منابع مشابه
The Inviscid Limit for Two-dimensional Incompressible Fluids with Unbounded Vorticity
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...
متن کاملRemarks on High Reynolds Numbers Hydrodynamics and the Inviscid Limit
We prove that any weak space-time L vanishing viscosity limit of a sequence of strong solutions of Navier-Stokes equations in a bounded domain of R satisfies the Euler equation if the solutions’ local enstrophies are uniformly bounded. We also prove that t − a.e. weak L inviscid limits of solutions of 3D Navier-Stokes equations in bounded domains are weak solutions of the Euler equation if they...
متن کاملThe Inviscid Limit and Boundary Layers for Navier-Stokes flows
The validity of the vanishing viscosity limit, that is, whether solutions of the Navier-Stokes equations modeling viscous incompressible flows converge to solutions of the Euler equations modeling inviscid incompressible flows as viscosity approaches zero, is one of the most fundamental issues in mathematical fluid mechanics. The problem is classified into two categories: the case when the phys...
متن کاملRemarks about the inviscid limit of the Navier - Stokes system
In this paper we prove two results about the inviscid limit of the NavierStokes system. The first one concerns the convergence in H of a sequence of solutions to the Navier-Stokes system when the viscosity goes to zero and the initial data is inH. The second result deals with the best rate of convergence for vortex patch initial data in 2 and 3 dimensions. We present here a simple proof which a...
متن کاملThe Inviscid Limit of the Complex Ginzburg–Landau Equation
Naturally the question of inviscid limit arises. Does the solution u of the CGL equation (1.1) tend to (in an appropriate space norm) the solution v of the NLS equation (1.2) as the parameters a and b tend to 0? What is the convergence rate? The answers are not immediate especially when the initial data for these equations are not smooth. Because of its importance in both mathematical theory an...
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2019
ISSN: 0003-9527,1432-0673
DOI: 10.1007/s00205-019-01398-1