On the Inviscid Limit for Two-Dimensional Incompressible Flow with Navier Friction Condition
نویسندگان
چکیده
منابع مشابه
On the inviscid limit for 2D incompressible flow with Navier friction condition
In [1], T. Clopeau, A. Mikelić, and R. Robert studied the inviscid limit of the 2D incompressible Navier-Stokes equations in a bounded domain subject to Navier friction-type boundary conditions. They proved that the inviscid limit satisfies the incompressible Euler equations and their result ultimately includes flows generated by bounded initial vorticities. Our purpose in this article is to ad...
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In [C2], Chemin shows that solutions of the Navier-Stokes equations in R for an incompressible fluid whose initial vorticity lies in L ∩ L∞ converge in the zero-viscosity limit in the L–norm to a solution of the Euler equations, convergence being uniform over any finite time interval. In [Y2], Yudovich assumes an initial vorticity lying in L for all p ≥ p0, and establishes the uniqueness of sol...
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In a recent paper [12], Vishik proved the global wellposedness of the two-dimensional Euler equation in the critical Besov space B 2,1. In the present paper we prove that the Navier-Stokes system is globally well-posed in B 2,1, with uniform estimates on the viscosity. We prove also a global result of inviscid limit. The convergence rate in L is of order ν.
متن کاملRate of Convergence in Inviscid Limit for 2D Navier-Stokes Equations with Navier Fricition Condition for Nonsmooth Initial Data
We are interested in the rate of convergence of solutions of 2D Navier-Stokes equations in a smooth bounded domain as the viscosity tends to zero under Navier friction condition. If the initial velocity is smooth enough( ), it is known that the rate of convergence is linearly propotional to the viscosity. Here, we consider the rate of convergence for nonsmooth velocity fields when the gradient ...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2005
ISSN: 0036-1410,1095-7154
DOI: 10.1137/s0036141003432341