A. V. Dymov, S. B. Kuksin, “A note on the Newton–Kantorovich scheme for evolutionary equations”, Mathematical Aspects of Mechanics, Collected papers. Dedicated to Dmitry Valerevich Treschev on the occasion of his 60th birthday and to Sergey Vladimirovich Bolotin on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 327, Steklov Math. Inst., Moscow, 2024 (to appear)
2023
2.
Russian Math. Surveys, 78:4 (2023), 585–633
3.
Andrey Dymov, Sergey Kuksin, “Formal expansions in stochastic model for wave turbulence 2: Method of diagram decomposition”, J. Stat. Phys., 190 (2023), 3 , 61 pp., arXiv: 1907.02279;
S. G. Vlăduţ, A. V. Dymov, S. B. Kuksin, A. Maiocchi, “A refinement of Heath-Brown's theorem on quadratic forms”, Sb. Math., 214:5 (2023), 627–675
5.
A. V. Bobylev, S. B. Kuksin, “Boltzmann equation and wave kinetic equations”, Keldysh Institute preprints, 2023
6.
Andrey Dymov, Sergei Kuksin, Alberto Maiocchi, Sergei Vlăduţ, “The Large-Period Limit for Equations of Discrete Turbulence”, Ann. Henri Poincaré, 24 (2023), 3685–3739;
W. Jian, S. B. Kuksin, Y. Wu, “Krylov–Bogolyubov averaging”, Russian Math. Surveys, 75:3 (2020), 427–444
9.
A. V. Dymov, S. B. Kuksin, “On the Zakharov–Lvov stochastic model for wave turbulence”, Dokl. Math., 101:2 (2020), 102–109
2018
10.
Sergei Kuksin, “Asymptotic properties of integrals of quotients when the numerator oscillates and the denominator degenerates”, Zhurn. matem. fiz., anal., geom., 14:4 (2018), 510–518
L. H. Eliasson, B. Grébert, S. B. Kuksin, “A KAM theorem for space-multidimensional Hamiltonian PDEs”, Proc. Steklov Inst. Math., 295 (2016), 129–147
2013
12.
S. B. Kuksin, A. I. Neishtadt, “On quantum averaging, quantum KAM, and quantum diffusion”, Russian Math. Surveys, 68:2 (2013), 335–348
13.
M. S. Agranovich, A. V. Babin, A. S. Demidov, Yu. A. Dubinskii, A. I. Komech, S. B. Kuksin, A. P. Kuleshov, V. P. Maslov, S. P. Novikov, V. M. Tikhomirov, A. V. Fursikov, V. V. Chepyzhov, A. I. Shnirelman, M. A. Shubin, G. I. Eskin, “Marko Iosifovich Vishik (obituary)”, Russian Math. Surveys, 68:2 (2013), 383–387
2007
14.
Proc. Steklov Inst. Math., 259 (2007), 128–136
15.
C. E. Wayne, P. Gerard, W. Craig, S. B. Kuksin, A. G. Sergeev, A. V. Fursikov, “Workshop on Mathematical Hydrodynamics”, Russian Math. Surveys, 62:3 (2007), 407–408
2005
16.
T. Kappeler, V. Schroeder, S. B. Kuksin, “Poincaré inequalities for maps with target manifold of negative curvature”, Mosc. Math. J., 5:2 (2005), 399–414
V. G. Drinfeld, A. A. Grigor'yan, Yu. S. Ilyashenko, D. Jakobson, C. E. Kenig, S. B. Kuksin, P. C. Sarnak, M. A. Tsfasman, S. G. Vlăduţ, “Nikolai Nadirashvili”, Mosc. Math. J., 5:4 (2005), 969–970
2004
18.
S. B. Kuksin, A. R. Shirikyan, “On Random Attractors for Mixing Type Systems”, Funct. Anal. Appl., 38:1 (2004), 28–37
19.
G. Kokarev, S. Kuksin, “Quasilinear elliptic differential equations on mappings of manifolds. I”, St. Petersburg Math. J., 15:4 (2004), 469–505
2003
20.
S. B. Kuksin, N. S. Nadirashvili, A. L. Piatnitski, “Hölder estimates for solutions of parabolic SPDEs”, Theory Probab. Appl., 47:1 (2003), 157–163
1999
21.
S. B. Kuksin, “Stochastic Nonlinear Schrödinger Equation. 1. A priori Estimates”, Proc. Steklov Inst. Math., 225 (1999), 219–242
1997
22.
M. S. Agranovich, A. V. Babin, L. R. Volevich, A. Yu. Goritskii, A. S. Demidov, Yu. A. Dubinskii, A. I. Komech, M. L. Krasnov, S. B. Kuksin, G. I. Makarenko, V. P. Maslov, V. M. Tikhomirov, A. V. Fursikov, V. V. Chepyzhov, A. I. Shnirel'man, M. A. Shubin, “Mark Iosifovich Vishik (on his 75th birthday)”, Russian Math. Surveys, 52:4 (1997), 853–861
1993
23.
