Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6417840 | Journal of Mathematical Analysis and Applications | 2014 | 21 Pages |
Abstract
This paper studies the incompressible limit of global strong solutions to the three-dimensional barotropic Navier-Stokes equations associated with Navier's slip boundary conditions, provided that the initial data are sufficiently small, and “well-prepared” in the sense that the time derivatives, up to first order, of solutions are bounded initially. The main idea is to derive a differential inequality with decay, so that the estimates are bounded uniformly both in the Mach number ϵâ(0,ϵ0] (for some ϵ0>0) and the time tâ[0,+â).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yaobin Ou, Dandan Ren,