Ya G. Sinai

Global Existence Theorem for the Solutions of 3d Navier-Stokes System on T3 for small initial data from the space P(a) (2007)

Arnold, M. D., Sinai, Ya. G.

We consider 3d Navier-Stokes system with periodic boundary conditions for small initial data from the space of Pseudomeasures. We provide asymptotic behavior for the coefficients in the perturbation...

Mathematical Events of the Twentieth Century (2006)

Bolibruch, A.A. (ed.), Sinai, Ya. G. (ed.), Osipov, Yu. S. (ed.)

Traducción de: Matematicheskie sobytiya XX veka

Mathematical Events of the Twentieth Century (2006)

Bolibruch, A.A. (ed.), Sinai, Ya. G. (ed.), Osipov, Yu. S. (ed.)

3-540-23235-4

Invariant measures for Burgers equation with stochastic forcing (2000)

E, Weinan, Khanin, K. M., Mazel, A. E., Sinai, Ya. G.

In this paper we study the following Burgers equation du/dt + d/dx (u^2/2) = epsilon d^2u/dx^2 + f(x,t) where f(x,t)=dF/dx(x,t) is a random forcing function, which is periodic in x and white noise in...

An Elementary Proof of the Existence and Uniqueness Theorem for the Navier-Stokes Equations (1999)

Mattingly, J. C., Sinai, Ya. G.

We give a geometric approach to proving know regularity and existence theorems for the 2D Navier-Stokes Equations. We feel this point of view is instructive in better understanding the dynamics. The...

Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics (1996)

Rykov, Yu. G., Sinai, Ya. G., Weinan, E.

Communications in Mathematical Physics c ○ Springer-Verlag 1997 Splitting of the Low Landau Levels into a Set of Positive Lebesgue Measure under Small Periodic Perturbations (1996)

E. I. Dinaburg, Ya. G. Sinai, A. B. Soshnikov

Dedicated to the memory of Roland Dobrushin Abstract: We study the spectral properties of a two-dimensional Schrödinger operator with a uniform magnetic field and a small external periodic field:...

Steady-State Electrical Conduction in the Periodic Lorentz Gas (1993)

Chernov, N. I., Eyink, G. L., Lebowitz, J. L., Sinai, Ya. G.

We study nonequilibrium steady states in the Lorentz gas of periodic scatterers when an external field is applied and the particle kinetic energy is held fixed by a ``thermostat'' constructed...

Non-KAM (Kolmogorov-Arnold-Moser) incommensurate states of the discrete Frenkel-Kontorova chain (1984)

Burkov, S.E., Sinai, Ya. G.

The depinning phase transition in the discrete Frenkel-Kontorova model is considered. It is found that there exists a set of irrational periodicities such that the chain is pinned at any periodic...

Non-KAM (Kolmogorov-Arnold-Moser) incommensurate states of the discrete Frenkel-Kontorova chain (1984)

Burkov, S.E., Sinai, Ya. G.

The depinning phase transition in the discrete Frenkel-Kontorova model is considered. It is found that there exists a set of irrational periodicities such that the chain is pinned at any periodic...

Non-KAM (Kolmogorov-Arnold-Moser) incommensurate states of the discrete Frenkel-Kontorova chain (1984)

Burkov, S.E., Sinai, Ya. G.

The depinning phase transition in the discrete Frenkel-Kontorova model is considered. It is found that there exists a set of irrational periodicities such that the chain is pinned at any periodic...

Critical indices for Dyson's asymptotically-hierarchical models (1975)

Bleher, P. M., Sinai, Ya. G.