×
Author ID: kuksin.sergei-b Recent zbMATH articles by "Kuksin, Sergeĭ B."
Published as: Kuksin, S. B.; Kuksin, Sergei; Kuksin, Sergei B.; Kuksin, Sergej B.; Kuksin, S.; Kuksin, Sergeĭ B.; Kuksin, Sergeï B.; Kuksin, Sergej
Homepage: https://webusers.imj-prg.fr/~sergei.kuksin/
External Links: MGP · ORCID · Wikidata · Math-Net.Ru · GND · IdRef · theses.fr
all top 5

Co-Authors

72 single-authored
14 Shirikyan, Armen R.
10 Eliasson, L. Hakan
8 Maiocchi, Alberto Mario
6 Dymov, Andrey V.
5 Huang, Guan
4 Grébert, Benoît
4 Piatnitski, Andrey L.
3 Bikbaev, Ramil’ F.
3 Kappeler, Thomas
3 Nersesyan, Vahagn
3 Pöschel, Jürgen
3 Vishik, Marko Iosifovich
3 Vlǎduţ, Sergei Georgievich
2 Agranovich, Mikhail Semënovich
2 Babin, Anatoli V.
2 Bambusi, Dario
2 Bobenko, Alexander Ivanovich
2 Chepyzhov, Vladimir V.
2 Chueshov, Igor’ Dmitrievich
2 Demidov, Alexandre Sergeevich
2 Dubinskiĭ, Yuliĭ Andreevich
2 Fursikov, Andreĭ Vladimirovich
2 Khesin, Boris A.
2 Kokarev, Gerasim
2 Komech, Alexander Ilich
2 Maslov, Viktor Pavlovich
2 Nadirashvili, Nikolai S.
2 Peralta-Salas, Daniel
2 Perelman, Galina
2 Schröder, Viktor M. H.
2 Shnirelman, Alexander I.
2 Shubin, Mikhail Aleksandrovich
2 Tikhomirov, Vladimir Mikhaĭlovich
1 Agrachev, Andreĭ Aleksandrovich
1 Bardos, Claude Williams
1 Boritchev, Alexandre
1 Brandenberger, Robert H.
1 Drinfeld, Vladimir Gershonovich
1 Eskin, Gregory
1 Gol’dshtejn, R. V.
1 Goritskiĭ, Andreĭ Yur’evich
1 Grigor’yan, Alexander Asaturovich
1 Guan, Huang
1 Guyenne, Philippe
1 Il’yashenko, Yuliĭ Sergeevich
1 Jakobson, Dmitry
1 Jian, Wenwen
1 Kelaï, Takfarinas
1 Kenig, Carlos Eduardo
1 Korotyaev, Evgeny L.
1 Krasnov, M. L.
1 Kuleshov, A. P.
1 Lazutkin, Vladimir Fedorovich
1 Makarenko, G. I.
1 Mischaikow, Konstantin
1 Neĭshtadt, Anatoliĭ Iserovich
1 Novikov, Sergeĭ Petrovich
1 Pelinovsky, Dmitry Efimovich
1 Penrose, Oliver
1 Sarnak, Peter Clive
1 Saut, Jean-Claude
1 Sulem, Catherine
1 Tsfasman, Michael A.
1 Vladuts, Sergei
1 Volevich, Leonid Romanovich
1 Wayne, Clarence Eugene
1 Wu, Yuan
1 Yi, Yingfei
1 Zhang, Huilin
all top 5

Serials

8 Communications in Mathematical Physics
7 Russian Mathematical Surveys
7 Geometric and Functional Analysis. GAFA
4 Journal of Statistical Physics
4 Moscow University Mathematics Bulletin
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika
4 Séminaire Laurent Schwartz. EDP et Applications
3 Archive for Rational Mechanics and Analysis
3 Journal of Applied Mathematics and Mechanics
3 Functional Analysis and its Applications
3 Physica D
3 Mathematics of the USSR, Sbornik
2 Matematicheskie Zametki
2 Nonlinearity
2 Uspekhi Matematicheskikh Nauk [N. S.]
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Matematicheskiĭ Sbornik. Novaya Seriya
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Soviet Physics. Doklady
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 Russian Journal of Mathematical Physics
2 Séminaire Équations aux Dérivées Partielles
2 St. Petersburg Mathematical Journal
2 Annals of Mathematics. Second Series
2 Moscow Mathematical Journal
2 Proceedings of the Steklov Institute of Mathematics
2 Stochastic and Partial Differential Equations. Analysis and Computations
1 Communications on Pure and Applied Mathematics
1 Letters in Mathematical Physics
1 Mathematical Notes
1 Reviews in Mathematical Physics
1 Chaos, Solitons and Fractals
1 Theory of Probability and its Applications
1 Advances in Mathematics
1 Commentarii Mathematici Helvetici
1 Funktsional’nyĭ Analiz i ego Prilozheniya
1 Mathematics of the USSR. Izvestiya
1 Ergodic Theory and Dynamical Systems
1 Annals of Global Analysis and Geometry
1 Algebra i Analiz
1 Differential Geometry and its Applications
1 Automation and Remote Control
1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
1 Journal of Physics A: Mathematical and General
1 Stochastic Processes and their Applications
1 Notices of the American Mathematical Society
1 Journal of Dynamics and Differential Equations
1 Journal of Nonlinear Science
1 Bulletin des Sciences Mathématiques
1 Sbornik: Mathematics
1 Discrete and Continuous Dynamical Systems
1 Documenta Mathematica
1 Doklady Mathematics
1 Mathematical Physics, Analysis and Geometry
1 Reviews in Mathematics and Mathematical Physics
1 Journal of Dynamical and Control Systems
1 Communications in Contemporary Mathematics
1 Annales Henri Poincaré
1 Journal of Mathematical Physics, Analysis, Geometry
1 Cambridge Tracts in Mathematics
1 Lecture Notes in Mathematics
1 Mathematical Surveys and Monographs
1 Oxford Lecture Series in Mathematics and its Applications
1 Annales Mathématiques du Québec
1 Journal de l’École Polytechnique – Mathématiques
1 Progress in Nonlinear Differential Equations and Their Applications
1 Zurich Lectures in Advanced Mathematics

Publications by Year

Citations contained in zbMATH Open

110 Publications have been cited 2,239 times in 978 Documents Cited by Year
Nearly integrable infinite-dimensional Hamiltonian systems. Zbl 0784.58028
Kuksin, Sergej B.
