Edit Profile (opens in new tab) Kuksin, Sergeĭ B. Compute Distance To: Compute Author ID: kuksin.sergei-b Published as: Kuksin, S. B.; Kuksin, Sergei; Kuksin, Sergei B.; Kuksin, Sergej B.; Kuksin, S.; Kuksin, Sergeĭ B.; Kuksin, Sergeï B.; Kuksin, Sergej more...less Homepage: https://webusers.imj-prg.fr/~sergei.kuksin/ External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef · theses.fr Documents Indexed: 138 Publications since 1978, including 5 Books 2 Contributions as Editor Biographic References: 1 Publication Co-Authors: 68 Co-Authors with 69 Joint Publications 2,623 Co-Co-Authors all top 5 Co-Authors 71 single-authored 13 Shirikyan, Armen R. 7 Eliasson, L. Hakan 4 Maiocchi, Alberto Mario 3 Bikbaev, Ramil’ F. 3 Dymov, Andrey V. 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 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 Grébert, Benoît 2 Huang, Guan 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 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 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 Journal of Applied Mathematics and Mechanics 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 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 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 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 all top 5 Fields 100 Partial differential equations (35-XX) 58 Dynamical systems and ergodic theory (37-XX) 24 Probability theory and stochastic processes (60-XX) 24 Fluid mechanics (76-XX) 11 Mechanics of deformable solids (74-XX) 7 Ordinary differential equations (34-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Functional analysis (46-XX) 6 Differential geometry (53-XX) 5 Operator theory (47-XX) 5 Systems theory; control (93-XX) 4 History and biography (01-XX) 4 Mechanics of particles and systems (70-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Numerical analysis (65-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 104 Publications have been cited 1,910 times in 847 Documents Cited by ▼ Year ▼ Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation. Zbl 0847.35130Kuksin, Sergej; Pöschel, Jürgen 182 1996 Nearly integrable infinite-dimensional Hamiltonian systems. Zbl 0784.58028Kuksin, Sergej B. 180 1993 KAM for the nonlinear Schrödinger equation. Zbl 1201.35177Eliasson, L. Hakan; Kuksin, Sergei B. 150 2010 Mathematics of two-dimensional turbulence. Zbl 1333.76003Kuksin, Sergei; Shirikyan, Armen 104 2012 Analysis of Hamiltonian PDE’s. Zbl 0960.35001Kuksin, S. B. 95 2000 Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum. Zbl 0716.34083Kuksin, S. B. 86 1987 On reducibility of Schrödinger equations with quasiperiodic in time potentials. Zbl 1176.35141Eliasson, Håkan L.; Kuksin, Sergei B. 82 2009 Hamiltonian perturbations of infinite-dimensional linear systems with imaginary spectrum. Zbl 0631.34069Kuksin, S. B. 68 1987 KAM for the nonlinear beam equation. Zbl 1370.35214Eliasson, L. Hakan; Grébert, Benoît; Kuksin, Sergei B. 52 2016 A KAM-theorem for equations of the Korteweg-de Vries type. Zbl 0920.35135Kuksin, S. B. 52 1998 Stochastic dissipative PDE’s and Gibbs measures. Zbl 0974.60046Kuksin, Sergei; Shirikyan, Armen 45 2000 A coupling approach to randomly forced nonlinear PDE’s. I. Zbl 0991.60056Kuksin, Sergei; Shirikyan, Armen 39 2001 Coupling approach to white-forced nonlinear PDEs. Zbl 1021.37044Kuksin, Sergei; Shirikyan, Armen 37 2002 The Eulerian limit for 2D statistical hydrodynamics. Zbl 1157.76319Kuksin, Sergei B. 30 2004 Ergodicity for the randomly forced 2D Navier-Stokes equations. Zbl 1013.37046Kuksin, Sergei; Shirikyan, Armen 29 2001 On small-denominators equations with large variable coefficients. Zbl 0886.35044Kuksin, Sergej B. 29 1997 Randomly forced CGL equation: stationary measures and the inviscid