×

zbMATH — the first resource for mathematics

Kuksin, Sergeĭ B.

Compute Distance To:
Author ID: kuksin.sergei-b Recent zbMATH articles by "Kuksin, Sergeĭ B."
Published as: Kuksin, S.; Kuksin, S. B.; Kuksin, Sergei; Kuksin, Sergei B.; Kuksin, Sergej; Kuksin, Sergej B.; Kuksin, Sergeï B.; Kuksin, Sergeĭ B.
Homepage: https://webusers.imj-prg.fr/~sergei.kuksin/
External Links: MGP · Math-Net.Ru · Wikidata · GND
Documents Indexed: 129 Publications since 1978, including 5 Books
Biographic References: 1 Publication
all top 5

Serials

7 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
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 Journal of Nonlinear Science
1 Bulletin des Sciences Mathématiques
1 Discrete and Continuous Dynamical Systems
1 Documenta Mathematica
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 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 Séminaire Laurent Schwartz. EDP et Applications
1 Progress in Nonlinear Differential Equations and Their Applications
1 Zurich Lectures in Advanced Mathematics

Publications by Year

Citations contained in zbMATH

96 Publications have been cited 1,535 times in 682 Documents Cited by Year
Nearly integrable infinite-dimensional Hamiltonian systems. Zbl 0784.58028
Kuksin, Sergej B.
169
1993
Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation. Zbl 0847.35130
Kuksin, Sergej; Pöschel, Jürgen
149
1996
KAM for the nonlinear Schrödinger equation. Zbl 1201.35177
Eliasson, L. Hakan; Kuksin, Sergei B.
114
2010
Analysis of Hamiltonian PDE’s. Zbl 0960.35001
Kuksin, S. B.
84
2000
Mathematics of two-dimensional turbulence. Zbl 1333.76003
Kuksin, Sergei; Shirikyan, Armen
69
2012
Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum. Zbl 0716.34083
Kuksin, S. B.
65
1987
On reducibility of Schrödinger equations with quasiperiodic in time potentials. Zbl 1176.35141
Eliasson, Håkan L.; Kuksin, Sergei B.
63
2009
Hamiltonian perturbations of infinite-dimensional linear systems with imaginary spectrum. Zbl 0631.34069
Kuksin, S. B.
63
1987
Stochastic dissipative PDE’s and Gibbs measures. Zbl 0974.60046
Kuksin, Sergei; Shirikyan, Armen
39
2000
A KAM-theorem for equations of the Korteweg-de Vries type. Zbl 0920.35135
Kuksin, S. B.
38
1998
A coupling approach to randomly forced nonlinear PDE’s. I. Zbl 0991.60056
Kuksin, Sergei; Shirikyan, Armen
36
2001
Coupling approach to white-forced nonlinear PDEs. Zbl 1021.37044
Kuksin, Sergei; Shirikyan, Armen
32
2002
KAM for the nonlinear beam equation. Zbl 1370.35214
Eliasson, L. Hakan; Grébert, Benoît; Kuksin, Sergei B.
31
2016
Ergodicity for the randomly forced 2D Navier-Stokes equations. Zbl 1013.37046
Kuksin, Sergei; Shirikyan, Armen
27
2001
On small-denominators equations with large variable coefficients. Zbl 0886.35044
Kuksin, Sergej B.
23
1997
Perturbation of quasiperiodic solutions of infinite-dimensional Hamiltonian systems. Zbl 0667.58060
Kuksin, S. B.
23
1989
The Eulerian limit for 2D statistical hydrodynamics. Zbl 1157.76319
Kuksin, Sergei B.
22
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
Randomly forced CGL equation: stationary measures and the inviscid limit. Zbl 1047.35061
Kuksin, Sergei; Shirikyan, Armen
18
2004
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
16
2010
Randomly forced nonlinear PDEs and statistical hydrodynamics in 2 space dimensions. Zbl 1099.35083
Kuksin, Sergei B.
16
2006
Damped-driven KdV and effective equations for long-time behaviour of its solutions. Zbl 1231.35205
Kuksin, Sergei B.
15
2010
Four lectures on KAM for the nonlinear Schrödinger equation. Zbl 1140.37021
Eliasson, L. H.; Kuksin, S. B.
15
2008
Stochastic 3D Navier-Stokes equations in a thin domain and its \(\alpha \)-approximation. Zbl 1143.76422
Chueshov, Igor; Kuksin, Sergei
14
2008
Oscillation in space-periodic nonlinear Schrödinger equations. Zbl 0874.35113
Kuksin, S. B.
14
1997
Random kick-forced 3D Navier-Stokes equations in a thin domain. Zbl 1133.76015