209
1993
Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation. Zbl 0847.35130
Kuksin, Sergej; Pöschel, Jürgen
205
1996
KAM for the nonlinear Schrödinger equation. Zbl 1201.35177
Eliasson, L. Hakan; Kuksin, Sergei B.
175
2010
Mathematics of two-dimensional turbulence. Zbl 1333.76003
Kuksin, Sergei; Shirikyan, Armen
126
2012
Analysis of Hamiltonian PDE’s. Zbl 0960.35001
Kuksin, S. B.
123
2000
Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum. Zbl 0716.34083
Kuksin, S. B.
94
1987
On reducibility of Schrödinger equations with quasiperiodic in time potentials. Zbl 1176.35141
Eliasson, Håkan L.; Kuksin, Sergei B.
91
2009
Hamiltonian perturbations of infinite-dimensional linear systems with imaginary spectrum. Zbl 0631.34069
Kuksin, S. B.
83
1987
KAM for the nonlinear beam equation. Zbl 1370.35214
Eliasson, L. Hakan; Grébert, Benoît; Kuksin, Sergei B.
77
2016
A KAM-theorem for equations of the Korteweg-de Vries type. Zbl 0920.35135
Kuksin, S. B.
64
1998
Stochastic dissipative PDE’s and Gibbs measures. Zbl 0974.60046
Kuksin, Sergei; Shirikyan, Armen
50
2000
Coupling approach to white-forced nonlinear PDEs. Zbl 1021.37044
Kuksin, Sergei; Shirikyan, Armen
42
2002
A coupling approach to randomly forced nonlinear PDE’s. I. Zbl 0991.60056
Kuksin, Sergei; Shirikyan, Armen
41
2001
The Eulerian limit for 2D statistical hydrodynamics. Zbl 1157.76319
Kuksin, Sergei B.
31
2004
On small-denominators equations with large variable coefficients. Zbl 0886.35044
Kuksin, Sergej B.
31
1997
Ergodicity for the randomly forced 2D Navier-Stokes equations. Zbl 1013.37046
Kuksin, Sergei; Shirikyan, Armen
30
2001
Randomly forced CGL equation: stationary measures and the inviscid limit. Zbl 1047.35061
Kuksin, Sergei; Shirikyan, Armen
28
2004
Perturbation of quasiperiodic solutions of infinite-dimensional Hamiltonian systems. Zbl 0667.58060
Kuksin, S. B.
26
1989
Random kick-forced 3D Navier-Stokes equations in a thin domain. Zbl 1133.76015
Chueshov, Igor; Kuksin, Sergei
25
2008
Infinite-dimensional symplectic capacities and a squeezing theorem for Hamiltonian PDE’s. Zbl 0827.35121
Kuksin, Sergej B.
24
1995
Khasminskii-Whitham averaging for randomly perturbed KdV equation. Zbl 1148.35077
Kuksin, Sergei B.; Piatnitski, Andrey L.
24
2008
Randomly forced nonlinear PDEs and statistical hydrodynamics in 2 space dimensions. Zbl 1099.35083
Kuksin, Sergei B.
24
2006
Stochastic 3D Navier-Stokes equations in a thin domain and its \(\alpha \)-approximation. Zbl 1143.76422
Chueshov, Igor; Kuksin, Sergei
23
2008
Exponential mixing for a class of dissipative PDEs with bounded degenerate noise. Zbl 1442.35437
Kuksin, Sergei; Nersesyan, Vahagn; Shirikyan, Armen
23
2020
On the inclusion of analytic symplectic maps in analytic Hamiltonian flows and its applications. Zbl 0797.58025
Kuksin, Sergei; Pöschel, Jürgen
22
1994
Oscillation in space-periodic nonlinear Schrödinger equations. Zbl 0874.35113
Kuksin, S. B.
22
1997
Fifteen years of KAM for PDE. Zbl 1067.37110
Kuksin, Sergei B.
21
2004
Vey theorem in infinite dimensions and its application to KdV. Zbl 1193.37076
Kuksin, Sergei; Perelman, Galina
21
2010
Spectral properties of solutions for nonlinear PDEs in the turbulent regime. Zbl 0929.35145
Kuksin, S. B.
21
1999
KAM theory and the 3D Euler equation. Zbl 1303.37035
Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel
18
2014
On finite-dimensional projections of distributions for solutions of randomly forced 2D Navier-Stokes equations. Zbl 1177.60059
Agrachev, A.; Kuksin, S.; Sarychev, A.; Shirikyan, A.
16
2007
Damped-driven KdV and effective equations for long-time behaviour of its solutions. Zbl 1231.35205
Kuksin, Sergei B.
16
2010
The nonlinear Klein-Gordon equation on an interval as a perturbed sine-Gordon equation. Zbl 0842.35099
Bobenko, Alexander I.; Kuksin, Sergej B.
15
1995
A coupling approach to randomly forced nonlinear PDE’s. II. Zbl 1010.60066
Kuksin, Sergei; Piatniski, Andrey; Shirikyan, Armen
15
2002
On turbulence in nonlinear Schrödinger equations. Zbl 0912.35143
Kuksin, S. B.
