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Kuksin, Sergeĭ B.

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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, Sergei Borisovich; Kuksin, Sergeĭ B.; Kuksin, Sergeï B.; Kuksin, Sergej
Homepage: https://webusers.imj-prg.fr/~sergei.kuksin/
External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef · theses.fr
Documents Indexed: 135 Publications since 1978, including 6 Books
Biographic References: 1 Publication
all top 5

Co-Authors

69 single-authored
13 Shirikyan, Armen R.
7 Eliasson, L. Hakan
4 Maiocchi, Alberto Mario
3 Bikbaev, Ramil’ F.
3 Kappeler, Thomas
3 Nersesyan, Vahagn
3 Piatnitski, Andrey L.
3 Pöschel, Jürgen
3 Vishik, Marko Iosifovich
2 Agranovich, Mikhail Semënovich
2 Babin, Anatoli V.
2 Bobenko, Alexander Ivanovich
2 Chepyzhov, Vladimir V.
2 Chueshov, Igor’ Dmitrievich
2 Demidov, Alexandre Sergeevich
2 Dubinskiĭ, Yuliĭ Andreevich
2 Dymov, Andrey V.
2 Fursikov, Andreĭ Vladimirovich
2 Grébert, Benoît
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 Bambusi, Dario
1 Bardos, Claude Williams
1 Boritchev, Alexandre
1 Brandenberger, Robert H.
1 Drinfeld, Vladimir Gershonovich
1 Éskin, G. I.
1 Gol’dshtejn, R. V.
1 Goritskiĭ, Andreĭ Yur’evich
1 Grigor’yan, Alexander Asaturovich
1 Guan, Huang
1 Guyenne, Philippe
1 Huang, Guan
1 Ilyashenko, Yulij 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 Vlǎduţ, Sergei Georgievich
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 Geometric and Functional Analysis. GAFA
6 Russian Mathematical Surveys
4 Moscow University Mathematics Bulletin
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika
3 Journal of Applied Mathematics and Mechanics
3 Journal of Statistical Physics
3 Functional Analysis and its Applications
3 Physica D
3 Mathematics of the USSR, Sbornik
2 Archive for Rational Mechanics and Analysis
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 Séminaire Laurent Schwartz. EDP et Applications
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 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 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 Stochastic and Partial Differential Equations. Analysis and Computations
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

97 Publications have been cited 1,673 times in 750 Documents Cited by Year
Nearly integrable infinite-dimensional Hamiltonian systems. Zbl 0784.58028
Kuksin, Sergej B.
166
1993
Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation. Zbl 0847.35130
Kuksin, Sergej; Pöschel, Jürgen
162
1996
KAM for the nonlinear Schrödinger equation. Zbl 1201.35177
Eliasson, L. Hakan; Kuksin, Sergei B.
128
2010
Analysis of Hamiltonian PDE’s. Zbl 0960.35001
Kuksin, S. B.
89
2000
Mathematics of two-dimensional turbulence. Zbl 1333.76003
Kuksin, Sergei; Shirikyan, Armen
86
2012
Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum. Zbl 0716.34083
Kuksin, S. B.
72
1987
On reducibility of Schrödinger equations with quasiperiodic in time potentials. Zbl 1176.35141
Eliasson, Håkan L.; Kuksin, Sergei B.
71
2009
Hamiltonian perturbations of infinite-dimensional linear systems with imaginary spectrum. Zbl 0631.34069
Kuksin, S. B.
62
1987
A KAM-theorem for equations of the Korteweg-de Vries type. Zbl 0920.35135
Kuksin, S. B.
46
1998
Stochastic dissipative PDE’s and Gibbs measures. Zbl 0974.60046
Kuksin, Sergei; Shirikyan, Armen
43
2000
KAM for the nonlinear beam equation. Zbl 1370.35214
Eliasson, L. Hakan; Grébert, Benoît; Kuksin, Sergei B.
