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math.AP2007★ 2 cited
Global Existence Theorem for the Solutions of 3d Navier-Stokes System on T3 for small initial data from the space P(a)
M. D. Arnold, Ya. G. Sinai
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 i…
math.AP2000★ 14 cited
Invariant measures for Burgers equation with stochastic forcing
Weinan E, K. M. Khanin, A. E. Mazel +1
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…