14
1997
Four lectures on KAM for the nonlinear Schrödinger equation. Zbl 1140.37021
Eliasson, L. H.; Kuksin, S. B.
14
2008
Perturbation of conditionally periodic solutions of infinite-dimensional Hamiltonian systems. Zbl 0662.58036
Kuksin, S. B.
13
1988
On the parametrization of finite-gap solutions by frequency and wavenumber vectors and a theorem of I. Krichever. Zbl 0774.35070
Bikbaev, Ramil F.; Kuksin, Sergej B.
12
1993
The KdV equation under periodic boundary conditions and its perturbations. Zbl 1301.35132
Guan, Huang; Kuksin, Sergei
12
2014
Perturbation theory for quasiperiodic solutions of infinite-dimensional Hamiltonian systems, and its applications to the Korteweg-de Vries equation. Zbl 0678.58037
Kuksin, S. B.
12
1989
On random attractors for mixing type systems. Zbl 1086.37027
Kuksin, S. B.; Shirikyan, A.
12
2004
On distribution of energy and vorticity for solutions of 2D Navier-Stokes equation with small viscosity. Zbl 1168.35034
Kuksin, Sergei B.
11
2008
Weakly nonlinear stochastic CGL equations. Zbl 1280.35144
Kuksin, Sergei B.
11
2013
Hölder estimates for solutions of parabolic SPDEs. Zbl 1038.60058
Kuksin, S. B.; Nadirashvili, N. S.; Pyatnitskij, A. L.
11
2002
Growth and oscillations of solutions of nonlinear Schrödinger equation. Zbl 0862.35112
Kuksin, Sergei B.
10
1996
Infinite Toeplitz-Lipschitz matrices and operators. Zbl 1140.15025
Eliasson, H. L.; Kuksin, S. B.
9
2008
Derivation of a wave kinetic equation from the resonant-averaged stochastic NLS equation. Zbl 1364.35336
Kuksin, Sergei; Maiocchi, Alberto
9
2015
Stochastic CGL equations without linear dispersion in any space dimension. Zbl 1287.60093
Kuksin, Sergei; Nersesyan, Vahagn
9
2013
On squeezing and flow of energy for nonlinear wave equations. Zbl 0834.35086
Kuksin, S. B.
8
1995
Time-averaging for weakly nonlinear CGL equations with arbitrary potentials. Zbl 1331.35331
Huang, Guan; Kuksin, Sergei; Maiocchi, Alberto
8
2015
Perturbation theory of conditionally periodic solutions of infinite- dimensional Hamiltonian systems and its application to the Korteweg-de Vries equation. Zbl 0657.58033
Kuksin, S. B.
8
1988
Mixing via controllability for randomly forced nonlinear dissipative PDEs. (Mélange via la contrôlabilité pour des EDP non linéaires dissipatives bruitées.) Zbl 1451.35071
Kuksin, Sergei; Nersesyan, Vahagn; Shirikyan, Armen
8
2020
Eulerian limit for 2D Navier-Stokes equation and damped/driven KdV equation as its model. Zbl 1161.35461
Kuksin, S. B.
7
2007
Some limiting properties of randomly forced two-dimensional Navier-Stokes equations. Zbl 1060.35106
Kuksin, Sergei; Shirikyan, Armen
7
2003
On the inclusion of an almost integrable analytic symplectomorphism into a Hamiltonian flow. Zbl 0931.37030
Kuksin, Sergei B.
7
1993
Elements of a qualitative theory of Hamiltonian PDEs. Zbl 0967.35123
Kuksin, Sergei B.
7
1998
On the Zakharov-L’vov stochastic model for wave turbulence. Zbl 1479.35783
Dymov, A. V.; Kuksin, S. B.
7
2020
One-dimensional turbulence and the stochastic Burgers equation. Zbl 1486.60002
Boritchev, Alexandre; Kuksin, Sergei
7
2021
Formal expansions in stochastic model for wave turbulence. I: Kinetic limit. Zbl 1482.35211
Dymov, Andrey; Kuksin, Sergei
7
2021
Asymptotic expansions for some integrals of quotients with degenerated divisors. Zbl 1382.28005
Kuksin, Sergei
6
2017
Resonant averaging for small-amplitude solutions of stochastic nonlinear Schrödinger equations. Zbl 1391.35437
Kuksin, Sergei; Maiocchi, Alberto
6
2018
A periodic boundary value problem for the sine-Gordon equation, its small Hamiltonian perturbations and KAM deformations of finite-zone tori. Zbl 0771.35052
Bikbaev, R. F.; Kuksin, S. B.
6
1992
Diffeomorphisms of functional spaces corresponding to quasilinear parabolic equations. Zbl 0501.35046
Kuksin, S. B.
6
1982
Stochastic nonlinear Schrödinger equation. I: A priori estimates. Zbl 0984.60070
Kuksin, S. B.
6
1999
Global, local and dense non-mixing of the 3D Euler equation. Zbl 1451.35122
Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel
6
2020
KAM-theory for partial differential equations. Zbl 0821.35130
Kuksin, S. B.
5
1994
Perturbations of the harmonic map equation. Zbl 1063.58012
Kappeler, T.; Kuksin, S.; Schroeder, V.
5
2003
The limit of small Rossby numbers for randomly forced quasi-geostrophic equation on \(\beta\)-plane. Zbl 1327.35462
Kuksin, Sergei; Maiocchi, Alberto
5
2015
Ergodic theorems for 2D statistical hydrodynamics. Zbl 1030.37054
Kuksin, Sergei B.
5
2002
Exponential mixing for dissipative PDEs with bounded non-degenerate noise. Zbl 1440.35272
Kuksin, Sergei; Zhang, Huilin
5
2020
A family of balance relations for the two-dimensional Navier-Stokes equations with random forcing. Zbl 1064.76027
Kuksin, Sergei; Penrose, Oliver
4
2005
An infinitesimal Liouville-Arnold theorem as a criterion of reducibility for variational Hamiltonian equations. Zbl 0769.58022
Kuksin, Sergej B.