limit. Zbl 1047.35061Kuksin, Sergei; Shirikyan, Armen 26 2004 Perturbation of quasiperiodic solutions of infinite-dimensional Hamiltonian systems. Zbl 0667.58060Kuksin, S. B. 24 1989 Khasminskii-Whitham averaging for randomly perturbed KdV equation. Zbl 1148.35077Kuksin, Sergei B.; Piatnitski, Andrey L. 22 2008 Vey theorem in infinite dimensions and its application to KdV. Zbl 1193.37076Kuksin, Sergei; Perelman, Galina 21 2010 On the inclusion of analytic symplectic maps in analytic Hamiltonian flows and its applications. Zbl 0797.58025Kuksin, Sergei; Pöschel, Jürgen 21 1994 Infinite-dimensional symplectic capacities and a squeezing theorem for Hamiltonian PDE’s. Zbl 0827.35121Kuksin, Sergej B. 21 1995 Oscillation in space-periodic nonlinear Schrödinger equations. Zbl 0874.35113Kuksin, S. B. 20 1997 Random kick-forced 3D Navier-Stokes equations in a thin domain. Zbl 1133.76015Chueshov, Igor; Kuksin, Sergei 20 2008 Spectral properties of solutions for nonlinear PDEs in the turbulent regime. Zbl 0929.35145Kuksin, S. B. 19 1999 Stochastic 3D Navier-Stokes equations in a thin domain and its \(\alpha \)-approximation. Zbl 1143.76422Chueshov, Igor; Kuksin, Sergei 18 2008 Randomly forced nonlinear PDEs and statistical hydrodynamics in 2 space dimensions. Zbl 1099.35083Kuksin, Sergei B. 17 2006 Exponential mixing for a class of dissipative PDEs with bounded degenerate noise. Zbl 1442.35437Kuksin, Sergei; Nersesyan, Vahagn; Shirikyan, Armen 16 2020 On finite-dimensional projections of distributions for solutions of randomly forced 2D Navier-Stokes equations. Zbl 1177.60059Agrachev, A.; Kuksin, S.; Sarychev, A.; Shirikyan, A. 16 2007 Fifteen years of KAM for PDE. Zbl 1067.37110Kuksin, Sergei B. 16 2004 Damped-driven KdV and effective equations for long-time behaviour of its solutions. Zbl 1231.35205Kuksin, Sergei B. 16 2010 The nonlinear Klein-Gordon equation on an interval as a perturbed sine-Gordon equation. Zbl 0842.35099Bobenko, Alexander I.; Kuksin, Sergej B. 15 1995 KAM theory and the 3D Euler equation. Zbl 1303.37035Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel 13 2014 A coupling approach to randomly forced nonlinear PDE’s. II. Zbl 1010.60066Kuksin, Sergei; Piatniski, Andrey; Shirikyan, Armen 13 2002 On turbulence in nonlinear Schrödinger equations. Zbl 0912.35143Kuksin, S. B. 12 1997 On the parametrization of finite-gap solutions by frequency and wavenumber vectors and a theorem of I. Krichever. Zbl 0774.35070Bikbaev, Ramil F.; Kuksin, Sergej B. 12 1993 The KdV equation under periodic boundary conditions and its perturbations. Zbl 1301.35132Guan, Huang; Kuksin, Sergei 12 2014 Four lectures on KAM for the nonlinear Schrödinger equation. Zbl 1140.37021Eliasson, 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 0678.58037Kuksin, S. B. 11 1989 On random attractors for mixing type systems. Zbl 1086.37027Kuksin, S. B.; Shirikyan, A. 11 2004 Perturbation of conditionally periodic solutions of infinite-dimensional Hamiltonian systems. Zbl 0662.58036Kuksin, S. B. 11 1988 On distribution of energy and vorticity for solutions of 2D Navier-Stokes equation with small viscosity. Zbl 1168.35034Kuksin, Sergei B. 10 2008 Infinite Toeplitz-Lipschitz matrices and operators. Zbl 1140.15025Eliasson, H. L.; Kuksin, S. B. 9 2008 Hölder estimates for solutions of parabolic SPDEs. Zbl 1038.60058Kuksin, S. B.; Nadirashvili, N. S.; Pyatnitskij, A. L. 9 2002 Weakly nonlinear stochastic CGL equations. Zbl 1280.35144Kuksin, Sergei B. 9 2013 Perturbation theory of conditionally periodic solutions of infinite- dimensional Hamiltonian systems and its application to the Korteweg-de Vries equation. Zbl 0657.58033Kuksin, S. B. 8 1988 Growth and oscillations of solutions of nonlinear Schrödinger equation. Zbl 0862.35112Kuksin, Sergei B. 8 1996 