Sergei Borisovich Kuksin (Сергей Борисович Куксин, born 2 March 1955) is a French and Russian mathematician, specializing in
partial differential equation
In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a Multivariable calculus, multivariable function.
The function is often thought of as an "unknown" to be sol ...
s (PDEs).
Kuksin received his doctorate under the supervision of
Mark Vishik at
Moscow State University in 1981. He was at the
Steklov Institute
Steklov Institute of Mathematics or Steklov Mathematical Institute (russian: Математический институт имени В.А.Стеклова) is a premier research institute based in Moscow, specialized in mathematics, and a part o ...
in Moscow and at the
Heriot-Watt University
Heriot-Watt University ( gd, Oilthigh Heriot-Watt) is a public research university based in Edinburgh, Scotland. It was established in 1821 as the School of Arts of Edinburgh, the world's first mechanics' institute, and subsequently granted univ ...
and is a ''directeur de recherché'' (senior researcher) at the Institut Mathématiques de Jussieu of the
Paris Diderot University (Paris VII).
His research deals with
KAM theory
Kaam (Gurmukhi: ਕਾਮ ''Kāma'') in common usage, the term stands for 'excessive passion for sexual pleasure' and it is in this sense that it is considered to be an evil in Sikhism.
In Sikhism it is believed that Kaam can be overcome ...
in partial differential equations (''i.e.'' infinite dimensional Hamiltonian systems); partial differential equations involved with random perturbations, turbulence and statistical hydrodynamics; and elliptic PDEs for functions between compact manifolds.
In 1992 he was an invited speaker with talk ''KAM theory for partial differential equations'' at the European Congress of European Mathematicians in Paris. In 1998 he was an invited speaker at
International Congress of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU).
The Fields Medals, the Nevanlinna Prize (to be rename ...
in
Berlin. In 2016 he received the Lyapunov Prize from the
Russian Academy of Sciences.
Selected publications
Articles
* Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum, Functional Analysis and Applications, Vol. 21, 1987, pp. 192–205
* with Jürgen Pöschel: Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation, Annals of Mathematics, Vol. 143, 1996, pp. 149–179
A KAM-theorem for equations of the Korteweg-de Vries type Rev. Math. Phys., Vol. 10, 1998, pp. 1–64
* with Armen Shirikyan: Stochastic Dissipative PDE's and Gibbs measures, Communications in Mathematical Physics, Vol. 213, 2000, pp. 291–330
* with A. Shirikyan: A Coupling Approach to Randomly Forced Nonlinear PDEs. I, Communications in Mathematical Physics, Vol. 221, 2001, pp. 351–366
* with A. Shirikyan: Ergodicity for the randomly forced 2D Navier-Stokes equations, Mathematical Physics, Analysis and Geometry, Vol. 4, 2001, pp. 147–195
* with
Håkan Eliasson
Lars Håkan Eliasson (born 13 July 1952) is a Swedish mathematician.
Biography
Eliasson received in 1984 his PhD from the University of Stockholm under Jürgen Moser with thesis ''Hamiltonian systems with Poisson commuting integrals''. He was a pr ...
: KAM for the nonlinear Schrödinger equation, Annals of Mathematics, Vol. 188, 2010, pp. 371–435
Books
Nearly Integrable Infinite-Dimensional Hamiltonian Systems Lecture Notes in Mathematics 1556, Springer 1993
Analysis of Hamiltonian PDEs Clarendon Press, Oxford 2000
* with A. Shirkyan
Mathematics of two-dimensional turbulence Cambridge University Press 2012
References
External links
Homepage at the University of Paris VII*
{{DEFAULTSORT:Kuksin, Sergei Borisovich
20th-century Russian mathematicians
21st-century Russian mathematicians
PDE theorists
Soviet mathematicians
1955 births
Living people
Moscow State University alumni
Academic staff of Paris Diderot University