4
1992
Quasilinear elliptic equations and Fredholm manifolds. Zbl 0599.35041
Vishik, M. I.; Kuksin, S. B.
4
1985
Formal expansions in stochastic model for wave turbulence. II: Method of diagram decomposition. Zbl 1504.35474
Dymov, Andrey; Kuksin, Sergei
4
2023
Hamiltonian PDEs. (With an appendix by Dario Bambusi). Zbl 1130.37392
Kuksin, Sergei B.
3
2006
Remarks on the balance relations for the two-dimensional Navier-Stokes equation with random forcing. Zbl 1089.76013
Kuksin, Sergei B.
3
2006
Quasi-linear elliptic differential equations for mappings of manifolds. II. Zbl 1232.58005
Kokarev, Gerasim; Kuksin, Sergei
3
2007
A periodic boundary value problem for the sine-Gordon equation, small Hamiltonian perturbations of it, and KAM-deformations of finite-gap tori. Zbl 0791.35118
Bikbaev, R. F.; Kuksin, S. B.
3
1992
Strong nonresonance of Schrödinger operators and an averaging theorem. Zbl 0885.35119
Kappeler, T.; Kuksin, S.
3
1995
On exponential convergence to a stationary measure for nonlinear PDEs perturbed by random kick-forces, and the turbulence limit. Zbl 1023.37031
Kuksin, Sergei B.
3
2002
An application of monotone semigroups in the theory of perfect elastoplasticity. Zbl 0513.73039
Kuksin, S. B.
3
1982
Perturbations of quasilinear elliptic equations and Fredholm manifolds. Zbl 0625.35029
Vishik, M. I.; Kuksin, S. B.
3
1987
An averaging theorem for distributed conservative systems and its application to von Kármán’s equations. Zbl 0722.73039
Kuksin, S. B.
3
1989
On quantum averaging, quantum KAM, and quantum diffusion. Zbl 1271.81066
Kuksin, S. B.; Neishtadt, A. I.
3
2013
Double-periodic solutions of nonlinear Cauchy-Riemann equations. Zbl 0855.58048
Kuksin, Sergej B.
2
1996
Rigorous results and conjectures on stationary space-periodic 2D turbulence. Zbl 1171.35445
Kuksin, Sergei B.
2
2007
KdV Hamiltonian as a function of actions. Zbl 1351.37243
Korotyaev, Evgeny L.; Kuksin, Sergei
2
2016
Analyticity of solutions for quasilinear wave equations and other quasilinear systems. Zbl 1330.35261
Kuksin, Sergei; Nadirashvili, Nikolai
2
2014
Reducible equations in variations and perturbations of invariant tori of Hamiltonian systems. Zbl 0684.58013
Kuksin, S. B.
2
1989
Conditions on a discontinuity of solutions of the Prandtl-Reuss equations. Zbl 0584.73040
Kuksin, S. B.
2
1984
Asymptotic properties of integrals of quotients when the numerator oscillates and the denominator degenerates. Zbl 07116939
Kuksin, Sergei
2
2018
The large-period limit for equations of discrete turbulence. Zbl 1529.35464
Dymov, Andrey; Kuksin, Sergei; Maiocchi, Alberto; Vlăduţ, Sergei
2
2023
Resonant averaging for weakly nonlinear stochastic Schrödinger equations. Zbl 1490.35426
Kuksin, Sergei B.
2
2014
Krylov-Bogolyubov averaging. Zbl 1452.34049
Jian, Wenwen; Kuksin, Sergeĭ B.; Wu, Yuan
2
2020
Dissipative perturbations of KdV. Zbl 1204.35147
Kuksin, Sergei B.
1
2010
Seminar on dynamical systems. Euler International Mathematical Institut, St. Petersburg, Russia, October 14-25 and November 18-29, 1991. Zbl 0782.00078
1
1994
Small-amplitude solutions of the sine-Gordon equation on an interval under Dirichlet or Neumann boundary conditions. Zbl 0839.35117
Bobenko, A. I.; Kuksin, S. B.
1
1995
Introduction to the stochastic Burgers equation and Burgulence. (Introduction à l’équation de Burgers stochastique et à la Burgulence.) Zbl 1401.35358
Kelaï, Takfarinas; Kuksin, Sergei
1
2016
Poincaré inequalities for maps with target manifold of negative curvature. Zbl 1093.53037
Kappeler, T.; Schroeder, V.; Kuksin, S.
1
2005
Conservative perturbations of infinite-dimensional linear systems depending on a vector parameter. Zbl 0688.58033
Kuksin, S. B.
1
1989
Formal expansions in stochastic model for wave turbulence. II: Method of diagram decomposition. Zbl 1504.35474
Dymov, Andrey; Kuksin, Sergei
4
2023
The large-period limit for equations of discrete turbulence. Zbl 1529.35464
Dymov, Andrey; Kuksin, Sergei; Maiocchi, Alberto; Vlăduţ, Sergei
2
2023
One-dimensional turbulence and the stochastic Burgers equation. Zbl 1486.60002
Boritchev, Alexandre; Kuksin, Sergei
7
2021
Formal expansions in stochastic model for wave turbulence. I: Kinetic limit. Zbl 1482.35211
Dymov, Andrey; Kuksin, Sergei
7
2021
On the energy transfer to high frequencies in the damped/driven nonlinear Schrödinger equation. Zbl 1478.35192
Huang, Guan; Kuksin, Sergei
1
2021
Exponential mixing for a class of dissipative PDEs with bounded degenerate noise. Zbl 1442.35437
Kuksin, Sergei; Nersesyan, Vahagn; Shirikyan, Armen
23
2020
Mixing via controllability for randomly forced nonlinear dissipative PDEs. (Mélange via la contrôlabilité pour des EDP non linéaires dissipatives bruitées.) Zbl 1451.35071
Kuksin, Sergei; Nersesyan, Vahagn; Shirikyan, Armen
8
2020
On the Zakharov-L’vov stochastic model for wave turbulence. Zbl 1479.35783
Dymov, A. V.; Kuksin, S. B.