41
2016
A coupling approach to randomly forced nonlinear PDE’s. I. Zbl 0991.60056
Kuksin, Sergei; Shirikyan, Armen
38
2001
Coupling approach to white-forced nonlinear PDEs. Zbl 1021.37044
Kuksin, Sergei; Shirikyan, Armen
35
2002
Ergodicity for the randomly forced 2D Navier-Stokes equations. Zbl 1013.37046
Kuksin, Sergei; Shirikyan, Armen
28
2001
The Eulerian limit for 2D statistical hydrodynamics. Zbl 1157.76319
Kuksin, Sergei B.
26
2004
On small-denominators equations with large variable coefficients. Zbl 0886.35044
Kuksin, Sergej B.
24
1997
Perturbation of quasiperiodic solutions of infinite-dimensional Hamiltonian systems. Zbl 0667.58060
Kuksin, S. B.
23
1989
Randomly forced CGL equation: stationary measures and the inviscid limit. Zbl 1047.35061
Kuksin, Sergei; Shirikyan, Armen
21
2004
Khasminskii-Whitham averaging for randomly perturbed KdV equation. Zbl 1148.35077
Kuksin, Sergei B.; Piatnitski, Andrey L.
20
2008
On the inclusion of analytic symplectic maps in analytic Hamiltonian flows and its applications. Zbl 0797.58025
Kuksin, Sergei; Pöschel, Jürgen
19
1994
Infinite-dimensional symplectic capacities and a squeezing theorem for Hamiltonian PDE’s. Zbl 0827.35121
Kuksin, Sergej B.
18
1995
Vey theorem in infinite dimensions and its application to KdV. Zbl 1193.37076
Kuksin, Sergei; Perelman, Galina
18
2010
Random kick-forced 3D Navier-Stokes equations in a thin domain. Zbl 1133.76015
Chueshov, Igor; Kuksin, Sergei
17
2008
Oscillation in space-periodic nonlinear Schrödinger equations. Zbl 0874.35113
Kuksin, S. B.
16
1997
Randomly forced nonlinear PDEs and statistical hydrodynamics in 2 space dimensions. Zbl 1099.35083
Kuksin, Sergei B.
16
2006
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.
15
2007
Damped-driven KdV and effective equations for long-time behaviour of its solutions. Zbl 1231.35205
Kuksin, Sergei B.
15
2010
Stochastic 3D Navier-Stokes equations in a thin domain and its \(\alpha \)-approximation. Zbl 1143.76422
Chueshov, Igor; Kuksin, Sergei
15
2008
Fifteen years of KAM for PDE. Zbl 1067.37110
Kuksin, Sergei B.
14
2004
The nonlinear Klein-Gordon equation on an interval as a perturbed sine-Gordon equation. Zbl 0842.35099
Bobenko, Alexander I.; Kuksin, Sergej B.
13
1995
Spectral properties of solutions for nonlinear PDEs in the turbulent regime. Zbl 0929.35145
Kuksin, S. B.
13
1999
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
A coupling approach to randomly forced nonlinear PDE’s. II. Zbl 1010.60066
Kuksin, Sergei; Piatniski, Andrey; Shirikyan, Armen
12
2002
Four lectures on KAM for the nonlinear Schrödinger equation. Zbl 1140.37021
Eliasson, L. H.; Kuksin, S. B.
12
2008
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.
11
1989
The KdV equation under periodic boundary conditions and its perturbations. Zbl 1301.35132
Guan, Huang; Kuksin, Sergei
11
2014
KAM theory and the 3D Euler equation. Zbl 1303.37035
Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel
10
2014
On random attractors for mixing type systems. Zbl 1086.37027
Kuksin, S. B.; Shirikyan, A.
10
2004
Perturbation of conditionally periodic solutions of infinite-dimensional Hamiltonian systems. Zbl 0662.58036
Kuksin, S. B.
9
1988
Hölder estimates for solutions of parabolic SPDEs. Zbl 1038.60058
Kuksin, S. B.; Nadirashvili, N. S.; Pyatnitskij, A. L.
9
2002
Infinite Toeplitz-Lipschitz matrices and operators. Zbl 1140.15025
Eliasson, H. L.; Kuksin, S. B.