Chueshov, Igor; Kuksin, Sergei
13
2008
Spectral properties of solutions for nonlinear PDEs in the turbulent regime. Zbl 0929.35145
Kuksin, S. B.
13
1999
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
A coupling approach to randomly forced nonlinear PDE’s. II. Zbl 1010.60066
Kuksin, Sergei; Piatniski, Andrey; Shirikyan, Armen
12
2002
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.
11
2007
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.
11
1988
The KdV equation under periodic boundary conditions and its perturbations. Zbl 1301.35132
Guan, Huang; Kuksin, Sergei
10
2014
On random attractors for mixing type systems. Zbl 1086.37027
Kuksin, S. B.; Shirikyan, A.
10
2004
Fifteen years of KAM for PDE. Zbl 1067.37110
Kuksin, Sergei B.
10
2004
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.
10
1993
Infinite Toeplitz-Lipschitz matrices and operators. Zbl 1140.15025
Eliasson, H. L.; Kuksin, S. B.
9
2008
KAM theory and the 3D Euler equation. Zbl 1303.37035
Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel
8
2014
Weakly nonlinear stochastic CGL equations. Zbl 1280.35144
Kuksin, Sergei B.
8
2013
On turbulence in nonlinear Schrödinger equations. Zbl 0912.35143
Kuksin, S. B.
8
1997
On squeezing and flow of energy for nonlinear wave equations. Zbl 0834.35086
Kuksin, S. B.
8
1995
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.
8
1989
On distribution of energy and vorticity for solutions of 2D Navier-Stokes equation with small viscosity. Zbl 1168.35034
Kuksin, Sergei B.
7
2008
Hölder estimates for solutions of parabolic SPDEs. Zbl 1038.60058
Kuksin, S. B.; Nadirashvili, N. S.; Pyatnitskij, A. L.
7
2002
Elements of a qualitative theory of Hamiltonian PDEs. Zbl 0967.35123
Kuksin, Sergei B.
7
1998
Perturbation of conditionally periodic solutions of infinite-dimensional Hamiltonian systems. Zbl 0662.58036
Kuksin, S. B.
7
1988
Stochastic CGL equations without linear dispersion in any space dimension. Zbl 1287.60093
Kuksin, Sergei; Nersesyan, Vahagn
6
2013
Eulerian limit for 2D Navier-Stokes equation and damped/driven KdV equation as its model. Zbl 1161.35461
Kuksin, S. B.
6
2007
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
Some limiting properties of randomly forced two-dimensional Navier-Stokes equations. Zbl 1060.35106
Kuksin, Sergei; Shirikyan, Armen
5
2003
Perturbations of the harmonic map equation. Zbl 1063.58012
Kappeler, T.; Kuksin, S.; Schroeder, V.
5
2003
Ergodic theorems for 2D statistical hydrodynamics. Zbl 1030.37054
Kuksin, Sergei B.
5
2002
KAM-theory for partial differential equations. Zbl 0821.35130
Kuksin, S. B.
5
1994
Resonant averaging for small-amplitude solutions of stochastic nonlinear Schrödinger equations. Zbl 1391.35437
Kuksin, Sergei; Maiocchi, Alberto
4
2018
Derivation of a wave kinetic equation from the resonant-averaged stochastic NLS equation. Zbl 1364.35336
Kuksin, Sergei; Maiocchi, Alberto
4
2015
A family of balance relations for the two-dimensional Navier-Stokes equations with random forcing. Zbl 1064.76027
Kuksin, Sergei; Penrose, Oliver
4
2005
Stochastic nonlinear Schrödinger equation. I: A priori estimates. Zbl 0984.60070
Kuksin, S. B.
4
1999
Growth and oscillations of solutions of nonlinear Schrödinger equation. Zbl 0862.35112
Kuksin, Sergei B.
4
1996
Diffeomorphisms of functional spaces corresponding to quasilinear parabolic equations. Zbl 0501.35046
Kuksin, S. B.
4
1982
Exponential mixing for a class of dissipative PDEs with bounded degenerate noise. Zbl 1442.35437
Kuksin, Sergei; Nersesyan, Vahagn; Shirikyan, Armen
3
2020
Time-averaging for weakly nonlinear CGL equations with arbitrary potentials. Zbl 1331.35331
Huang, Guan; Kuksin, Sergei; Maiocchi, Alberto
3
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
Quasi-linear elliptic differential equations for mappings of manifolds. II. Zbl 1232.58005
Kokarev, Gerasim; Kuksin, Sergei
3
2007
