Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898704 | Journal of Differential Equations | 2018 | 21 Pages |
Abstract
We consider the limit αâ0 for a second grade fluid on a bounded domain with Dirichlet boundary conditions. We show convergence towards a solution of the Navier-Stokes equations under two different types of hypothesis on the initial velocity u0. If the product âu0âL2âu0âH1 is sufficiently small we prove global-in-time convergence. If there is no smallness assumption we obtain local-in-time convergence up to the time C/âu0âH14.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
A.V. Busuioc,