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1

KAM for the nonlinear beam equation

Eliasson, L. Hakan, Grébert, Benoît, Kuksin, Sergei B.

Journal:

Geometric And Functional Analysis

Year:

2016

Language:

english

File:

PDF, 1.72 MB

english, 2016

2

Damped-Driven KdV and Effective Equations for Long-Time Behaviour of its Solutions

Sergei B. Kuksin

Journal:

Geometric And Functional Analysis

Year:

2010

Language:

english

File:

PDF, 372 KB

english, 2010

3

A Coupling Approach to Randomly Forced Nonlinear PDE's. II

Sergei Kuksin, Andrey Piatniski, Armen Shirikyan

Journal:

Communications in Mathematical Physics

Year:

2002

Language:

english

File:

PDF, 74 KB

english, 2002

4

Stochastic Dissipative PDE's and Gibbs Measures

Sergei Kuksin, Armen Shirikyan

Journal:

Communications in Mathematical Physics

Year:

2000

Language:

english

File:

PDF, 288 KB

english, 2000

5

KAM theory and the 3D Euler equation

Khesin, Boris, Kuksin, Sergei, Peralta-Salas, Daniel

Journal:

Advances in Mathematics

Year:

2014

Language:

english

File:

PDF, 493 KB

english, 2014

6

On dissipative systems perturbed by bounded random kick-forces

KUKSIN, SERGEI, SHIRIKYAN, ARMEN

Journal:

Ergodic Theory and Dynamical Systems

Year:

2002

Language:

english

File:

PDF, 282 KB

english, 2002

7

[Lecture Notes in Mathematics] Dynamical Systems and Small Divisors Volume 1784 || Perturbations of linear quasi-periodic system

Eliasson, Hakan, Kuksin, Sergei, Marmi, Stefano, Yoccoz, Jean-Christophe

Year:

2002

Language:

english

File:

PDF, 3.89 MB

english, 2002

8

Resonant averaging for small-amplitude solutions of stochastic nonlinear Schrödinger equations

Kuksin, Sergei, Maiocchi, Alberto

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Year:

2018

Language:

english

File:

PDF, 432 KB

english, 2018

9

Mathematics of Two-Dimensional Turbulence || Two-dimensional Navier–Stokes equations

Kuksin, Sergei, Shirikyan, Armen

Year:

2012

Language:

english

File:

PDF, 531 KB

english, 2012

10

Double-periodic solutions of nonlinear Cauchy-Riemann equations

Sergei B. Kuksin

Journal:

Communications on Pure and Applied Mathematics

Year:

1996

Language:

english

File:

PDF, 1.64 MB

english, 1996

11

Khasminskii–Whitham averaging for randomly perturbed KdV equation

Sergei B. Kuksin, Andrey L. Piatnitski

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2008

Language:

english

File:

PDF, 325 KB

english, 2008

12

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

13

Coupling approach to white-forced nonlinear PDEs

Sergei Kuksin, Armen Shirikyan

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2002

Language:

english

File:

PDF, 305 KB

english, 2002

14

Growth and oscillations of solutions of nonlinear Schrödinger equation

Sergei B. Kuksin

Journal:

Communications in Mathematical Physics

Year:

1996

Language:

english

File:

PDF, 697 KB

english, 1996

15

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

16

On Distribution of Energy and Vorticity for Solutions of 2D Navier-Stokes Equation with Small Viscosity

Sergei B. Kuksin

Journal:

Communications in Mathematical Physics

Year:

2008

Language:

english

File:

PDF, 272 KB

english, 2008

17

On Reducibility of Schrödinger Equations with Quasiperiodic in Time Potentials

Håkan L. Eliasson, Sergei B. Kuksin

Journal:

Communications in Mathematical Physics

Year:

2009

Language:

english

File:

PDF, 213 KB

english, 2009

18

A Coupling Approach¶to Randomly Forced Nonlinear PDE's. I

Sergei Kuksin, Armen Shirikyan

Journal:

