties of Trajectory Attractors

Igor Chueshov, Stefan Siegmund

Journal:

Journal of Dynamics and Differential Equations

Year:

2005

Language:

english

File:

PDF, 181 KB

english, 2005

42

Global Attractor for a Wave Equation with Nonlinear Localized Boundary Damping and a Source Term of Critical Exponent

Igor Chueshov, Irena Lasiecka, Daniel Toundykov

Journal:

Journal of Dynamics and Differential Equations

Year:

2009

Language:

english

File:

PDF, 581 KB

english, 2009

43

Plate models with state-dependent damping coefficient and their quasi-static limits

Igor Chueshov, Stanislav Kolbasin

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2010

Language:

english

File:

PDF, 538 KB

english, 2010

44

A Limit Set Trichotomy for Order-Preserving Random Systems

Ludwig Arnold, Igor Chueshov

Journal:

Year:

2001

Language:

english

File:

PDF, 118 KB

english, 2001

45

Evolution semigroups in supersonic flow-plate interactions

Igor Chueshov, Irena Lasiecka, Justin T. Webster

Journal:

Journal of Differential Equations

Year:

2013

Language:

english

File:

PDF, 405 KB

english, 2013

46

Quantum Zakharov model in a bounded domain

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Year:

2013

Language:

english

File:

PDF, 392 KB

english, 2013

47

Dynamics of a nonlinear elastic plate interacting with a linearized compressible viscous fluid

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2014

Language:

english

File:

PDF, 483 KB

english, 2014

48

On Global Attractor for 2D Kirchhoff-Boussinesq Model with Supercritical Nonlinearity

Chueshov, Igor, Lasiecka, Irena

Journal:

Communications in Partial Differential Equations

Year:

2011

Language:

english

File:

PDF, 270 KB

english, 2011

49

Attractors for Delayed, Nonrotational von Karman Plates with Applications to Flow-Structure Interactions Without any Damping

Chueshov, Igor, Lasiecka, Irena, Webster, Justin T.

Journal:

Communications in Partial Differential Equations

Year:

2014

Language:

english

File:

PDF, 279 KB

english, 2014

50

Cooperative random and stochastic differential equations

Chueshov, Igor, Arnold, Ludwig

Journal:

Discrete and Continuous Dynamical Systems

Year:

2000

Language:

english

File:

PDF, 310 KB

english, 2000