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
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
Strong nonresonance of Schrödinger operators and an averaging theorem. Zbl 0885.35119
Kappeler, T.; Kuksin, S.
3
1995
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 application of monotone semigroups in the theory of perfect elastoplasticity. Zbl 0513.73039
Kuksin, S. B.
3
1982
Asymptotic expansions for some integrals of quotients with degenerated divisors. Zbl 1382.28005
Kuksin, Sergei
2
2017
KdV Hamiltonian as a function of actions. Zbl 1351.37243
Korotyaev, Evgeny L.; Kuksin, Sergei
2
2016
On quantum averaging, quantum KAM, and quantum diffusion. Zbl 1271.81066
Kuksin, S. B.; Neishtadt, A. I.
2
2013
Lectures on Hamiltonian methods in nonlinear PDEs. Zbl 1123.37028
Kuksin, Sergei
2
2005
Double-periodic solutions of nonlinear Cauchy-Riemann equations. Zbl 0855.58048
Kuksin, Sergej B.
2
1996
An infinitesimal Liouville-Arnold theorem as a criterion of reducibility for variational Hamiltonian equations. Zbl 0769.58022
Kuksin, Sergej B.
2
1992
An averaging theorem for distributed conservative systems and its application to von Kármán’s equations. Zbl 0722.73039
Kuksin, S. B.
2
1989
Reducible equations in variations and perturbations of invariant tori of Hamiltonian systems. Zbl 0684.58013
Kuksin, S. B.
2
1989
Quasilinear elliptic equations and Fredholm manifolds. Zbl 0599.35041
Vishik, M. I.; Kuksin, S. B.
2
1985
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
1
2018
Analyticity of solutions for quasilinear wave equations and other quasilinear systems. Zbl 1330.35261
Kuksin, Sergei; Nadirashvili, Nikolai
1
2014
Dissipative perturbations of KdV. Zbl 1204.35147
Kuksin, Sergei B.
1
2010
KAM for the nonlinear Schrödinger equation – a short presentation. Zbl 1174.37015
Eliasson, Hakan L.; Kuksin, Sergei B.
1
2008
Poincaré inequalities for maps with target manifold of negative curvature. Zbl 1093.53037
Kappeler, T.; Schroeder, V.; Kuksin, S.
1
2005
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
Conservative perturbations of infinite-dimensional linear systems depending on a vector parameter. Zbl 0688.58033
Kuksin, S. B.
1
1989
Perturbations of quasilinear elliptic equations and Fredholm manifolds. Zbl 0625.35029
Vishik, M. I.; Kuksin, S. B.
1
1987
Generalized solutions of the dynamic problem of perfect elastoplasticity. Zbl 0604.73027
Kuksin, S. B.
1
1985
The control problem for the process of elasto-plastic deformation. Zbl 0596.73016
Kuksin, S. B.
1
1983
On quasilinear parabolic equations. Zbl 0466.35045
Kuksin, S. B.
1
1980
On quasilinear parabolic equations. Zbl 0448.35052
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
Exponential mixing for a class of dissipative PDEs with bounded degenerate noise. Zbl 1442.35437
Kuksin, Sergei; Nersesyan, Vahagn; Shirikyan, Armen
3
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
1
2018
Asymptotic expansions for some integrals of quotients with degenerated divisors. Zbl 1382.28005
Kuksin, Sergei
2
2017
KAM for the nonlinear beam equation. Zbl 1370.35214
Eliasson, L. Hakan; Grébert, Benoît; Kuksin, Sergei B.
31
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
4
2015
Time-averaging for weakly nonlinear CGL equations with arbitrary potentials. Zbl 1331.35331
Huang, Guan; Kuksin, Sergei; Maiocchi, Alberto
3
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
10
2014
KAM theory and the 3D Euler equation. Zbl 1303.37035
Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel
8
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
69
2012
KAM for the nonlinear Schrödinger equation. Zbl 1201.35177
Eliasson, L. Hakan; Kuksin, Sergei B.
114
2010
Vey theorem in infinite dimensions and its application to KdV. Zbl 1193.37076
Kuksin, Sergei; Perelman, Galina
16
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.
63
2009
Khasminskii-Whitham averaging for randomly perturbed KdV equation. Zbl 1148.35077
