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Kuksin, Sergei Borisovich

Total publications: 39 (33)
in MathSciNet: 32 (30)
in zbMATH: 26 (23)
in Web of Science: 18 (15)
in Scopus: 11 (10)
Cited articles: 27
Citations: 360
Presentations: 40

Number of views:
This page:7931
Abstract pages:17822
Full texts:5798
References:1331
Professor
Doctor of physico-mathematical sciences (1989)
Speciality: 01.01.03 (Mathematical physics)
Birth date: 2.03.1955

Subject:

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.


https://www.mathnet.ru/eng/person19490
https://ru.wikipedia.org/wiki/Kuksin,_Sergei_Borisovich
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:kuksin.sergei-b|kuksin.sergej-b
https://mathscinet.ams.org/mathscinet/MRAuthorID/212780
https://elibrary.ru/author_items.asp?authorid=3760
https://orcid.org/0000-0003-2322-2821
https://www.webofscience.com/wos/author/record/AAC-3293-2022
https://www.scopus.com/authid/detail.url?authorId=7003775978

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


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2023
1. Russian Math. Surveys, 78:4 (2023), 585–633  mathnet  crossref  crossref  mathscinet  adsnasa  isi  scopus
2. 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  mathnet  crossref  mathscinet; 5
3. 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  mathnet  crossref  crossref  mathscinet  adsnasa  isi  scopus
4. A. V. Bobylev, S. B. Kuksin, “Boltzmann equation and wave kinetic equations”, Keldysh Institute preprints, 2023  mathnet  crossref
5. Andrey Dymov, Sergei Kuksin, Alberto Maiocchi, Sergei Vlăduţ, “The Large-Period Limit for Equations of Discrete Turbulence”, Ann. Henri Poincaré, 24 (2023), 3685–3739  mathnet  crossref  mathscinet; 1

   2021
6. Andrey Dymov, Sergei Kuksin, “Formal expansions in stochastic model for wave turbulence 1: kinetic limit”, Comm. Math. Phys., 382 (2021), 951–1014 , arXiv: 1907.04531  mathnet  crossref  mathscinet  isi  scopus; 13

   2020
7. W. Jian, S. B. Kuksin, Y. Wu, “Krylov–Bogolyubov averaging”, Russian Math. Surveys, 75:3 (2020), 427–444  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
8. A. V. Dymov, S. B. Kuksin, “On the Zakharov–Lvov stochastic model for wave turbulence”, Dokl. Math., 101:2 (2020), 102–109  mathnet  crossref  crossref  zmath  isi  elib  scopus

   2018
9. 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  mathscinet  zmath  scopus 2

   2016
10. 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

   2013
11. 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  elib  elib  scopus
12. 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

   2007
13. Proc. Steklov Inst. Math., 259 (2007), 128–136  mathnet  crossref  mathscinet  zmath  elib  elib  scopus
14. 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

   2005
15. 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  crossref  mathscinet  zmath  isi 1
16. 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

   2004
17. 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  scopus
18. 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

   2003
19. 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

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

   1997
21. 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

   1993
22. 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

   1989
23. 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
24. S. B. Kuksin, “Perturbation of one-gap solutions of the Korteweg–de Vries equation”, Mat. Zametki, 46:5 (1989), 96–98  mathnet  mathscinet
25. 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
26. S. B. Kuksin, “Perturbation of quasiperiodic solutions of infinite-dimensional Hamiltonian systems”, Math. USSR-Izv., 32:1 (1989), 39–62  mathnet  crossref  mathscinet  zmath
27. 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

   1987
28. 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

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

   1987
30. 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

   1985
31. 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
32. 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
33. 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

   1984
34. 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
35. 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