7
2020
Global, local and dense non-mixing of the 3D Euler equation. Zbl 1451.35122
Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel
6
2020
Exponential mixing for dissipative PDEs with bounded non-degenerate noise. Zbl 1440.35272
Kuksin, Sergei; Zhang, Huilin
5
2020
Krylov-Bogolyubov averaging. Zbl 1452.34049
Jian, Wenwen; Kuksin, Sergeĭ B.; Wu, Yuan
2
2020
Ergodicity, mixing and KAM. Zbl 1479.35546
Kuksin, Sergei
1
2019
Resonant averaging for small-amplitude solutions of stochastic nonlinear Schrödinger equations. Zbl 1391.35437
Kuksin, Sergei; Maiocchi, Alberto
6
2018
Asymptotic properties of integrals of quotients when the numerator oscillates and the denominator degenerates. Zbl 07116939
Kuksin, Sergei
2
2018
Asymptotic expansions for some integrals of quotients with degenerated divisors. Zbl 1382.28005
Kuksin, Sergei
6
2017
KAM for the nonlinear beam equation. Zbl 1370.35214
Eliasson, L. Hakan; Grébert, Benoît; Kuksin, Sergei B.
77
2016
KdV Hamiltonian as a function of actions. Zbl 1351.37243
Korotyaev, Evgeny L.; Kuksin, Sergei
2
2016
Introduction to the stochastic Burgers equation and Burgulence. (Introduction à l’équation de Burgers stochastique et à la Burgulence.) Zbl 1401.35358
Kelaï, Takfarinas; Kuksin, Sergei
1
2016
Derivation of a wave kinetic equation from the resonant-averaged stochastic NLS equation. Zbl 1364.35336
Kuksin, Sergei; Maiocchi, Alberto
9
2015
Time-averaging for weakly nonlinear CGL equations with arbitrary potentials. Zbl 1331.35331
Huang, Guan; Kuksin, Sergei; Maiocchi, Alberto
8
2015
The limit of small Rossby numbers for randomly forced quasi-geostrophic equation on \(\beta\)-plane. Zbl 1327.35462
Kuksin, Sergei; Maiocchi, Alberto
5
2015
KAM theory and the 3D Euler equation. Zbl 1303.37035
Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel
18
2014
The KdV equation under periodic boundary conditions and its perturbations. Zbl 1301.35132
Guan, Huang; Kuksin, Sergei
12
2014
Analyticity of solutions for quasilinear wave equations and other quasilinear systems. Zbl 1330.35261
Kuksin, Sergei; Nadirashvili, Nikolai
2
2014
Resonant averaging for weakly nonlinear stochastic Schrödinger equations. Zbl 1490.35426
Kuksin, Sergei B.
2
2014
Weakly nonlinear stochastic CGL equations. Zbl 1280.35144
Kuksin, Sergei B.
11
2013
Stochastic CGL equations without linear dispersion in any space dimension. Zbl 1287.60093
Kuksin, Sergei; Nersesyan, Vahagn
9
2013
On quantum averaging, quantum KAM, and quantum diffusion. Zbl 1271.81066
Kuksin, S. B.; Neishtadt, A. I.
3
2013
Mathematics of two-dimensional turbulence. Zbl 1333.76003
Kuksin, Sergei; Shirikyan, Armen
126
2012
KAM for the nonlinear Schrödinger equation. Zbl 1201.35177
Eliasson, L. Hakan; Kuksin, Sergei B.
175
2010
Vey theorem in infinite dimensions and its application to KdV. Zbl 1193.37076
Kuksin, Sergei; Perelman, Galina
21
2010
Damped-driven KdV and effective equations for long-time behaviour of its solutions. Zbl 1231.35205
Kuksin, Sergei B.
16
2010
Dissipative perturbations of KdV. Zbl 1204.35147
Kuksin, Sergei B.
1
2010
On reducibility of Schrödinger equations with quasiperiodic in time potentials. Zbl 1176.35141
Eliasson, Håkan L.; Kuksin, Sergei B.
91
2009
Random kick-forced 3D Navier-Stokes equations in a thin domain. Zbl 1133.76015
Chueshov, Igor; Kuksin, Sergei
25
2008
Khasminskii-Whitham averaging for randomly perturbed KdV equation. Zbl 1148.35077
Kuksin, Sergei B.; Piatnitski, Andrey L.
24
2008
Stochastic 3D Navier-Stokes equations in a thin domain and its \(\alpha \)-approximation. Zbl 1143.76422
Chueshov, Igor; Kuksin, Sergei
23
2008
Four lectures on KAM for the nonlinear Schrödinger equation. Zbl 1140.37021
Eliasson, L. H.; Kuksin, S. B.
14
2008
On distribution of energy and vorticity for solutions of 2D Navier-Stokes equation with small viscosity. Zbl 1168.35034
Kuksin, Sergei B.
11
2008
Infinite Toeplitz-Lipschitz matrices and operators. Zbl 1140.15025
Eliasson, H. L.; Kuksin, S. B.
9
2008
On finite-dimensional projections of distributions for solutions of randomly forced 2D Navier-Stokes equations. Zbl 1177.60059
Agrachev, A.; Kuksin, S.; Sarychev, A.; Shirikyan, A.
16
2007
Eulerian limit for 2D Navier-Stokes equation and damped/driven KdV equation as its model. Zbl 1161.35461
Kuksin, S. B.