9
2008
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
On squeezing and flow of energy for nonlinear wave equations. Zbl 0834.35086
Kuksin, S. B.
8
1995
On turbulence in nonlinear Schrödinger equations. Zbl 0912.35143
Kuksin, S. B.
8
1997
Weakly nonlinear stochastic CGL equations. Zbl 1280.35144
Kuksin, Sergei B.
8
2013
Exponential mixing for a class of dissipative PDEs with bounded degenerate noise. Zbl 1442.35437
Kuksin, Sergei; Nersesyan, Vahagn; Shirikyan, Armen
8
2020
Elements of a qualitative theory of Hamiltonian PDEs. Zbl 0967.35123
Kuksin, Sergei B.
7
1998
On distribution of energy and vorticity for solutions of 2D Navier-Stokes equation with small viscosity. Zbl 1168.35034
Kuksin, Sergei B.
7
2008
Growth and oscillations of solutions of nonlinear Schrödinger equation. Zbl 0862.35112
Kuksin, Sergei B.
6
1996
On the inclusion of an almost integrable analytic symplectomorphism into a Hamiltonian flow. Zbl 0931.37030
Kuksin, Sergei B.
6
1993
Stochastic CGL equations without linear dispersion in any space dimension. Zbl 1287.60093
Kuksin, Sergei; Nersesyan, Vahagn
6
2013
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
Eulerian limit for 2D Navier-Stokes equation and damped/driven KdV equation as its model. Zbl 1161.35461
Kuksin, S. B.
6
2007
Some limiting properties of randomly forced two-dimensional Navier-Stokes equations. Zbl 1060.35106
Kuksin, Sergei; Shirikyan, Armen
6
2003
Derivation of a wave kinetic equation from the resonant-averaged stochastic NLS equation. Zbl 1364.35336
Kuksin, Sergei; Maiocchi, Alberto
6
2015
Diffeomorphisms of functional spaces corresponding to quasilinear parabolic equations. Zbl 0501.35046
Kuksin, S. B.
5
1982
KAM-theory for partial differential equations. Zbl 0821.35130
Kuksin, S. B.
5
1994
Stochastic nonlinear Schrödinger equation. I: A priori estimates. Zbl 0984.60070
Kuksin, S. B.
5
1999
Ergodic theorems for 2D statistical hydrodynamics. Zbl 1030.37054
Kuksin, Sergei B.
5
2002
Perturbations of the harmonic map equation. Zbl 1063.58012
Kappeler, T.; Kuksin, S.; Schroeder, V.
5
2003
A family of balance relations for the two-dimensional Navier-Stokes equations with random forcing. Zbl 1064.76027
Kuksin, Sergei; Penrose, Oliver
4
2005
Time-averaging for weakly nonlinear CGL equations with arbitrary potentials. Zbl 1331.35331
Huang, Guan; Kuksin, Sergei; Maiocchi, Alberto
4
2015
Asymptotic expansions for some integrals of quotients with degenerated divisors. Zbl 1382.28005
Kuksin, Sergei
4
2017
Resonant averaging for small-amplitude solutions of stochastic nonlinear Schrödinger equations. Zbl 1391.35437
Kuksin, Sergei; Maiocchi, Alberto
4
2018
An application of monotone semigroups in the theory of perfect elastoplasticity. Zbl 0513.73039
Kuksin, S. B.
3
1982
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
An infinitesimal Liouville-Arnold theorem as a criterion of reducibility for variational Hamiltonian equations. Zbl 0769.58022
Kuksin, Sergej B.
3
1992
Strong nonresonance of Schrödinger operators and an averaging theorem. Zbl 0885.35119
Kappeler, T.; Kuksin, S.
3
1995
Remarks on the balance relations for the two-dimensional Navier-Stokes equation with random forcing. Zbl 1089.76013
Kuksin, Sergei B.
3
2006
Hamiltonian PDEs. (With an appendix by Dario Bambusi). Zbl 1130.37392
Kuksin, Sergei B.