   1983
36. 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

   1982
37. 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

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

   1980
39. 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. Ñëó÷àéíûå âîçìóùåíèÿ èíòåãðèðóåìûõ ñèñòåì ñ ïðèëîæåíèÿìè ê çàøóìëåííûì öåïî÷êàì îñöèëëÿòîðîâ
S. B. Kuksin
Dobrushin Mathematics Laboratory Seminar
March 19, 2024 16:00
2. Ñòðîãèå ðåçóëüòàòû äëÿ ñòîõàñòè÷åñêîé ìîäåëè âîëíîâîé òóðáóëåíòíîñòè Çàõàðîâà–Ëüâîâà
A. V. Dymov, S. B. Kuksin
Annual Session of Steklov Mathematical Institute (Best results 2023)
November 15, 2023 16:20   
3. Ñëó÷àéíûå âîçìóùåíèÿ ëèíåéíûõ è èíòåãðèðóåìûõ Ãàìèëüòîíîâûõ ñèñòåì
S. B. Kuksin
Traditional session of MIAN-PDMI "Differential Equations and Dynamical Systems"
May 14, 2023 10:45   
4. Lecture 10. Random dynamical systems
A. V. Dymov, S. B. Kuksin
Course by A. V. Dymov and S. B. Kuksin "Random dynamical systems"
April 28, 2023 18:00   
5. Òåîðèÿ òóðáóëåíòíîñòè À. Í. Êîëìîãîðîâà, åå ðàçâèòèå, êðèòèêà è ñòðîãàÿ îäíîìåðíàÿ ìîäåëü
S. B. Kuksin
Conference "Kolmogorov-120. MIAN"
April 26, 2023 16:00   
6. Lecture 9. Random dynamical systems
A. V. Dymov, S. B. Kuksin
Course by A. V. Dymov and S. B. Kuksin "Random dynamical systems"
April 21, 2023 18:00   
7. Lecture 8. Random dynamical systems
A. V. Dymov, S. B. Kuksin
Course by A. V. Dymov and S. B. Kuksin "Random dynamical systems"
April 14, 2023 18:00   
8. Lecture 7. Random dynamical systems
A. V. Dymov, S. B. Kuksin
Course by A. V. Dymov and S. B. Kuksin "Random dynamical systems"
April 7, 2023 18:00   
9. Lecture 5. Random dynamical systems
A. V. Dymov, S. B. Kuksin
Course by A. V. Dymov and S. B. Kuksin "Random dynamical systems"
March 24, 2023 18:00   
10. Lecture 4. Random dynamical systems
S. B. Kuksin
Course by A. V. Dymov and S. B. Kuksin "Random dynamical systems"
March 17, 2023 18:00   
11. Lecture 3. Random dynamical systems
A. V. Dymov, S. B. Kuksin
Course by A. V. Dymov and S. B. Kuksin "Random dynamical systems"
March 10, 2023 18:00   
12. Kolmogorov's theory of turbulence, the Landau criticism and their rigorous 1d versions
S. B. Kuksin
Beijing–Moscow Mathematics Colloquium
March 10, 2023 12:00
13. 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   
14. 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   
15. K41 and burgulence
S. B. Kuksin
Steklov Mathematical Institute Seminar
December 15, 2022 16:00   
16. On rigorous one-dimensional versions of two heuristic laws of Kolmogorov's theory of turbulence
S. B. Kuksin
Scientific seminar on the differential and functional differential equations
November 8, 2022 12:00   
17. On the 2/3- and 4/5-laws of the Kolmogorov theory of turbulence and their rigorous 1d versions
S. B. Kuksin
International Conference "New Trends in Mathematical Physics"
November 7, 2022 14:30   
18. Óðàâíåíèå Áþðãåðñà êàê óäèâèòåëüíàÿ ìîäåëü òåîðèè òóðáóëåíòíîñòè Êîëìîãîðîâà
S. B. Kuksin
Hamiltonian systems and statistical mechanics
October 17, 2022 16:30   
19. Òåîðèÿ òóðáóëåíòíîñòè À.Í. Êîëìîãîðîâà è åå ñòðîãàÿ îäíîìåðíàÿ ìîäåëü. Ëåêöèÿ 2
S. B. Kuksin
Scientific seminar on the differential and functional differential equations
May 26, 2022 15:00   
20. Òåîðèÿ òóðáóëåíòíîñòè Êîëìîãîðîâà Ê41 è åå ñòðîãàÿ îäíîìåðíàÿ ìîäåëü
S. B. Kuksin
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
May 25, 2022 14:00   
21. Óñðåäíåíèå äëÿ ñëó÷àéíî âîçìóùåííûõ èíòåãðèðóåìûõ ñèñòåì
S. B. Kuksin
Hamiltonian systems and statistical mechanics
May 23, 2022   
22. Òåîðèÿ òóðáóëåíòíîñòè À.Í. Êîëìîãîðîâà è åå ñòðîãàÿ îäíîìåðíàÿ ìîäåëü. Ëåêöèÿ 1
S. B. Kuksin
Scientific seminar on the differential and functional differential equations
May 19, 2022 15:00   
23. Two models for wave turbulence
S. B. Kuksin
Dynamical Systems and PDEs
February 16, 2022 18:00   
24. Çàñåäàíèå, ïîñâÿùåííîå 100-ëåòèþ ñî äíÿ ðîæäåíèÿ Ìàðêà Èîñèôîâè÷à Âèøèêà
A. V. Fursikov, A. S. Demidov, S. B. Kuksin, V. V. Chepyzhov, V. M. Tikhomirov, Yu. A. Dubinskii, A. L. Skubachevskii, V. B. Demidovich
Meetings of the Moscow Mathematical Society
November 9, 2021 18:30   
25. Long-time behaviour of solutions for nonlinear PDEs with bounded random forces
S. B. Kuksin
Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021
July 5, 2021 18:00   
26. Ìèíè-êîíôåðåíöèÿ, ïîñâÿù¸ííàÿ 75-ëåòèþ Àëåêñàíäðà Èëüè÷à Êîìå÷à
A. A. Ilyin, S. B. Kuksin, A. I. Shnirel'man
Dobrushin Mathematics Laboratory Seminar
May 25, 2021 16:00
27. Kolmogorov theory of turbulence and its rigorous model, given by the Burgers equation
S. B. Kuksin
Dynamical Systems and PDEs
September 30, 2020 17:00   
28. 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   
29. 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   
30. Controllability, mixing and the Nash-Moser scheme for SPDEs
S. B. Kuksin
Dobrushin Mathematics Laboratory Seminar
May 23, 2017 16:00
31. Small-amplitude solutions for space-multidimensional hamiltonian PDEs under periodic boundary conditions
S. B. Kuksin
Dobrushin Mathematics Laboratory Seminar
July 12, 2016 16:00
32. Ìàëîàìïëèòóäíûå ðåøåíèÿ ìíîãîìåðíûõ âîëíîâûõ óðàâíåíèé
S. B. Kuksin
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
October 22, 2015 11:00
33. KAM theory and the 3d Euler equation
S. B. Kuksin
International scientific conference "Days of Classical Mechanics"
January 26, 2015 10:05   
34. 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
35. 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   
36. What is interesting in differential equations with random force?
S. B. Kuksin
Globus Seminar
August 30, 2012 15:40   
37. Hydrodynamics and turbulence
S. B. Kuksin
Summer School "Contemporary Mathematics", 2010
July 26, 2010 12:45   
38. 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   
39. Dissipative perturbations of integrable PDE
S. B. Kuksin
International Conference of Steklov Institute Members, working outside Russia
June 5, 2009 12:30   
40. 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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