期刊
COMMUNICATIONS IN MATHEMATICAL PHYSICS
卷 266, 期 3, 页码 631-645出版社
SPRINGER
DOI: 10.1007/s00220-006-0058-5
关键词
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We prove existence and regularity of the stochastic flows used in the stochastic Lagrangian formulation of the incompressible Navier-Stokes equations (with periodic boundary conditions), and consequently obtain a C-k,C-alpha local existence result for the Navier-Stokes equations. Our estimates are independent of viscosity, allowing us to consider the inviscid limit. We show that as nu -> 0, solutions of the stochastic Lagrangian formulation (with periodic boundary conditions) converge to solutions of the Euler equations at the rate of O(root nu t).
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