R. F. Bikbaev, S. B. Kuksin, “A periodic boundary value problem for the sine-Gordon equation, its small Hamiltonian perturbations, and KAM-deformations of finite-gap tori”, St. Petersburg Math. J., 4:3 (1993), 439–468
1989
24.
S. B. Kuksin, “Conservative perturbations of infinite-dimensional linear systems depending on a vector parameter”, Funct. Anal. Appl., 23:1 (1989), 62–63
25.
S. B. Kuksin, “Perturbation of one-gap solutions of the Korteweg–de Vries equation”, Mat. Zametki, 46:5 (1989), 96–98
26.
S. B. Kuksin, “Reducible variational equations and the perturbation of invariant tori of Hamiltonian systems”, Math. Notes, 45:5 (1989), 373–381
27.
S. B. Kuksin, “Perturbation of quasiperiodic solutions of infinite-dimensional Hamiltonian systems”, Math. USSR-Izv., 32:1 (1989), 39–62
28.
S. B. Kuksin, “Perturbation theory for quasiperiodic solutions of infinite-dimensional Hamiltonian systems, and its application to the Korteweg–de Vries equation”, Math. USSR-Sb., 64:2 (1989), 397–413
1987
29.
S. B. Kuksin, “Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum”, Funct. Anal. Appl., 21:3 (1987), 192–205
1986
30.
S. B. Kuksin, “Estimating the norm of an inverse matrix which depends on vector control”, Avtomat. i Telemekh., 1986, no. 3, 59–62
1987
31.
M. I. Vishik, S. B. Kuksin, “Perturbations of quasilinear elliptic equations and Fredholm manifolds”, Math. USSR-Sb., 58:1 (1987), 223–243
1985
32.
A. F. Volkov, T. S. Krayukhina, S. B. Kuksin, G. B. Semenov, “Efficiency of a heuristic algorithm for allocation of periodic tasks among identical computers”, Avtomat. i Telemekh., 1985, no. 5, 148–152
33.
M. I. Vishik, S. B. Kuksin, “Quasilinear elliptic equations and Fredholm manifolds”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1985, no. 6, 23–30
34.
V. Ya. Rivkind, S. P. Novikov, V. M. Petkov, V. P. Myasnikov, M. V. Fedoryuk, V. V. Kucherenko, A. A. Davydov, A. I. Neishtadt, S. N. Kruzhkov, S. A. Molchanov, A. A. Ruzmaikin, D. D. Sokolov, Yu. M. Sukhov, A. G. Shukhov, B. R. Vainberg, V. I. Bakhtin, A. G. Vainshtein, B. Z. Shapiro, V. A. Kondrat'ev, O. A. Oleinik, M. I. Vishik, S. B. Kuksin, A. G. Korolev, Yu. S. Ilyashenko, “Sessions of the Petrovskii seminar on differential equations and mathemathical problems of physics”, Uspekhi Mat. Nauk, 40:5(245) (1985), 295–307
1984
35.
R. V. Goldshtejn, S. B. Kuksin, “A method of approximate solution of diffusion and heat conduction problems for domains with a large number of small defects”, Dokl. Akad. Nauk SSSR, 277:6 (1984), 1351–1354
36.
S. B. Kuksin, “Conditions on the discontinuity of solutions of Prandtl–Reuss equations”, Dokl. Akad. Nauk SSSR, 279:5 (1984), 1065–1068
1983
37.
R. Finn, V. I. Arnol'd, S. B. Kuksin, V. M. Kharlamov, A. V. Babin, I. G. Khachatryan, Ya. B. Zel'dovich, S. N. Samborskii, O. I. Bogoyavlenskii, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 38:2(230) (1983), 225–232
1982
38.
S. B. Kuksin, “An application of monotonic semigroups in the theory of perfectly elastic plasticity”, Russian Math. Surveys, 37:5 (1982), 182–183
1983
39.
S. B. Kuksin, “Diffeomorphisms of function spaces corresponding to quasilinear parabolic equations”, Math. USSR-Sb., 45:3 (1983), 359–378
1980
40.
S. B. Kuksin, “On quasilinear parabolic equations”, Russian Math. Surveys, 35:4 (1980), 173–174
Lecture 2. Random dynamical systems A. V. Dymov, S. B. Kuksin Course by A. V. Dymov and S. B. Kuksin "Random dynamical systems" March 3, 2023 18:00
15.
Lecture 1. Random dynamical systems A. V. Dymov, S. B. Kuksin Course by A. V. Dymov and S. B. Kuksin "Random dynamical systems" February 17, 2023 18:00
16.
K41 and burgulence S. B. Kuksin Steklov Mathematical Institute Seminar December 15, 2022 16:00
Rigorous theory of 1d turbulence S. B. Kuksin International Conference "Classical Mechanics, Dynamical Systems and Mathematical Physics" on the occasion of V. V. Kozlov 70th birthday January 20, 2020 15:45
30.
Ergodicity, mixing and KAM Sergei Kuksin International conference «Real and Complex Dynamical Systems», dedicated to the to the 75th anniversary of Yu. S. Il'yashenko November 30, 2018 11:55