3
2006
The limit of small Rossby numbers for randomly forced quasi-geostrophic equation on \(\beta\)-plane. Zbl 1327.35462
Kuksin, Sergei; Maiocchi, Alberto
3
2015
Quasi-linear elliptic differential equations for mappings of manifolds. II. Zbl 1232.58005
Kokarev, Gerasim; Kuksin, Sergei
3
2007
Reducible equations in variations and perturbations of invariant tori of Hamiltonian systems. Zbl 0684.58013
Kuksin, S. B.
2
1989
Double-periodic solutions of nonlinear Cauchy-Riemann equations. Zbl 0855.58048
Kuksin, Sergej B.
2
1996
On quantum averaging, quantum KAM, and quantum diffusion. Zbl 1271.81066
Kuksin, S. B.; Neishtadt, A. I.
2
2013
An averaging theorem for distributed conservative systems and its application to von Kármán’s equations. Zbl 0722.73039
Kuksin, S. B.
2
1989
Conditions on a discontinuity of solutions of the Prandtl-Reuss equations. Zbl 0584.73040
Kuksin, S. B.
2
1984
Quasilinear elliptic equations and Fredholm manifolds. Zbl 0599.35041
Vishik, M. I.; Kuksin, S. B.
2
1985
Perturbations of quasilinear elliptic equations and Fredholm manifolds. Zbl 0625.35029
Vishik, M. I.; Kuksin, S. B.
2
1987
Global, local and dense non-mixing of the 3D Euler equation. Zbl 1451.35122
Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel
2
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
2
2020
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.
2
2002
Asymptotic properties of integrals of quotients when the numerator oscillates and the denominator degenerates. Zbl 07116939
Kuksin, Sergei
2
2018
KdV Hamiltonian as a function of actions. Zbl 1351.37243
Korotyaev, Evgeny L.; Kuksin, Sergei
2
2016
Conservative perturbations of infinite-dimensional linear systems depending on a vector parameter. Zbl 0688.58033
Kuksin, S. B.
1
1989
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
Seminar on dynamical systems. Euler International Mathematical Institut, St. Petersburg, Russia, October 14-25 and November 18-29, 1991. Zbl 0782.00078
Kuksin, S. (ed.); Lazutkin, V. (ed.); Pöschel, J. (ed.)
1
1994
Analytic dependence of the solutions of some monotone parabolic equations on the initial conditions. Zbl 0389.35040
Kuksin, S. B.
1
1978
On the character of dependence of the solutions to nonlinear parabolic equations on initial conditions. Zbl 0433.35033
Kuksin, S. B.
1
1979
On quasilinear parabolic equations. Zbl 0448.35052
Kuksin, S. B.
1
1980
On quasilinear parabolic equations. Zbl 0466.35045
Kuksin, S. B.
1
1980
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
Dissipative perturbations of KdV. Zbl 1204.35147
Kuksin, Sergei B.
1
2010
The control problem for the process of elasto-plastic deformation. Zbl 0596.73016
Kuksin, S. B.
1
1983
Generalized solutions of the dynamic problem of perfect elastoplasticity. Zbl 0604.73027
Kuksin, S. B.
1
1985
Analyticity of solutions for quasilinear wave equations and other quasilinear systems. Zbl 1330.35261
Kuksin, Sergei; Nadirashvili, Nikolai
1
2014
Exponential mixing for a class of dissipative PDEs with bounded degenerate noise. Zbl 1442.35437
Kuksin, Sergei; Nersesyan, Vahagn; Shirikyan, Armen
8
2020
Global, local and dense non-mixing of the 3D Euler equation. Zbl 1451.35122
Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel
2
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
2
2020
Resonant averaging for small-amplitude solutions of stochastic nonlinear Schrödinger equations. Zbl 1391.35437
Kuksin, Sergei; Maiocchi, Alberto
4
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
4
2017
KAM for the nonlinear beam equation. Zbl 1370.35214
Eliasson, L. Hakan; Grébert, Benoît; Kuksin, Sergei B.