Communications in Mathematical Physics

Year:

2001

Language:

english

File:

PDF, 133 KB

english, 2001

19

Quasi-linear elliptic differential equations for mappings of manifolds, II

Gerasim Kokarev, Sergei Kuksin

Journal:

Annals of Global Analysis and Geometry

Year:

2007

Language:

english

File:

PDF, 1.01 MB

english, 2007

20

A Family of Balance Relations for the Two-Dimensional Navier--Stokes Equations with Random Forcing

Sergei Kuksin, Oliver Penrose

Journal:

Journal of Statistical Physics

Year:

2005

Language:

english

File:

PDF, 144 KB

english, 2005

21

Remarks on the Balance Relations for the Two-Dimensional Navier–Stokes Equation with Random Forcing

Sergei B. Kuksin

Journal:

Journal of Statistical Physics

Year:

2006

Language:

english

File:

PDF, 131 KB

english, 2006

22

Ergodicity for the Randomly Forced 2D Navier–Stokes Equations

Sergei Kuksin, Armen Shirikyan

Journal:

Mathematical Physics, Analysis and Geometry

Year:

2001

Language:

english

File:

PDF, 339 KB

english, 2001

23

The Eulerian Limit for 2D Statistical Hydrodynamics

Sergei B. Kuksin

Journal:

Journal of Statistical Physics

Year:

2004

Language:

english

File:

PDF, 186 KB

english, 2004

24

On quantum averaging, quantum KAM, and quantum diffusion

Kuksin, Sergei B, Neishtadt, Anatolii I

Journal:

Russian Mathematical Surveys

Year:

2013

Language:

english

File:

PDF, 632 KB

english, 2013

25

Stochastic CGL equations without linear dispersion in any space dimension

Sergei Kuksin, Vahagn Nersesyan

Journal:

Stochastic Partial Differential Equations: Analysis and Computations

Year:

2013

Language:

english

File:

PDF, 424 KB

english, 2013

26

ERGODIC THEOREMS FOR 2D STATISTICAL HYDRODYNAMICS

KUKSIN, SERGEI B.

Journal:

Reviews in Mathematical Physics

Year:

2002

Language:

english

File:

PDF, 290 KB

english, 2002

27

The KdV equation under periodic boundary conditions and its perturbations

Guan, Huang, Kuksin, Sergei

Journal:

Year:

2014

Language:

english

File:

PDF, 369 KB

english, 2014

28

Derivation of a wave kinetic equation from the resonant-averaged stochastic NLS equation

Kuksin, Sergei, Maiocchi, Alberto

Journal:

Physica D: Nonlinear Phenomena

Year:

2015

Language:

english

File:

PDF, 351 KB

english, 2015

29

Analyticity of solutions for quasilinear wave equations and other quasilinear systems

Kuksin, Sergei, Nadirashvili, Nikolai

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Year:

2014

Language:

english

File:

PDF, 199 KB

english, 2014

30

Some limiting properties of randomly forced two-dimensional Navier–Stokes equations

Kuksin, Sergei, Shirikyan, Armen

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Year:

2003

Language:

english

File:

PDF, 266 KB

english, 2003

31

Marko Iosifovich Vishik (obituary)

Agranovich, Mikhail S, Babin, Anatolii V, Demidov, Aleksander S, Dubinskii, Yulii A, Komech, Aleksandr I, Kuksin, Sergei B, Kuleshov, Aleksandr P, Maslov, Victor P, Novikov, Sergei P, Tikhomirov, Vlad

Journal:

Russian Mathematical Surveys

Year:

2013

Language:

english

File:

PDF, 418 KB

english, 2013

32

They Did Not Take It on Faith

Ivoilova, Irina, Kuksin, Sergei

Journal:

Russian Politics and Law

Year:

2011

Language:

english

File:

PDF, 33 KB

english, 2011

33

The limit of small Rossby numbers for randomly forced quasi-geostrophic equation on β -plane