Kuksin, Sergei B.; Piatnitski, Andrey L.
20
2008
Four lectures on KAM for the nonlinear Schrödinger equation. Zbl 1140.37021
Eliasson, L. H.; Kuksin, S. B.
15
2008
Stochastic 3D Navier-Stokes equations in a thin domain and its \(\alpha \)-approximation. Zbl 1143.76422
Chueshov, Igor; Kuksin, Sergei
14
2008
Random kick-forced 3D Navier-Stokes equations in a thin domain. Zbl 1133.76015
Chueshov, Igor; Kuksin, Sergei
13
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
KAM for the nonlinear Schrödinger equation – a short presentation. Zbl 1174.37015
Eliasson, Hakan L.; Kuksin, Sergei B.
1
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.
11
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
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
Lectures on Hamiltonian methods in nonlinear PDEs. Zbl 1123.37028
Kuksin, Sergei
2
2005
Poincaré inequalities for maps with target manifold of negative curvature. Zbl 1093.53037
Kappeler, T.; Schroeder, V.; Kuksin, S.
1
2005
The Eulerian limit for 2D statistical hydrodynamics. Zbl 1157.76319
Kuksin, Sergei B.
22
2004
Randomly forced CGL equation: stationary measures and the inviscid limit. Zbl 1047.35061
Kuksin, Sergei; Shirikyan, Armen
18
2004
On random attractors for mixing type systems. Zbl 1086.37027
Kuksin, S. B.; Shirikyan, A.
10
2004
Fifteen years of KAM for PDE. Zbl 1067.37110
Kuksin, Sergei B.
10
2004
Some limiting properties of randomly forced two-dimensional Navier-Stokes equations. Zbl 1060.35106
Kuksin, Sergei; Shirikyan, Armen
5
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
32
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.
7
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
A coupling approach to randomly forced nonlinear PDE’s. I. Zbl 0991.60056
Kuksin, Sergei; Shirikyan, Armen
36
2001
Ergodicity for the randomly forced 2D Navier-Stokes equations. Zbl 1013.37046
Kuksin, Sergei; Shirikyan, Armen
27
2001
Analysis of Hamiltonian PDE’s. Zbl 0960.35001
Kuksin, S. B.
84
2000
Stochastic dissipative PDE’s and Gibbs measures. Zbl 0974.60046
Kuksin, Sergei; Shirikyan, Armen
39
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.
4
1999
A KAM-theorem for equations of the Korteweg-de Vries type. Zbl 0920.35135
Kuksin, S. B.
38
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.
23
1997
Oscillation in space-periodic nonlinear Schrödinger equations. Zbl 0874.35113
Kuksin, S. B.
14
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
149
1996
Growth and oscillations of solutions of nonlinear Schrödinger equation. Zbl 0862.35112
Kuksin, Sergei B.
4
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. (ed.); Lazutkin, V. (ed.); Pöschel, J. (ed.)
1
1994
Nearly integrable infinite-dimensional Hamiltonian systems. Zbl 0784.58028
Kuksin, Sergej B.
169
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.
10
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.
2
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.
8
1989
An averaging theorem for distributed conservative systems and its application to von Kármán’s equations. Zbl 0722.73039
Kuksin, S. B.
2
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 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.
11
1988
Perturbation of conditionally periodic solutions of infinite-dimensional Hamiltonian systems. Zbl 0662.58036
Kuksin, S. B.
7
1988
Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum. Zbl 0716.34083
Kuksin, S. B.
65
1987
Hamiltonian perturbations of infinite-dimensional linear systems with imaginary spectrum. Zbl 0631.34069
Kuksin, S. B.
63
1987
Perturbations of quasilinear elliptic equations and Fredholm manifolds. Zbl 0625.35029
Vishik, M. I.; Kuksin, S. B.
1
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.
4
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 0466.35045
Kuksin, S. B.
1
1980
On quasilinear parabolic equations. Zbl 0448.35052
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