41
2016
KdV Hamiltonian as a function of actions. Zbl 1351.37243
Korotyaev, Evgeny L.; Kuksin, Sergei
2
2016
Derivation of a wave kinetic equation from the resonant-averaged stochastic NLS equation. Zbl 1364.35336
Kuksin, Sergei; Maiocchi, Alberto
6
2015
Time-averaging for weakly nonlinear CGL equations with arbitrary potentials. Zbl 1331.35331
Huang, Guan; Kuksin, Sergei; Maiocchi, Alberto
4
2015
The limit of small Rossby numbers for randomly forced quasi-geostrophic equation on \(\beta\)-plane. Zbl 1327.35462
Kuksin, Sergei; Maiocchi, Alberto
3
2015
The KdV equation under periodic boundary conditions and its perturbations. Zbl 1301.35132
Guan, Huang; Kuksin, Sergei
11
2014
KAM theory and the 3D Euler equation. Zbl 1303.37035
Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel
10
2014
Analyticity of solutions for quasilinear wave equations and other quasilinear systems. Zbl 1330.35261
Kuksin, Sergei; Nadirashvili, Nikolai
1
2014
Weakly nonlinear stochastic CGL equations. Zbl 1280.35144
Kuksin, Sergei B.
8
2013
Stochastic CGL equations without linear dispersion in any space dimension. Zbl 1287.60093
Kuksin, Sergei; Nersesyan, Vahagn
6
2013
On quantum averaging, quantum KAM, and quantum diffusion. Zbl 1271.81066
Kuksin, S. B.; Neishtadt, A. I.
2
2013
Mathematics of two-dimensional turbulence. Zbl 1333.76003
Kuksin, Sergei; Shirikyan, Armen
86
2012
KAM for the nonlinear Schrödinger equation. Zbl 1201.35177
Eliasson, L. Hakan; Kuksin, Sergei B.
128
2010
Vey theorem in infinite dimensions and its application to KdV. Zbl 1193.37076
Kuksin, Sergei; Perelman, Galina
18
2010
Damped-driven KdV and effective equations for long-time behaviour of its solutions. Zbl 1231.35205
Kuksin, Sergei B.
15
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.
71
2009
Khasminskii-Whitham averaging for randomly perturbed KdV equation. Zbl 1148.35077
Kuksin, Sergei B.; Piatnitski, Andrey L.
20
2008
Random kick-forced 3D Navier-Stokes equations in a thin domain. Zbl 1133.76015
Chueshov, Igor; Kuksin, Sergei
17
2008
Stochastic 3D Navier-Stokes equations in a thin domain and its \(\alpha \)-approximation. Zbl 1143.76422
Chueshov, Igor; Kuksin, Sergei
15
2008
Four lectures on KAM for the nonlinear Schrödinger equation. Zbl 1140.37021
Eliasson, L. H.; Kuksin, S. B.
12
2008
Infinite Toeplitz-Lipschitz matrices and operators. Zbl 1140.15025
Eliasson, H. L.; Kuksin, S. B.
9
2008
On distribution of energy and vorticity for solutions of 2D Navier-Stokes equation with small viscosity. Zbl 1168.35034
Kuksin, Sergei B.
7
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.
15
2007
Eulerian limit for 2D Navier-Stokes equation and damped/driven KdV equation as its model. Zbl 1161.35461
Kuksin, S. B.
6
2007
Quasi-linear elliptic differential equations for mappings of manifolds. II. Zbl 1232.58005
Kokarev, Gerasim; Kuksin, Sergei
3
2007
Randomly forced nonlinear PDEs and statistical hydrodynamics in 2 space dimensions. Zbl 1099.35083
Kuksin, Sergei B.
16
2006
Remarks on the balance relations for the two-dimensional Navier-Stokes equation with random forcing. Zbl 1089.76013
Kuksin, Sergei B.
3
2006
Hamiltonian PDEs. (With an appendix by Dario Bambusi). Zbl 1130.37392
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.
26
2004
Randomly forced CGL equation: stationary measures and the inviscid limit. Zbl 1047.35061
Kuksin, Sergei; Shirikyan, Armen
21
2004
Fifteen years of KAM for PDE. Zbl 1067.37110
Kuksin, Sergei B.