On squeezing and flow of energy for nonlinear wave equations. Zbl 0834.35086Kuksin, S. B. 8 1995 Stochastic CGL equations without linear dispersion in any space dimension. Zbl 1287.60093Kuksin, Sergei; Nersesyan, Vahagn 8 2013 Eulerian limit for 2D Navier-Stokes equation and damped/driven KdV equation as its model. Zbl 1161.35461Kuksin, S. B. 7 2007 Elements of a qualitative theory of Hamiltonian PDEs. Zbl 0967.35123Kuksin, Sergei B. 7 1998 Derivation of a wave kinetic equation from the resonant-averaged stochastic NLS equation. Zbl 1364.35336Kuksin, Sergei; Maiocchi, Alberto 7 2015 Mixing via controllability for randomly forced nonlinear dissipative PDEs. (Mélange via la contrôlabilité pour des EDP non linéaires dissipatives bruitées.) Zbl 1451.35071Kuksin, Sergei; Nersesyan, Vahagn; Shirikyan, Armen 6 2020 Stochastic nonlinear Schrödinger equation. I: A priori estimates. Zbl 0984.60070Kuksin, S. B. 6 1999 A periodic boundary value problem for the sine-Gordon equation, its small Hamiltonian perturbations and KAM deformations of finite-zone tori. Zbl 0771.35052Bikbaev, R. F.; Kuksin, S. B. 6 1992 On the inclusion of an almost integrable analytic symplectomorphism into a Hamiltonian flow. Zbl 0931.37030Kuksin, Sergei B. 6 1993 KAM-theory for partial differential equations. Zbl 0821.35130Kuksin, S. B. 5 1994 Diffeomorphisms of functional spaces corresponding to quasilinear parabolic equations. Zbl 0501.35046Kuksin, S. B. 5 1982 Asymptotic expansions for some integrals of quotients with degenerated divisors. Zbl 1382.28005Kuksin, Sergei 5 2017 Perturbations of the harmonic map equation. Zbl 1063.58012Kappeler, T.; Kuksin, S.; Schroeder, V. 5 2003 Some limiting properties of randomly forced two-dimensional Navier-Stokes equations. Zbl 1060.35106Kuksin, Sergei; Shirikyan, Armen 5 2003 Time-averaging for weakly nonlinear CGL equations with arbitrary potentials. Zbl 1331.35331Huang, Guan; Kuksin, Sergei; Maiocchi, Alberto 4 2015 Global, local and dense non-mixing of the 3D Euler equation. Zbl 1451.35122Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel 4 2020 Ergodic theorems for 2D statistical hydrodynamics. Zbl 1030.37054Kuksin, Sergei B. 4 2002 Resonant averaging for small-amplitude solutions of stochastic nonlinear Schrödinger equations. Zbl 1391.35437Kuksin, Sergei; Maiocchi, Alberto 4 2018 Quasilinear elliptic equations and Fredholm manifolds. Zbl 0599.35041Vishik, M. I.; Kuksin, S. B. 4 1985 An infinitesimal Liouville-Arnold theorem as a criterion of reducibility for variational Hamiltonian equations. Zbl 0769.58022Kuksin, Sergej B. 4 1992 A family of balance relations for the two-dimensional Navier-Stokes equations with random forcing. Zbl 1064.76027Kuksin, Sergei; Penrose, Oliver 4 2005 Exponential mixing for dissipative PDEs with bounded non-degenerate noise. Zbl 1440.35272Kuksin, Sergei; Zhang, Huilin 4 2020 The limit of small Rossby numbers for randomly forced quasi-geostrophic equation on \(\beta\)-plane. Zbl 1327.35462Kuksin, Sergei; Maiocchi, Alberto 4 2015 Quasi-linear elliptic differential equations for mappings of manifolds. II. Zbl 1232.58005Kokarev, Gerasim; Kuksin, Sergei 3 2007 Hamiltonian PDEs. (With an appendix by Dario Bambusi). Zbl 1130.37392Kuksin, Sergei B. 3 2006 A periodic boundary value problem for the sine-Gordon equation, small Hamiltonian perturbations of it, and KAM-deformations of finite-gap tori. Zbl 0791.35118Bikbaev, R. F.; Kuksin, S. B. 3 1992 On quantum averaging, quantum KAM, and quantum diffusion. Zbl 1271.81066Kuksin, S. B.; Neishtadt, A. I. 3 2013 An application of monotone semigroups in the theory of perfect elastoplasticity. Zbl 0513.73039Kuksin, S. B. 3 1982 Remarks on the balance relations for the two-dimensional Navier-Stokes equation with random forcing. Zbl 1089.76013Kuksin, Sergei