Probabilistic models of mathematical physics, Stochastic partial differential equations, Limit theorems of probability theory
Keywords:
Stochastic Navier-Stokes system • Equations with memory • Gibbsian dynamics
Representative Publications
Bakhtin Yu.Yu. and Dinaburg E.I. and Sinai Ya.G., On solutions of the Navier-Stokes system with infinite energy and enstrophy. In memory of A.A.Bolibrukh,
Uspekhi Mat. Nauk, vol. 59 no. 6
(2004),
pp. in print
Bakhtin Yu. Yu., Existence and uniqueness of stationary solutions for 3D Navier-Stokes system with small random forcing via stochastic cascades,
Submitted to J. Stat. Phys.
(Submitted, 2004)
Arnold M.D.and Bakhtin Yu. Yu. and Dinaburg E.I., Regularity of Solutions to Vorticity Navier--Stokes System on $\mathbfR^2.$,
Accepted for publication in Comm. Math. Phys.
(Accepted, 2004)
Bakhtin Yu.Yu. and Mattingly J.C., Stationary solutions of stochastic differential equations with memory and stochastic partial differential equations,
Accepted for publication in Commun. Contemp. Math
(Accepted, 2004)
Bakhtin, Yu. Yu., A functional central limit theorem for transformed solutions of the multidimensional Burgers equation with random initial data,
Teor. Veroyatnost. i Primenen., vol. 46 no. 3
(2001),
pp. 427--448