14
2004
On random attractors for mixing type systems. Zbl 1086.37027
Kuksin, S. B.; Shirikyan, A.
10
2004
Some limiting properties of randomly forced two-dimensional Navier-Stokes equations. Zbl 1060.35106
Kuksin, Sergei; Shirikyan, Armen
6
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
35
2002
A coupling approach to randomly forced nonlinear PDE’s. II. Zbl 1010.60066
Kuksin, Sergei; Piatniski, Andrey; Shirikyan, Armen
12
2002
Hölder estimates for solutions of parabolic SPDEs. Zbl 1038.60058
Kuksin, S. B.; Nadirashvili, N. S.; Pyatnitskij, A. L.
9
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.
2
2002
A coupling approach to randomly forced nonlinear PDE’s. I. Zbl 0991.60056
Kuksin, Sergei; Shirikyan, Armen
38
2001
Ergodicity for the randomly forced 2D Navier-Stokes equations. Zbl 1013.37046
Kuksin, Sergei; Shirikyan, Armen
28
2001
Analysis of Hamiltonian PDE’s. Zbl 0960.35001
Kuksin, S. B.
89
2000
Stochastic dissipative PDE’s and Gibbs measures. Zbl 0974.60046
Kuksin, Sergei; Shirikyan, Armen
43
2000
Spectral properties of solutions for nonlinear PDEs in the turbulent regime. Zbl 0929.35145
Kuksin, S. B.
13
1999
Stochastic nonlinear Schrödinger equation. I: A priori estimates. Zbl 0984.60070
Kuksin, S. B.
5
1999
A KAM-theorem for equations of the Korteweg-de Vries type. Zbl 0920.35135
Kuksin, S. B.
46
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.
24
1997
Oscillation in space-periodic nonlinear Schrödinger equations. Zbl 0874.35113
Kuksin, S. B.
16
1997
On turbulence in nonlinear Schrödinger equations. Zbl 0912.35143
Kuksin, S. B.
8
1997
Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation. Zbl 0847.35130
Kuksin, Sergej; Pöschel, Jürgen
162
1996
Growth and oscillations of solutions of nonlinear Schrödinger equation. Zbl 0862.35112
Kuksin, Sergei B.
6
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.
18
1995
The nonlinear Klein-Gordon equation on an interval as a perturbed sine-Gordon equation. Zbl 0842.35099
Bobenko, Alexander I.; Kuksin, Sergej B.
13
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
19
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
Kuksin, S.; Lazutkin, V.; Pöschel, J.
1
1994
Nearly integrable infinite-dimensional Hamiltonian systems. Zbl 0784.58028
Kuksin, Sergej B.
166
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.
6
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
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
An infinitesimal Liouville-Arnold theorem as a criterion of reducibility for variational Hamiltonian equations. Zbl 0769.58022
Kuksin, Sergej B.
3
1992
Perturbation of quasiperiodic solutions of infinite-dimensional Hamiltonian systems. Zbl 0667.58060
Kuksin, S. B.
23
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.
11
1989
Reducible equations in variations and perturbations of invariant tori of Hamiltonian systems. Zbl 0684.58013
Kuksin, S. B.
2
1989
An averaging theorem for distributed conservative systems and its application to von Kármán’s equations. Zbl 0722.73039
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.
9
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.
72
1987
Hamiltonian perturbations of infinite-dimensional linear systems with imaginary spectrum. Zbl 0631.34069
Kuksin, S. B.
62
1987
Perturbations of quasilinear elliptic equations and Fredholm manifolds. Zbl 0625.35029
Vishik, M. I.; Kuksin, S. B.
2
1987
Quasilinear elliptic equations and Fredholm manifolds. Zbl 0599.35041
Vishik, M. I.; Kuksin, S. B.
2
1985
Generalized solutions of the dynamic problem of perfect elastoplasticity. Zbl 0604.73027
Kuksin, S. B.