B. 3 2006 Strong nonresonance of Schrödinger operators and an averaging theorem. Zbl 0885.35119Kappeler, 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 1023.37031Kuksin, Sergei B. 3 2002 Conditions on a discontinuity of solutions of the Prandtl-Reuss equations. Zbl 0584.73040Kuksin, S. B. 2 1984 Reducible equations in variations and perturbations of invariant tori of Hamiltonian systems. Zbl 0684.58013Kuksin, S. B. 2 1989 Perturbations of quasilinear elliptic equations and Fredholm manifolds. Zbl 0625.35029Vishik, M. I.; Kuksin, S. B. 2 1987 An averaging theorem for distributed conservative systems and its application to von Kármán’s equations. Zbl 0722.73039Kuksin, S. B. 2 1989 Rigorous results and conjectures on stationary space-periodic 2D turbulence. Zbl 1171.35445Kuksin, Sergei B. 2 2007 Double-periodic solutions of nonlinear Cauchy-Riemann equations. Zbl 0855.58048Kuksin, Sergej B. 2 1996 Asymptotic properties of integrals of quotients when the numerator oscillates and the denominator degenerates. Zbl 07116939Kuksin, Sergei 2 2018 One-dimensional turbulence and the stochastic Burgers equation. Zbl 1486.60002Boritchev, Alexandre; Kuksin, Sergei 2 2021 Analyticity of solutions for quasilinear wave equations and other quasilinear systems. Zbl 1330.35261Kuksin, Sergei; Nadirashvili, Nikolai 2 2014 KdV Hamiltonian as a function of actions. Zbl 1351.37243Korotyaev, 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 1401.35358Kelaï, Takfarinas; Kuksin, Sergei 1 2016 On the character of dependence of the solutions to nonlinear parabolic equations on initial conditions. Zbl 0433.35033Kuksin, S. B. 1 1979 On quasilinear parabolic equations. Zbl 0448.35052Kuksin, S. B. 1 1980 On quasilinear parabolic equations. Zbl 0466.35045Kuksin, S. B. 1 1980 Seminar on dynamical systems. Euler International Mathematical Institut, St. Petersburg, Russia, October 14-25 and November 18-29, 1991. Zbl 0782.00078 1 1994 Dissipative perturbations of KdV. Zbl 1204.35147Kuksin, Sergei B. 1 2010 Conservative perturbations of infinite-dimensional linear systems depending on a vector parameter. Zbl 0688.58033Kuksin, S. B. 1 1989 Analytic dependence of the solutions of some monotone parabolic equations on the initial conditions. Zbl 0389.35040Kuksin, S. B. 1 1978 Generalized solutions of the dynamic problem of perfect elastoplasticity. Zbl 0604.73027Kuksin, S. B. 1 1985 Poincaré inequalities for maps with target manifold of negative curvature. Zbl 1093.53037Kappeler, 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 0839.35117Bobenko, A. I.; Kuksin, S. B. 1 1995 Lectures on Hamiltonian methods in nonlinear PDEs. Zbl 1123.37028Kuksin, Sergei 1 2005 One-dimensional turbulence and the stochastic Burgers equation. Zbl 1486.60002Boritchev, Alexandre; Kuksin, Sergei 2 2021 On the energy transfer to high frequencies in the damped/driven nonlinear Schrödinger equation. Zbl 1478.35192Huang, Guan; Kuksin, Sergei 1 2021 Formal expansions in stochastic model for wave turbulence. I: Kinetic limit. Zbl 1482.35211Dymov, Andrey; Kuksin, Sergei 1 2021 Exponential mixing for a class of dissipative PDEs with bounded degenerate noise. Zbl 1442.35437Kuksin, Sergei; Nersesyan, Vahagn; Shirikyan, Armen 16 2020 Mixing via controllability for randomly forced nonlinear dissipative PDEs. (Mélange via la contrôlabilité pour des EDP non linéaires dissipatives bruitées.) Zbl 1451.35071Kuksin, Sergei; Nersesyan, Vahagn; Shirikyan, Armen 6 2020 Global, local and dense non-mixing of the 3D Euler equation. Zbl 1451.35122Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel 4 2020 Exponential mixing for dissipative PDEs with bounded non-degenerate noise. Zbl 1440.35272Kuksin, Sergei; Zhang, Huilin 4 2020 On the Zakharov-L’vov stochastic model for wave turbulence. Zbl 