Kuksin, Sergei Borisovich

Total publications: 31 (25)
in MathSciNet: 25 (23)
in zbMATH: 23 (20)
in Web of Science: 13 (10)
in Scopus: 5 (4)
Cited articles: 17
Citations in Math-Net.Ru: 92
Citations in Web of Science: 100
Citations in Scopus: 14
Presentations: 12

Number of views:
This page:3506
Abstract pages:10311
Full texts:3083
Doctor of physico-mathematical sciences
E-mail: ,


Infinite-dimensional Hamiltonian systems, including partial differential equations of Hamiltonian form. KAM-theory. Randomly perturbed partial differential equations and statistical hydrodynamics. Turbulence in nonlinear PDEs. Elliptic equations for maps valued in compact manifolds.
List of publications on Google Scholar|kuksin.sergej-b

Full list of publications:
| by years | by types | by times cited in WoS | by times cited in Scopus | scientific publications | common list |

1. 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  mathnet  crossref

2. L. H. Eliasson, B. Grébert, S. B. Kuksin, “A KAM theorem for space-multidimensional Hamiltonian PDEs”, Proc. Steklov Inst. Math., 295 (2016), 129–147  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus

3. S. B. Kuksin, A. I. Neishtadt, “On quantum averaging, quantum KAM, and quantum diffusion”, Russian Math. Surveys, 68:2 (2013), 335–348  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib  elib  scopus (cited: 2)
4. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

5. Proc. Steklov Inst. Math., 259 (2007), 128–136  mathnet  crossref  mathscinet  zmath  elib  elib  scopus (cited: 4)
6. 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  mathnet  crossref  crossref  adsnasa  isi  elib  scopus

7. 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  mathnet (cited: 1)  crossref  mathscinet  zmath  isi (cited: 1)
8. 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  mathnet  zmath

9. S. B. Kuksin, A. R. Shirikyan, “On Random Attractors for Mixing Type Systems”, Funct. Anal. Appl., 38:1 (2004), 28–37  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 9)  scopus (cited: 8)
10. G. Kokarev, S. Kuksin, “Quasilinear elliptic differential equations on mappings of manifolds. I”, St. Petersburg Math. J., 15:4 (2004), 469–505  mathnet  crossref  mathscinet  zmath

11. S. B. Kuksin, N. S. Nadirashvili, A. L. Piatnitski, “Hölder estimates for solutions of parabolic SPDEs”, Theory Probab. Appl., 47:1 (2003), 157–163  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)

12. S. B. Kuksin, “Stochastic Nonlinear Schrödinger Equation. 1. A priori Estimates”, Proc. Steklov Inst. Math., 225 (1999), 219–242  mathnet  mathscinet  zmath

13. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi

14. 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  mathnet  mathscinet  zmath

15. S. B. Kuksin, “Conservative perturbations of infinite-dimensional linear systems depending on a vector parameter”, Funct. Anal. Appl., 23:1 (1989), 62–63  mathnet  crossref  mathscinet  zmath  isi
16. S. B. Kuksin, “Perturbation of one-gap solutions of the Korteweg–de Vries equation”, Mat. Zametki, 46:5 (1989), 96–98  mathnet  mathscinet
17. S. B. Kuksin, “Reducible variational equations and the perturbation of invariant tori of Hamiltonian systems”, Math. Notes, 45:5 (1989), 373–381  mathnet  crossref  mathscinet  zmath  isi (cited: 5)
18. S. B. Kuksin, “Perturbation of quasiperiodic solutions of infinite-dimensional Hamiltonian systems”, Math. USSR-Izv., 32:1 (1989), 39–62  mathnet  crossref  mathscinet  zmath
19. 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  mathnet  crossref  mathscinet  zmath

20. S. B. Kuksin, “Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum”, Funct. Anal. Appl., 21:3 (1987), 192–205  mathnet  crossref  mathscinet  zmath  isi (cited: 81)

21. S. B. Kuksin, “Estimating the norm of an inverse matrix which depends on vector control”, Avtomat. i Telemekh., 1986, no. 3, 59–62  mathnet

22. M. I. Vishik, S. B. Kuksin, “Perturbations of quasilinear elliptic equations and Fredholm manifolds”, Math. USSR-Sb., 58:1 (1987), 223–243  mathnet  crossref  mathscinet  zmath

23. 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  mathnet  mathscinet
24. M. I. Vishik, S. B. Kuksin, “Quasilinear elliptic equations and Fredholm manifolds”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1985, no. 6, 23–30  mathnet  mathscinet  zmath
25. 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  mathnet

26. 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  mathnet  mathscinet  zmath
27. S. B. Kuksin, “Conditions on the discontinuity of solutions of Prandtl–Reuss equations”, Dokl. Akad. Nauk SSSR, 279:5 (1984), 1065–1068  mathnet  mathscinet  zmath

28. 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  mathnet

29. S. B. Kuksin, “An application of monotonic semigroups in the theory of perfectly elastic plasticity”, Russian Math. Surveys, 37:5 (1982), 182–183  mathnet  crossref  mathscinet  zmath  adsnasa  isi

30. S. B. Kuksin, “Diffeomorphisms of function spaces corresponding to quasilinear parabolic equations”, Math. USSR-Sb., 45:3 (1983), 359–378  mathnet  crossref  mathscinet  zmath

31. S. B. Kuksin, “On quasilinear parabolic equations”, Russian Math. Surveys, 35:4 (1980), 173–174  mathnet  crossref  mathscinet  zmath  adsnasa  isi

Presentations in Math-Net.Ru
1. 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   
2. Controllability, mixing and the Nash-Moser scheme for SPDEs
S. B. Kuksin
Dobrushin Mathematics Laboratory Seminar
May 23, 2017 16:00
3. Small-amplitude solutions for space-multidimensional hamiltonian PDEs under periodic boundary conditions
S. B. Kuksin
Dobrushin Mathematics Laboratory Seminar
July 12, 2016 16:00
4. Малоамплитудные решения многомерных волновых уравнений
S. B. Kuksin
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
October 22, 2015 11:00
5. KAM theory and the 3d Euler equation
S. B. Kuksin
International scientific conference "Days of Classical Mechanics"
January 26, 2015 10:05   
6. Small oscillations in space-multidimensional Hamiltonian PDE
S. B. Kuksin
The Seventh International Conference on Differential and Functional Differential Equations
August 28, 2014 10:00
7. KAM-theory for PDE with one and many space variables
S. B. Kuksin
International conference "Analysis and Singularities" dedicated to the 75th anniversary of Vladimir Igorevich Arnold
December 17, 2012 15:40   
8. What is interesting in differential equations with random force?
S. B. Kuksin
Globus Seminar
August 30, 2012 15:40   
9. Hydrodynamics and turbulence
S. B. Kuksin
Summer School "Contemporary Mathematics", 2010
July 26, 2010 12:45   
10. Speech at the General meeting of Steklov members dedicated to 75th anniversary of Steklov Mathematical Institute
S. B. Kuksin
General meeting of Steklov members dedicated to 75th anniversary of Steklov Mathematical Institute
June 5, 2009 17:30   
11. Dissipative perturbations of integrable PDE
S. B. Kuksin
International Conference of Steklov Institute Members, working outside Russia
June 5, 2009 12:30   
12. Three theorems on perturbed KdV equation on a circle
S. B. Kuksin
International conference "Analysis and Singularities" dedicated to 70th anniversary of Vladimir Igorevich Arnold
August 24, 2007 09:00   

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