7
2007
Quasi-linear elliptic differential equations for mappings of manifolds. II. Zbl 1232.58005
Kokarev, Gerasim; Kuksin, Sergei
3
2007
Rigorous results and conjectures on stationary space-periodic 2D turbulence. Zbl 1171.35445
Kuksin, Sergei B.
2
2007
Randomly forced nonlinear PDEs and statistical hydrodynamics in 2 space dimensions. Zbl 1099.35083
Kuksin, Sergei B.
24
2006
Hamiltonian PDEs. (With an appendix by Dario Bambusi). Zbl 1130.37392
Kuksin, Sergei B.
3
2006
Remarks on the balance relations for the two-dimensional Navier-Stokes equation with random forcing. Zbl 1089.76013
Kuksin, Sergei B.
3
2006
A family of balance relations for the two-dimensional Navier-Stokes equations with random forcing. Zbl 1064.76027
Kuksin, Sergei; Penrose, Oliver
4
2005
Poincaré inequalities for maps with target manifold of negative curvature. Zbl 1093.53037
Kappeler, T.; Schroeder, V.; Kuksin, S.
1
2005
Lectures on Hamiltonian methods in nonlinear PDEs. Zbl 1123.37028
Kuksin, Sergei
1
2005
The Eulerian limit for 2D statistical hydrodynamics. Zbl 1157.76319
Kuksin, Sergei B.
31
2004
Randomly forced CGL equation: stationary measures and the inviscid limit. Zbl 1047.35061
Kuksin, Sergei; Shirikyan, Armen
28
2004
Fifteen years of KAM for PDE. Zbl 1067.37110
Kuksin, Sergei B.
21
2004
On random attractors for mixing type systems. Zbl 1086.37027
Kuksin, S. B.; Shirikyan, A.
12
2004
Some limiting properties of randomly forced two-dimensional Navier-Stokes equations. Zbl 1060.35106
Kuksin, Sergei; Shirikyan, Armen
7
2003
Perturbations of the harmonic map equation. Zbl 1063.58012
Kappeler, T.; Kuksin, S.; Schroeder, V.
5
2003
Coupling approach to white-forced nonlinear PDEs. Zbl 1021.37044
Kuksin, Sergei; Shirikyan, Armen
42
2002
A coupling approach to randomly forced nonlinear PDE’s. II. Zbl 1010.60066
Kuksin, Sergei; Piatniski, Andrey; Shirikyan, Armen
15
2002
Hölder estimates for solutions of parabolic SPDEs. Zbl 1038.60058
Kuksin, S. B.; Nadirashvili, N. S.; Pyatnitskij, A. L.
11
2002
Ergodic theorems for 2D statistical hydrodynamics. Zbl 1030.37054
Kuksin, Sergei B.
5
2002
On exponential convergence to a stationary measure for nonlinear PDEs perturbed by random kick-forces, and the turbulence limit. Zbl 1023.37031
Kuksin, Sergei B.
3
2002
On dissipative systems perturbed by bounded random kick-forces. Zbl 1029.37053
Kuksin, Sergei; Shirikyan, Armen
1
2002
A coupling approach to randomly forced nonlinear PDE’s. I. Zbl 0991.60056
Kuksin, Sergei; Shirikyan, Armen
41
2001
Ergodicity for the randomly forced 2D Navier-Stokes equations. Zbl 1013.37046
Kuksin, Sergei; Shirikyan, Armen
30
2001
Analysis of Hamiltonian PDE’s. Zbl 0960.35001
Kuksin, S. B.
123
2000
Stochastic dissipative PDE’s and Gibbs measures. Zbl 0974.60046
Kuksin, Sergei; Shirikyan, Armen
50
2000
Spectral properties of solutions for nonlinear PDEs in the turbulent regime. Zbl 0929.35145
Kuksin, S. B.
21
1999
Stochastic nonlinear Schrödinger equation. I: A priori estimates. Zbl 0984.60070
Kuksin, S. B.
6
1999
A KAM-theorem for equations of the Korteweg-de Vries type. Zbl 0920.35135
Kuksin, S. B.
64
1998
Elements of a qualitative theory of Hamiltonian PDEs. Zbl 0967.35123
Kuksin, Sergei B.
7
1998
On small-denominators equations with large variable coefficients. Zbl 0886.35044
Kuksin, Sergej B.
31
1997
Oscillation in space-periodic nonlinear Schrödinger equations. Zbl 0874.35113
Kuksin, S. B.
22
1997
On turbulence in nonlinear Schrödinger equations. Zbl 0912.35143
Kuksin, S. B.
14
1997
Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation. Zbl 0847.35130
Kuksin, Sergej; Pöschel, Jürgen
205
1996
Growth and oscillations of solutions of nonlinear Schrödinger equation. Zbl 0862.35112
Kuksin, Sergei B.
10
1996
Double-periodic solutions of nonlinear Cauchy-Riemann equations. Zbl 0855.58048
Kuksin, Sergej B.
2
1996
Infinite-dimensional symplectic capacities and a squeezing theorem for Hamiltonian PDE’s. Zbl 0827.35121
Kuksin, Sergej B.
24
1995
The nonlinear Klein-Gordon equation on an interval as a perturbed sine-Gordon equation. Zbl 0842.35099
Bobenko, Alexander I.; Kuksin, Sergej B.
15
1995
On squeezing and flow of energy for nonlinear wave equations. Zbl 0834.35086
Kuksin, S. B.
8
1995
Strong nonresonance of Schrödinger operators and an averaging theorem. Zbl 0885.35119
Kappeler, T.; Kuksin, S.
3
1995
Small-amplitude solutions of the sine-Gordon equation on an interval under Dirichlet or Neumann boundary conditions. Zbl 0839.35117
Bobenko, A. I.; Kuksin, S. B.