1479.35783Dymov, A. V.; Kuksin, S. B. 1 2020 Resonant averaging for small-amplitude solutions of stochastic nonlinear Schrödinger equations. Zbl 1391.35437Kuksin, Sergei; Maiocchi, Alberto 4 2018 Asymptotic properties of integrals of quotients when the numerator oscillates and the denominator degenerates. Zbl 07116939Kuksin, Sergei 2 2018 Asymptotic expansions for some integrals of quotients with degenerated divisors. Zbl 1382.28005Kuksin, Sergei 5 2017 KAM for the nonlinear beam equation. Zbl 1370.35214Eliasson, L. Hakan; Grébert, Benoît; Kuksin, Sergei B. 52 2016 KdV Hamiltonian as a function of actions. Zbl 1351.37243Korotyaev, 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 1401.35358Kelaï, Takfarinas; Kuksin, Sergei 1 2016 Derivation of a wave kinetic equation from the resonant-averaged stochastic NLS equation. Zbl 1364.35336Kuksin, Sergei; Maiocchi, Alberto 7 2015 Time-averaging for weakly nonlinear CGL equations with arbitrary potentials. Zbl 1331.35331Huang, Guan; Kuksin, Sergei; Maiocchi, Alberto 4 2015 The limit of small Rossby numbers for randomly forced quasi-geostrophic equation on \(\beta\)-plane. Zbl 1327.35462Kuksin, Sergei; Maiocchi, Alberto 4 2015 KAM theory and the 3D Euler equation. Zbl 1303.37035Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel 13 2014 The KdV equation under periodic boundary conditions and its perturbations. Zbl 1301.35132Guan, Huang; Kuksin, Sergei 12 2014 Analyticity of solutions for quasilinear wave equations and other quasilinear systems. Zbl 1330.35261Kuksin, Sergei; Nadirashvili, Nikolai 2 2014 Weakly nonlinear stochastic CGL equations. Zbl 1280.35144Kuksin, Sergei B. 9 2013 Stochastic CGL equations without linear dispersion in any space dimension. Zbl 1287.60093Kuksin, Sergei; Nersesyan, Vahagn 8 2013 On quantum averaging, quantum KAM, and quantum diffusion. Zbl 1271.81066Kuksin, S. B.; Neishtadt, A. I. 3 2013 Mathematics of two-dimensional turbulence. Zbl 1333.76003Kuksin, Sergei; Shirikyan, Armen 104 2012 KAM for the nonlinear Schrödinger equation. Zbl 1201.35177Eliasson, L. Hakan; Kuksin, Sergei B. 150 2010 Vey theorem in infinite dimensions and its application to KdV. Zbl 1193.37076Kuksin, Sergei; Perelman, Galina 21 2010 Damped-driven KdV and effective equations for long-time behaviour of its solutions. Zbl 1231.35205Kuksin, Sergei B. 16 2010 Dissipative perturbations of KdV. Zbl 1204.35147Kuksin, Sergei B. 1 2010 On reducibility of Schrödinger equations with quasiperiodic in time potentials. Zbl 1176.35141Eliasson, Håkan L.; Kuksin, Sergei B. 82 2009 Khasminskii-Whitham averaging for randomly perturbed KdV equation. Zbl 1148.35077Kuksin, Sergei B.; Piatnitski, Andrey L. 22 2008 Random kick-forced 3D Navier-Stokes equations in a thin domain. Zbl 1133.76015Chueshov, Igor; Kuksin, Sergei 20 2008 Stochastic 3D Navier-Stokes equations in a thin domain and its \(\alpha \)-approximation. Zbl 1143.76422Chueshov, Igor; Kuksin, Sergei 18 2008 Four lectures on KAM for the nonlinear Schrödinger equation. Zbl 1140.37021Eliasson, L. H.; Kuksin, S. B. 12 2008 On distribution of energy and vorticity for solutions of 2D Navier-Stokes equation with small viscosity. Zbl 1168.35034Kuksin, Sergei B. 10 2008 Infinite Toeplitz-Lipschitz matrices and operators. Zbl 1140.15025Eliasson, H. L.; Kuksin, S. B. 9 2008 On finite-dimensional projections of distributions for solutions of randomly forced 2D Navier-Stokes equations. Zbl 1177.60059Agrachev, 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 1161.35461Kuksin, S. B. 7 2007 Quasi-linear elliptic differential equations for mappings of manifolds. II. Zbl 1232.58005Kokarev, Gerasim; Kuksin, Sergei 3 2007 Rigorous results and conjectures on stationary space-periodic 2D turbulence. Zbl 1171.35445Kuksin, Sergei B. 2 2007 Randomly