1
1985
Conditions on a discontinuity of solutions of the Prandtl-Reuss equations. Zbl 0584.73040
Kuksin, S. B.
2
1984
The control problem for the process of elasto-plastic deformation. Zbl 0596.73016
Kuksin, S. B.
1
1983
Diffeomorphisms of functional spaces corresponding to quasilinear parabolic equations. Zbl 0501.35046
Kuksin, S. B.
5
1982
An application of monotone semigroups in the theory of perfect elastoplasticity. Zbl 0513.73039
Kuksin, S. B.
3
1982
On quasilinear parabolic equations. Zbl 0448.35052
Kuksin, S. B.
1
1980
On quasilinear parabolic equations. Zbl 0466.35045
Kuksin, S. B.
1
1980
On the character of dependence of the solutions to nonlinear parabolic equations on initial conditions. Zbl 0433.35033
Kuksin, S. B.
1
1979
Analytic dependence of the solutions of some monotone parabolic equations on the initial conditions. Zbl 0389.35040
Kuksin, S. B.
1
1978
all top 5

Cited by 603 Authors

44 Kuksin, Sergeĭ B.
28 Berti, Massimiliano
28 Geng, Jiansheng
27 Procesi, Michela
21 Montalto, Riccardo
21 Xu, Junxiang
20 Grébert, Benoît
19 Bambusi, Dario
19 Kappeler, Thomas
17 Xu, XinDong
17 Yuan, Xiaoping
16 Nersesyan, Vahagn
15 Si, Jianguo
14 Shirikyan, Armen R.
12 Shi, Yanling
12 You, Jiangong
11 Glatt-Holtz, Nathan E.
11 Maspero, Alberto
10 Gao, Meina
10 Li, Yong
10 Liu, Jianjun
10 Mattingly, Jonathan Christopher
9 Baldi, Pietro
9 Gentile, Guido
8 Biasco, Luca
8 Bolle, Philippe
8 Cong, Hongzi
8 Flandoli, Franco
8 Topalov, Peter J.
7 Boritchev, Alexandre
7 Bourgain, Jean
7 Da Prato, Giuseppe
7 Debussche, Arnaud
7 Hairer, Martin
7 Lou, Zhaowei
7 Mi, Lufang
6 Bessaih, Hakima
6 Colliander, James E.
6 Corsi, Livia
6 Dymov, Andrey V.
6 Faou, Erwan
6 Giuliani, Filippo
6 Guardia, Marcel
6 Liang, Zhenguo
6 Razafimandimby, Paul André
6 Rui, Jie
6 Wei, Jinlong
6 Xu, Lihu
6 Yan, Dongfeng
5 Bakhtin, Yuri Yu.
5 Bedrossian, Jacob
5 Coti Zelati, Michele
5 Feola, Roberto
5 Froeschlé, Claude
5 Gao, Yixian
5 Gess, Benjamin
5 Hani, Zaher
5 Haus, Emanuele
5 Kokarev, Gerasim
5 Lega, Elena
5 Li, Dingshi
5 Richards, Geordie
5 Staffilani, Gigliola
5 Thomann, Laurent
5 Wang, Wei-Min
5 Zhang, Dongfeng
4 Barbu, Viorel
4 Bikbaev, Ramil’ F.
4 Cerrai, Sandra
4 Delort, Jean-Marc
4 Eliasson, L. Hakan
4 Földes, Juraj
4 Gauckler, Ludwig J.
4 Guzzo, Massimiliano
4 Jakšić, Vojkan
4 Ji, Shuguan
4 Keel, Markus
4 Kukavica, Igor
4 Li, Fuzhi
4 Luo, Dejun
4 Maiocchi, Alberto Mario
4 Paturel, Eric
4 Peralta-Salas, Daniel
4 Pillet, Claude-Alain
4 Pöschel, Jürgen
4 Ren, Xiufang
4 Schaad, Beat
4 Scheutzow, Michael K. R.
4 Shi, Guanghua
4 Si, Wen
4 Šverák, Vladimír
4 Sy, Mouhamadou
4 Takaoka, Hideo
4 Tao, Terence
4 Wang, Wei
4 Wu, Jian
4 Wu, Yuan
4 Yi, Yingfei
4 Zhang, Kangkang
4 Zhao, Zhiyan
...and 503 more Authors
all top 5

Cited in 165 Serials

65 Communications in Mathematical Physics
59 Journal of Differential Equations
33 Journal of Dynamics and Differential Equations
29 Journal of Mathematical Physics
22 Journal of Mathematical Analysis and Applications
20 Archive for Rational Mechanics and Analysis
20 Discrete and Continuous Dynamical Systems
19 Physica D
15 Stochastic Processes and their Applications
14 Journal of Statistical Physics
14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
12 Journal of Functional Analysis
11 Nonlinearity
11 Geometric and Functional Analysis. GAFA
9 SIAM Journal on Mathematical Analysis