1
1995
On the inclusion of analytic symplectic maps in analytic Hamiltonian flows and its applications. Zbl 0797.58025
Kuksin, Sergei; Pöschel, Jürgen
22
1994
KAM-theory for partial differential equations. Zbl 0821.35130
Kuksin, S. B.
5
1994
Seminar on dynamical systems. Euler International Mathematical Institut, St. Petersburg, Russia, October 14-25 and November 18-29, 1991. Zbl 0782.00078
1
1994
Nearly integrable infinite-dimensional Hamiltonian systems. Zbl 0784.58028
Kuksin, Sergej B.
209
1993
On the parametrization of finite-gap solutions by frequency and wavenumber vectors and a theorem of I. Krichever. Zbl 0774.35070
Bikbaev, Ramil F.; Kuksin, Sergej B.
12
1993
On the inclusion of an almost integrable analytic symplectomorphism into a Hamiltonian flow. Zbl 0931.37030
Kuksin, Sergei B.
7
1993
A periodic boundary value problem for the sine-Gordon equation, its small Hamiltonian perturbations and KAM deformations of finite-zone tori. Zbl 0771.35052
Bikbaev, R. F.; Kuksin, S. B.
6
1992
An infinitesimal Liouville-Arnold theorem as a criterion of reducibility for variational Hamiltonian equations. Zbl 0769.58022
Kuksin, Sergej B.
4
1992
A periodic boundary value problem for the sine-Gordon equation, small Hamiltonian perturbations of it, and KAM-deformations of finite-gap tori. Zbl 0791.35118
Bikbaev, R. F.; Kuksin, S. B.
3
1992
Perturbation of quasiperiodic solutions of infinite-dimensional Hamiltonian systems. Zbl 0667.58060
Kuksin, S. B.
26
1989
Perturbation theory for quasiperiodic solutions of infinite-dimensional Hamiltonian systems, and its applications to the Korteweg-de Vries equation. Zbl 0678.58037
Kuksin, S. B.
12
1989
An averaging theorem for distributed conservative systems and its application to von Kármán’s equations. Zbl 0722.73039
Kuksin, S. B.
3
1989
Reducible equations in variations and perturbations of invariant tori of Hamiltonian systems. Zbl 0684.58013
Kuksin, S. B.
2
1989
Conservative perturbations of infinite-dimensional linear systems depending on a vector parameter. Zbl 0688.58033
Kuksin, S. B.
1
1989
Perturbation of conditionally periodic solutions of infinite-dimensional Hamiltonian systems. Zbl 0662.58036
Kuksin, S. B.
13
1988
Perturbation theory of conditionally periodic solutions of infinite- dimensional Hamiltonian systems and its application to the Korteweg-de Vries equation. Zbl 0657.58033
Kuksin, S. B.
8
1988
Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum. Zbl 0716.34083
Kuksin, S. B.
94
1987
Hamiltonian perturbations of infinite-dimensional linear systems with imaginary spectrum. Zbl 0631.34069
Kuksin, S. B.
83
1987
Perturbations of quasilinear elliptic equations and Fredholm manifolds. Zbl 0625.35029
Vishik, M. I.; Kuksin, S. B.
3
1987
...and 10 more Documents
all top 5

Cited by 781 Authors