forced nonlinear PDEs and statistical hydrodynamics in 2 space dimensions. Zbl 1099.35083Kuksin, Sergei B. 17 2006 Hamiltonian PDEs. (With an appendix by Dario Bambusi). Zbl 1130.37392Kuksin, Sergei B. 3 2006 Remarks on the balance relations for the two-dimensional Navier-Stokes equation with random forcing. Zbl 1089.76013Kuksin, Sergei B. 3 2006 A family of balance relations for the two-dimensional Navier-Stokes equations with random forcing. Zbl 1064.76027Kuksin, Sergei; Penrose, Oliver 4 2005 Poincaré inequalities for maps with target manifold of negative curvature. Zbl 1093.53037Kappeler, T.; Schroeder, V.; Kuksin, S. 1 2005 Lectures on Hamiltonian methods in nonlinear PDEs. Zbl 1123.37028Kuksin, Sergei 1 2005 The Eulerian limit for 2D statistical hydrodynamics. Zbl 1157.76319Kuksin, Sergei B. 30 2004 Randomly forced CGL equation: stationary measures and the inviscid limit. Zbl 1047.35061Kuksin, Sergei; Shirikyan, Armen 26 2004 Fifteen years of KAM for PDE. Zbl 1067.37110Kuksin, Sergei B. 16 2004 On random attractors for mixing type systems. Zbl 1086.37027Kuksin, S. B.; Shirikyan, A. 11 2004 Perturbations of the harmonic map equation. Zbl 1063.58012Kappeler, T.; Kuksin, S.; Schroeder, V. 5 2003 Some limiting properties of randomly forced two-dimensional Navier-Stokes equations. Zbl 1060.35106Kuksin, Sergei; Shirikyan, Armen 5 2003 Coupling approach to white-forced nonlinear PDEs. Zbl 1021.37044Kuksin, Sergei; Shirikyan, Armen 37 2002 A coupling approach to randomly forced nonlinear PDE’s. II. Zbl 1010.60066Kuksin, Sergei; Piatniski, Andrey; Shirikyan, Armen 13 2002 Hölder estimates for solutions of parabolic SPDEs. Zbl 1038.60058Kuksin, S. B.; Nadirashvili, N. S.; Pyatnitskij, A. L. 9 2002 Ergodic theorems for 2D statistical hydrodynamics. Zbl 1030.37054Kuksin, Sergei B. 4 2002 On exponential convergence to a stationary measure for nonlinear PDEs perturbed by random kick-forces, and the turbulence limit. Zbl 1023.37031Kuksin, Sergei B. 3 2002 A coupling approach to randomly forced nonlinear PDE’s. I. Zbl 0991.60056Kuksin, Sergei; Shirikyan, Armen 39 2001 Ergodicity for the randomly forced 2D Navier-Stokes equations. Zbl 1013.37046Kuksin, Sergei; Shirikyan, Armen 29 2001 Analysis of Hamiltonian PDE’s. Zbl 0960.35001Kuksin, S. B. 95 2000 Stochastic dissipative PDE’s and Gibbs measures. Zbl 0974.60046Kuksin, Sergei; Shirikyan, Armen 45 2000 Spectral properties of solutions for nonlinear PDEs in the turbulent regime. Zbl 0929.35145Kuksin, S. B. 19 1999 Stochastic nonlinear Schrödinger equation. I: A priori estimates. Zbl 0984.60070Kuksin, S. B. 6 1999 A KAM-theorem for equations of the Korteweg-de Vries type. Zbl 0920.35135Kuksin, S. B. 52 1998 Elements of a qualitative theory of Hamiltonian PDEs. Zbl 0967.35123Kuksin, Sergei B. 7 1998 On small-denominators equations with large variable coefficients. Zbl 0886.35044Kuksin, Sergej B. 29 1997 Oscillation in space-periodic nonlinear Schrödinger equations. Zbl 0874.35113Kuksin, S. B. 20 1997 On turbulence in nonlinear Schrödinger equations. Zbl 0912.35143Kuksin, S. B. 12 1997 Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation. Zbl 0847.35130Kuksin, Sergej; Pöschel, Jürgen 182 1996 Growth and oscillations of solutions of nonlinear Schrödinger equation. Zbl 0862.35112Kuksin, Sergei B. 8 1996 Double-periodic solutions of nonlinear Cauchy-Riemann equations. Zbl 0855.58048Kuksin, Sergej B. 2 1996 Infinite-dimensional symplectic capacities and a squeezing theorem for Hamiltonian PDE’s. Zbl 0827.35121Kuksin, Sergej B. 21 1995 The nonlinear Klein-Gordon equation on an interval as a perturbed sine-Gordon equation. Zbl 0842.35099Bobenko, Alexander I.; Kuksin, Sergej B. 15 1995 On squeezing and flow of energy for nonlinear wave equations. Zbl 0834.35086Kuksin, S. B. 8 1995 Strong