Zobrazeno 1 - 10
of 221
pro vyhledávání: '"Sinai, Ya."'
We report results on the behavior of a particular incompressible Navier-Stokes (NS) flow in the whole space $\R^{3}$, related to the complex singular solutions introduced by Li and Sinai in \cite{LiSi08} that blow up at a finite time. The flow exhibi
Externí odkaz:
http://arxiv.org/abs/1910.13833
The purpose of this paper is to give a complete derivation of the limiting distribution of large Frobenius numbers outlined in earlier work of J. Bourgain and Ya. Sinai and fill some gaps formulated there as hypotheses.
Comment: 13 pages
Comment: 13 pages
Externí odkaz:
http://arxiv.org/abs/0810.5219
Autor:
Arnold, M. D., Sinai, Ya. G.
Publikováno v:
Pure Appl. Math. Q. 4 (2008), no.1, 71-79
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 series for the solution of this system.
Externí odkaz:
http://arxiv.org/abs/0710.3842
Publikováno v:
Russian Mathematical Surveys, volume 57, 2002, pp. 1-84
We study a dynamical system consisting of a massive piston in a cubical container of large size $L$ filled with an ideal gas. The piston has mass $M\sim L^2$ and undergoes elastic collisions with $N\sim L^3$ non-interacting gas particles of mass $m=1
Externí odkaz:
http://arxiv.org/abs/cond-mat/0301163
Publikováno v:
Journal of Statistical Physics, volume 109, 2002, pp. 529-548
We continue the study of the time evolution of a system consisting of a piston in a cubical container of large size $L$ filled with an ideal gas. The piston has mass $M\sim L^2$ and undergoes elastic collisions with $N\sim L^3$ gas particles of mass
Externí odkaz:
http://arxiv.org/abs/cond-mat/0212637
Publikováno v:
Ann. of Math. (2) 151 (2000), no. 3, 877-960
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 t. We prove the existence and uniqueness of an inv
Externí odkaz:
http://arxiv.org/abs/math/0005306
Autor:
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 technique is inspired by constructions in the Dynam
Externí odkaz:
http://arxiv.org/abs/math/9903042
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 according to Gauss' principle of least constraint (a model
Externí odkaz:
http://arxiv.org/abs/chao-dyn/9302003
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Publikováno v:
ЖУРНАЛ ЭКСПЕРИМЕНТАЛЬНОЙ И ТЕОРЕТИЧЕСКОЙ ФИЗИКИ. 158:395-398