52 Kuksin, Sergeĭ B.
37 Geng, Jiansheng
31 Procesi, Michela
30 Berti, Massimiliano
24 Montalto, Riccardo
24 Xu, Junxiang
22 Bambusi, Dario
22 Grébert, Benoît
21 Kappeler, Thomas
19 Nersesyan, Vahagn
19 Xu, XinDong
18 Si, Jianguo
18 Yuan, Xiaoping
14 Maspero, Alberto
14 Shi, Yanling
14 Shirikyan, Armen R.
14 You, Jiangong
12 Baldi, Pietro
12 Glatt-Holtz, Nathan E.
12 Li, Yong
11 Bedrossian, Jacob
11 Cong, Hongzi
11 Gao, Meina
11 Liu, Jianjun
11 Lou, Zhaowei
11 Mattingly, Jonathan Christopher
11 Mi, Lufang
11 Zhang, Min
10 Dymov, Andrey V.
10 Flandoli, Franco
10 Liang, Zhenguo
10 Rui, Jie
9 Biasco, Luca
9 Gentile, Guido
9 Topalov, Peter J.
9 Wang, Yi
8 Bolle, Philippe
8 Boritchev, Alexandre
8 Debussche, Arnaud
8 Faou, Erwan
8 Giuliani, Filippo
8 Guardia, Marcel
8 Haus, Emanuele
8 Ji, Shuguan
8 Yan, Dongfeng
7 Blumenthal, Alex
7 Bourgain, Jean
7 Da Prato, Giuseppe
7 Feola, Roberto
7 Ferrario, Benedetta
7 Hairer, Martin
7 Hani, Zaher
7 Peralta-Salas, Daniel
7 Wei, Jinlong
7 Xu, Lihu
7 Zhang, Dongfeng
6 Bessaih, Hakima
6 Cerrai, Sandra
6 Colliander, James E.
6 Corsi, Livia
6 Coti Zelati, Michele
6 Froeschlé, Claude
6 Gao, Yixian
6 Gess, Benjamin
6 Huang, Guan
6 Lega, Elena
6 Li, Dingshi
6 Li, Jing
6 Liu, Wei
6 Maiocchi, Alberto Mario
6 Punshon-Smith, Sam
6 Razafimandimby, Paul André
6 Shi, Guanghua
6 Si, Wen
6 Staffilani, Gigliola
6 Sun, Yingte
6 Thomann, Laurent
5 Bakhtin, Yuri Yu.
5 Enciso, Alberto
5 Guzzo, Massimiliano
5 Kokarev, Gerasim
5 Li, Fuzhi
5 Liu, Jie
5 Massetti, Jessica Elisa
5 Peng, Xuhui
5 Ren, Xiufang
5 Rudakov, Igor Alekseevich
5 Shi, Lin
5 Sun, Yingnan
5 Sy, Mouhamadou
5 Wang, Wei-Min
5 Wei, Hui
5 Xue, Shuaishuai
5 Yang, Xue
5 Yi, Yingfei
5 Zelik, Sergey V.
4 Barbu, Viorel
4 Bikbaev, Ramil’ F.
4 Bogachev, Vladimir Igorevich
4 Breit, Dominic
...and 681 more Authors
all top 5

Cited in 203 Serials

78 Journal of Differential Equations
70 Communications in Mathematical Physics
42 Journal of Mathematical Physics
40 Journal of Dynamics and Differential Equations
29 Journal of Mathematical Analysis and Applications
26 Discrete and Continuous Dynamical Systems
25 Archive for Rational Mechanics and Analysis
20 Physica D
18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
17 Journal of Statistical Physics
17 Stochastic Processes and their Applications
16 Nonlinearity
15 Journal of Functional Analysis
14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
14 Stochastic and Partial Differential Equations. Analysis and Computations
13 Advances in Mathematics
11 Geometric and Functional Analysis. GAFA
11 SIAM Journal on Mathematical Analysis
11 Communications on Pure and Applied Analysis
10 Inventiones Mathematicae
10 Journal of Nonlinear Science
10 Discrete and Continuous Dynamical Systems. Series B
9 Probability Theory and Related Fields
9 Communications in Partial Differential Equations
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 Qualitative Theory of Dynamical Systems
8 Applicable Analysis
8 Séminaire Laurent Schwartz. EDP et Applications
7 Proceedings of the American Mathematical Society
7 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
7 NoDEA. Nonlinear Differential Equations and Applications
7 Bollettino dell’Unione Matematica Italiana
6 Journal d’Analyse Mathématique
6 Mathematical Notes
6 Russian Mathematical Surveys
6 The Annals of Probability
6 Duke Mathematical Journal
6 Memoirs of the American Mathematical Society
6 Transactions of the American Mathematical Society
6 Journal of Mathematical Sciences (New York)
6 Journal of the European Mathematical Society (JEMS)
6 Annales Henri Poincaré
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Boundary Value Problems
6 Science China. Mathematics
5 Communications on Pure and Applied Mathematics
5 Journal of Applied Mathematics and Mechanics
5 Chinese Annals of Mathematics. Series B
5 Bulletin of the American Mathematical Society. New Series
5 Taiwanese Journal of Mathematics
5 Acta Mathematica Sinica. English Series
5 Journal of Dynamical and Control Systems
5 Journal of Fixed Point Theory and Applications
4 Mathematische Zeitschrift
4 Celestial Mechanics and Dynamical Astronomy
4 Russian Journal of Mathematical Physics
4 Communications in Nonlinear Science and Numerical Simulation
4 Journal of Evolution Equations
4 Dynamical Systems
4 Stochastics and Dynamics
4 Proceedings of the Steklov Institute of Mathematics
4 Analysis & PDE
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Reviews in Mathematical Physics
3 Acta Mathematica
3 Applied Mathematics and Optimization
3 Numerische Mathematik
3 Stochastic Analysis and Applications
3 Journal of the American Mathematical Society
3 The Annals of Applied Probability
3 Differential Geometry and its Applications
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
3 Calculus of Variations and Partial Differential Equations
3 Sbornik: Mathematics
3 Doklady Mathematics
3 Mathematical Physics, Analysis and Geometry
3 Chaos
3 Regular and Chaotic Dynamics
3 Journal of High Energy Physics
3 Nonlinear Analysis. Real World Applications
3 SIAM Journal on Applied Dynamical Systems
3 Frontiers of Mathematics in China
3 Forum of Mathematics, Sigma
3 Annals of PDE
2 Computers & Mathematics with Applications
2 Physica A
2 Physics Letters. A
2 Theoretical and Mathematical Physics
2 Annales de l’Institut Fourier
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Applied Mathematics and Computation
2 Indiana University Mathematics Journal
2 Publications Mathématiques
2 Journal of Soviet Mathematics
2 Mathematische Annalen
2 Acta Applicandae Mathematicae
2 Annals of Global Analysis and Geometry
2 Journal of Scientific Computing
...and 103 more Serials
all top 5

Cited in 42 Fields

705 Partial differential equations (35-XX)
546 Dynamical systems and ergodic theory (37-XX)
223 Probability theory and stochastic processes (60-XX)
174 Fluid mechanics (76-XX)
95 Mechanics of particles and systems (70-XX)
67 Ordinary differential equations (34-XX)
46 Quantum theory (81-XX)
40 Statistical mechanics, structure of matter (82-XX)
36 Global analysis, analysis on manifolds (58-XX)
29 Mechanics of deformable solids (74-XX)
27 Operator theory (47-XX)
27 Systems theory; control (93-XX)
25 Differential geometry (53-XX)
23 Numerical analysis (65-XX)
13 Geophysics (86-XX)
11 Functional analysis (46-XX)
8 Measure and integration (28-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
6 Integral equations (45-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
6 Optics, electromagnetic theory (78-XX)
5 Real functions (26-XX)
5 Relativity and gravitational theory (83-XX)
4 Difference and functional equations (39-XX)
4 Approximations and expansions (41-XX)
3 General and overarching topics; collections (00-XX)
3 Topological groups, Lie groups (22-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Special functions (33-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Biology and other natural sciences (92-XX)
2 History and biography (01-XX)
2 Combinatorics (05-XX)
2 Number theory (11-XX)
2 Algebraic geometry (14-XX)
2 Group theory and generalizations (20-XX)
2 Functions of a complex variable (30-XX)
1 Mathematical logic and foundations (03-XX)
1 Sequences, series, summability (40-XX)
1 Manifolds and cell complexes (57-XX)
1 Astronomy and astrophysics (85-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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