nonresonance of Schrödinger operators and an averaging theorem. Zbl 0885.35119Kappeler, T.; Kuksin, S. 3 1995 Small-amplitude solutions of the sine-Gordon equation on an interval under Dirichlet or Neumann boundary conditions. Zbl 0839.35117Bobenko, A. I.; Kuksin, S. B. 1 1995 On the inclusion of analytic symplectic maps in analytic Hamiltonian flows and its applications. Zbl 0797.58025Kuksin, Sergei; Pöschel, Jürgen 21 1994 KAM-theory for partial differential equations. Zbl 0821.35130Kuksin, 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 0784.58028Kuksin, Sergej B. 180 1993 On the parametrization of finite-gap solutions by frequency and wavenumber vectors and a theorem of I. Krichever. Zbl 0774.35070Bikbaev, Ramil F.; Kuksin, Sergej B. 12 1993 On the inclusion of an almost integrable analytic symplectomorphism into a Hamiltonian flow. Zbl 0931.37030Kuksin, 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 0771.35052Bikbaev, R. F.; Kuksin, S. B. 6 1992 An infinitesimal Liouville-Arnold theorem as a criterion of reducibility for variational Hamiltonian equations. Zbl 0769.58022Kuksin, 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 0791.35118Bikbaev, R. F.; Kuksin, S. B. 3 1992 Perturbation of quasiperiodic solutions of infinite-dimensional Hamiltonian systems. Zbl 0667.58060Kuksin, S. B. 24 1989 Perturbation theory for quasiperiodic solutions of infinite-dimensional Hamiltonian systems, and its applications to the Korteweg-de Vries equation. Zbl 0678.58037Kuksin, S. B. 11 1989 Reducible equations in variations and perturbations of invariant tori of Hamiltonian systems. Zbl 0684.58013Kuksin, S. B. 2 1989 An averaging theorem for distributed conservative systems and its application to von Kármán’s equations. Zbl 0722.73039Kuksin, S. B. 2 1989 Conservative perturbations of infinite-dimensional linear systems depending on a vector parameter. Zbl 0688.58033Kuksin, S. B. 1 1989 Perturbation of conditionally periodic solutions of infinite-dimensional Hamiltonian systems. Zbl 0662.58036Kuksin, S. B. 11 1988 Perturbation theory of conditionally periodic solutions of infinite- dimensional Hamiltonian systems and its application to the Korteweg-de Vries equation. Zbl 0657.58033Kuksin, S. B. 8 1988 Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum. Zbl 0716.34083Kuksin, S. B. 86 1987 Hamiltonian perturbations of infinite-dimensional linear systems with imaginary spectrum. Zbl 0631.34069Kuksin, S. B. 68 1987 Perturbations of quasilinear elliptic equations and Fredholm manifolds. Zbl 0625.35029Vishik, M. I.; Kuksin, S. B. 2 1987 Quasilinear elliptic equations and Fredholm manifolds. Zbl 0599.35041Vishik, M. I.; Kuksin, S. B. 4 1985 Generalized solutions of the dynamic problem of perfect elastoplasticity. Zbl 0604.73027Kuksin, S. B. 1 1985 Conditions on a discontinuity of solutions of the Prandtl-Reuss equations. Zbl 0584.73040Kuksin, S. B. 2 1984 The control problem for the process of elasto-plastic deformation. Zbl 0596.73016Kuksin, S. B. 1 1983 Diffeomorphisms of functional spaces corresponding to quasilinear parabolic equations. Zbl 0501.35046Kuksin, S. B. 5 1982 An application of monotone semigroups in the theory of perfect elastoplasticity. Zbl 0513.73039Kuksin, S. B. 3 1982 ...and 4 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 668 Authors 48 Kuksin, Sergeĭ B. 31 Geng, Jiansheng 29 Berti, Massimiliano 28 Procesi, Michela 24 Montalto, Riccardo 22 Xu, Junxiang 21 Bambusi, Dario 21 Kappeler, Thomas 20 Grébert, Benoît 18 Nersesyan, Vahagn 18 Si, Jianguo 18 Xu, XinDong 17 Yuan, Xiaoping 13 Maspero, Alberto 13 Shi, Yanling 13 Shirikyan, Armen R. 13 You, Jiangong 12 Glatt-Holtz, Nathan E. 11 Liu, Jianjun 10 Baldi, Pietro 10 Gao, Meina 10 Li, Yong 10 Mattingly, Jonathan Christopher 10 Mi, Lufang 9 Bedrossian, Jacob 