Kuksin, Sergei, Maiocchi, Alberto

Journal:

Year:

2015

Language:

english

File:

PDF, 411 KB

english, 2015

34

Randomly forced CGL equation: stationary measures and the inviscid limit

Kuksin, Sergei, Shirikyan, Armen

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2004

Language:

english

File:

PDF, 230 KB

english, 2004

35

KdV Hamiltonian as a Function of Actions

Korotyaev, Evgeny L., Kuksin, Sergei

Journal:

Journal of Dynamical and Control Systems

Year:

2016

Language:

english

File:

PDF, 1.08 MB

english, 2016

36

[Handbook of Dynamical Systems] Volume 1 || Hamiltonian PDEs

Kuksin, Sergei B.

Year:

2006

Language:

english

File:

PDF, 330 KB

english, 2006

37

Weakly nonlinear stochastic CGL equations

Kuksin, Sergei B.

Journal:

Annales de l'Institut Henri Poincare (B) Probability and Statistics

Year:

2013

Language:

english

File:

PDF, 336 KB

english, 2013

38

Rigorous results in space-periodic two-dimensional turbulence

Kuksin, Sergei, Shirikyan, Armen

Journal:

Physics of Fluids

Year:

2017

Language:

english

File:

PDF, 525 KB

english, 2017

39

Mathematics of Two-Dimensional Turbulence || Uniqueness of stationary measure and mixing

Kuksin, Sergei, Shirikyan, Armen

Year:

2012

Language:

english

File:

PDF, 543 KB

english, 2012

40

Mathematics of Two-Dimensional Turbulence || References

Kuksin, Sergei, Shirikyan, Armen

Year:

2012

Language:

english

File:

PDF, 120 KB

english, 2012

41

Mathematics of Two-Dimensional Turbulence || Ergodicity and limiting theorems

Kuksin, Sergei, Shirikyan, Armen

Year:

2012

Language:

english

File:

PDF, 320 KB

english, 2012

42

Mathematics of Two-Dimensional Turbulence || Inviscid limit

Kuksin, Sergei, Shirikyan, Armen

Year:

2012

Language:

english

File:

PDF, 309 KB

english, 2012

43

Mathematics of Two-Dimensional Turbulence || Preliminaries

Kuksin, Sergei, Shirikyan, Armen

Year:

2012

Language:

english

File:

PDF, 348 KB

english, 2012

44

Mathematics of Two-Dimensional Turbulence || Appendix

Kuksin, Sergei, Shirikyan, Armen

Year:

2012

Language:

english

File:

PDF, 244 KB

english, 2012

45

Mathematics of Two-Dimensional Turbulence || Miscellanies

Kuksin, Sergei, Shirikyan, Armen

Year:

2012

Language:

english

File:

PDF, 879 KB

english, 2012

46

Mathematics of Two-Dimensional Turbulence || Preface

Kuksin, Sergei, Shirikyan, Armen

Year:

2012

Language:

english

File:

PDF, 470 KB

english, 2012

47

Mathematics of Two-Dimensional Turbulence || Notation and conventions

Kuksin, Sergei, Shirikyan, Armen

Year:

2012

File:

PDF, 100 KB

2012

48

Mathematics of Two-Dimensional Turbulence || Solutions to selected exercises

Kuksin, Sergei, Shirikyan, Armen

Year:

2012

File:

PDF, 167 KB

2012

49

Exponential mixing for a class of dissipative PDEs with bounded degenerate noise

Kuksin, Sergei, Nersesyan, Vahagn, Shirikyan, Armen

Journal:

Geometric And Functional Analysis

Year:

2020

Language:

english

File:

PDF, 890 KB

english, 2020

50

Global, Local and Dense Non-mixing of the 3D Euler Equation

Khesin, Boris, Kuksin, Sergei, Peralta-Salas, Daniel

Journal:

Archive for Rational Mechanics and Analysis

Year:

2020

File:

PDF, 413 KB

2020

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