9 Discrete and Continuous Dynamical Systems. Series B
8 Advances in Mathematics
8 Communications in Partial Differential Equations
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Journal of Nonlinear Science
8 Communications on Pure and Applied Analysis
8 Stochastic and Partial Differential Equations. Analysis and Computations
7 Probability Theory and Related Fields
7 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
6 Journal d’Analyse Mathématique
6 Proceedings of the American Mathematical Society
6 Séminaire Laurent Schwartz. EDP et Applications
5 Applicable Analysis
5 Communications on Pure and Applied Mathematics
5 Journal of Applied Mathematics and Mechanics
5 Mathematical Notes
5 The Annals of Probability
5 Duke Mathematical Journal
5 Inventiones Mathematicae
5 Memoirs of the American Mathematical Society
5 Transactions of the American Mathematical Society
5 Chinese Annals of Mathematics. Series B
5 Bulletin of the American Mathematical Society. New Series
5 Journal of Mathematical Sciences (New York)
5 Taiwanese Journal of Mathematics
5 Journal of Dynamical and Control Systems
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Bollettino dell’Unione Matematica Italiana
4 Russian Mathematical Surveys
4 Celestial Mechanics and Dynamical Astronomy
4 NoDEA. Nonlinear Differential Equations and Applications
4 Journal of the European Mathematical Society (JEMS)
4 Acta Mathematica Sinica. English Series
4 Annales Henri Poincaré
4 Journal of Evolution Equations
4 Proceedings of the Steklov Institute of Mathematics
4 Science China. Mathematics
3 Reviews in Mathematical Physics
3 Acta Mathematica
3 Applied Mathematics and Optimization
3 Mathematische Zeitschrift
3 Numerische Mathematik
3 Journal of the American Mathematical Society
3 The Annals of Applied Probability
3 Differential Geometry and its Applications
3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
3 Russian Journal of Mathematical Physics
3 Mathematical Physics, Analysis and Geometry
3 Chaos
3 Regular and Chaotic Dynamics
3 Qualitative Theory of Dynamical Systems
3 Dynamical Systems
3 Journal of Fixed Point Theory and Applications
3 Frontiers of Mathematics in China
3 Annals of PDE
2 Computers & Mathematics with Applications
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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 Publications Mathématiques
2 Journal of Soviet Mathematics
2 Stochastic Analysis and Applications
2 Acta Applicandae Mathematicae
2 Annals of Global Analysis and Geometry
2 Science in China. Series A
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Indagationes Mathematicae. New Series
2 Doklady Mathematics
2 Infinite Dimensional Analysis, Quantum Probability and Related Topics
2 Communications in Nonlinear Science and Numerical Simulation
2 Communications in Contemporary Mathematics
2 Journal of High Energy Physics
2 Nonlinear Analysis. Real World Applications
2 Foundations of Computational Mathematics
2 Stochastics and Dynamics
2 Advances in Difference Equations
2 Analysis & PDE
2 Journal of Applied Analysis and Computation
2 Forum of Mathematics, Sigma
1 General Relativity and Gravitation
1 Journal of Computational Physics
1 Mathematical Methods in the Applied Sciences
...and 65 more Serials
all top 5

Cited in 38 Fields

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

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