9 Cong, Hongzi 9 Gentile, Guido 9 Topalov, Peter J. 8 Biasco, Luca 8 Bolle, Philippe 8 Boritchev, Alexandre 8 Flandoli, Franco 8 Liang, Zhenguo 8 Lou, Zhaowei 8 Rui, Jie 8 Wang, Yi 8 Yan, Dongfeng 7 Bourgain, Jean 7 Da Prato, Giuseppe 7 Debussche, Arnaud 7 Dymov, Andrey V. 7 Faou, Erwan 7 Giuliani, Filippo 7 Guardia, Marcel 7 Hairer, Martin 7 Zhang, Dongfeng 6 Bessaih, Hakima 6 Colliander, James E. 6 Corsi, Livia 6 Haus, Emanuele 6 Li, Jing 6 Razafimandimby, Paul André 6 Shi, Guanghua 6 Thomann, Laurent 6 Wei, Jinlong 6 Xu, Lihu 5 Bakhtin, Yuri Yu. 5 Cerrai, Sandra 5 Coti Zelati, Michele 5 Feola, Roberto 5 Froeschlé, Claude 5 Gao, Yixian 5 Gess, Benjamin 5 Hani, Zaher 5 Ji, Shuguan 5 Kokarev, Gerasim 5 Lega, Elena 5 Li, Dingshi 5 Liu, Jie 5 Peralta-Salas, Daniel 5 Ren, Xiufang 5 Richards, Geordie 5 Shi, Lin 5 Si, Wen 5 Staffilani, Gigliola 5 Sy, Mouhamadou 5 Wang, Wei-Min 5 Yi, Yingfei 4 Barbu, Viorel 4 Bikbaev, Ramil’ F. 4 Blumenthal, Alex 4 Cui, Wenyan 4 Delort, Jean-Marc 4 Duan, Jinqiao 4 Eliasson, L. Hakan 4 Enciso, Alberto 4 Ferrario, Benedetta 4 Földes, Juraj 4 Gauckler, Ludwig J. 4 Guzzo, Massimiliano 4 Huang, Guan 4 Jakšić, Vojkan 4 Keel, Markus 4 Kukavica, Igor 4 Li, Fuzhi 4 Liu, Wei 4 Luo, Dejun 4 Maiocchi, Alberto Mario 4 Paturel, Eric 4 Peng, Xuhui ...and 568 more Authors all top 5 Cited in 183 Serials 70 Journal of Differential Equations 67 Communications in Mathematical Physics 35 Journal of Dynamics and Differential Equations 31 Journal of Mathematical Physics 23 Journal of Mathematical Analysis and Applications 23 Discrete and Continuous Dynamical Systems 22 Archive for Rational Mechanics and Analysis 19 Physica D 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Journal of Statistical Physics 15 Stochastic Processes and their Applications 13 Journal of Functional Analysis 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 13 Stochastic and Partial Differential Equations. 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Real World Applications 3 Stochastics and Dynamics 3 Frontiers of Mathematics in China 3 Analysis & PDE 3 Annals of PDE 2 Computers & Mathematics with Applications 2 Physica A 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 Mathematische Annalen 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 Calculus of Variations and Partial Differential Equations 2 Doklady Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Communications in Contemporary Mathematics 2 Journal of High Energy Physics 2 Differential Equations 2 Foundations of Computational Mathematics ...and 83 more Serials all top 5 Cited in 39 Fields 605 Partial differential equations (35-XX) 479 Dynamical systems and ergodic theory (37-XX) 191 Probability theory and stochastic processes (60-XX) 140 Fluid mechanics (76-XX) 84 Mechanics of particles and systems (70-XX) 61 Ordinary differential equations (34-XX) 43 Quantum theory (81-XX) 34 Statistical mechanics, structure of matter (82-XX) 32 Global analysis, analysis on manifolds (58-XX) 26 Operator theory (47-XX) 25 Systems theory; control (93-XX) 24 Mechanics of deformable solids (74-XX) 20 Differential geometry (53-XX) 20 Numerical analysis (65-XX) 12 Geophysics (86-XX) 10 Functional analysis (46-XX) 6 Optics, electromagnetic theory (78-XX) 5 Measure and integration (28-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Integral equations (45-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Relativity and gravitational theory (83-XX) 3 Real functions (26-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 3 Approximations and expansions (41-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 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) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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