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

Cited in 157 Serials

62 Communications in Mathematical Physics
57 Journal of Differential Equations
27 Journal of Mathematical Physics
26 Journal of Dynamics and Differential Equations
24 Journal of Mathematical Analysis and Applications
20 Physica D
18 Discrete and Continuous Dynamical Systems
16 Archive for Rational Mechanics and Analysis
15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 Journal of Statistical Physics
13 Stochastic Processes and their Applications
12 Journal of Functional Analysis
11 Geometric and Functional Analysis. GAFA
10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
9 Nonlinearity
8 Journal of Nonlinear Science
7 Advances in Mathematics
7 Communications in Partial Differential Equations
7 SIAM Journal on Mathematical Analysis
7 Stochastic and Partial Differential Equations. Analysis and Computations
6 Journal d’Analyse Mathématique
6 Proceedings of the American Mathematical Society
6 Probability Theory and Related Fields
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Discrete and Continuous Dynamical Systems. Series B
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Communications on Pure and Applied Analysis
5 Applicable Analysis
5 Communications on Pure and Applied Mathematics
5 Journal of Applied Mathematics and Mechanics
5 Mathematical Notes
5 Duke Mathematical Journal
5 Inventiones Mathematicae
5 Memoirs of the American Mathematical Society
5 Chinese Annals of Mathematics. Series B
5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
5 Journal of Mathematical Sciences (New York)
5 Taiwanese Journal of Mathematics
5 Bollettino dell’Unione Matematica Italiana
4 Russian Mathematical Surveys
4 The Annals of Probability
4 Transactions of the American Mathematical Society
4 Bulletin of the American Mathematical Society. New Series
4 Celestial Mechanics and Dynamical Astronomy
4 Acta Mathematica Sinica. English Series
4 Journal of Dynamical and Control Systems
4 Annales Henri Poincaré
4 Proceedings of the Steklov Institute of Mathematics
4 Science China. Mathematics
4 Séminaire Laurent Schwartz. EDP et Applications
3 Reviews in Mathematical Physics
3 Acta Mathematica
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 NoDEA. Nonlinear Differential Equations and Applications
3 Mathematical Physics, Analysis and Geometry
3 Chaos
3 Regular and Chaotic Dynamics
3 Journal of Evolution Equations
3 Journal of Fixed Point Theory and Applications
3 Frontiers of Mathematics in China
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 Applied Mathematics and Optimization
2 Publications Mathématiques
2 Journal of Soviet Mathematics
2 Mathematische Zeitschrift
2 Numerische Mathematik
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 Russian Journal of Mathematical Physics
2 Infinite Dimensional Analysis, Quantum Probability and Related Topics
2 Journal of the European Mathematical Society (JEMS)
2 Communications in Contemporary Mathematics
2 Qualitative Theory of Dynamical Systems
2 Nonlinear Analysis. Real World Applications
2 Dynamical Systems
2 Foundations of Computational Mathematics
2 SIAM Journal on Applied Dynamical Systems
2 Advances in Difference Equations
2 Analysis & PDE
2 Forum of Mathematics, Sigma
2 Annals of PDE
1 General Relativity and Gravitation
1 Journal of Computational Physics
1 Mathematical Methods in the Applied Sciences
1 Theoretical and Mathematical Physics
1 Chaos, Solitons and Fractals
1 Journal of Geometry and Physics
1 BIT
1 Colloquium Mathematicum
1 Commentarii Mathematici Helvetici
...and 57 more Serials
all top 5

Cited in 37 Fields

476 Partial differential equations (35-XX)
381 Dynamical systems and ergodic theory (37-XX)
146 Probability theory and stochastic processes (60-XX)
104 Fluid mechanics (76-XX)
70 Mechanics of particles and systems (70-XX)
56 Ordinary differential equations (34-XX)
34 Quantum theory (81-XX)
29 Statistical mechanics, structure of matter (82-XX)
26 Global analysis, analysis on manifolds (58-XX)
22 Mechanics of deformable solids (74-XX)
21 Operator theory (47-XX)
19 Differential geometry (53-XX)
18 Numerical analysis (65-XX)
14 Systems theory; control (93-XX)
9 Functional analysis (46-XX)
8 Geophysics (86-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Optics, electromagnetic theory (78-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Approximations and expansions (41-XX)
3 Measure and integration (28-XX)
3 Difference and functional equations (39-XX)
3 Integral equations (45-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Relativity and gravitational theory (83-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)
2 Real functions (26-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Sequences, series, summability (40-XX)

Citations by Year

Wikidata Timeline