Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024537 | Nonlinear Analysis: Theory, Methods & Applications | 2017 | 14 Pages |
Abstract
We consider suitable weak solutions to the Navier-Stokes equations in time varying domains. We develop Schauder theory for the approximate Stokes equations in time varying domains whose solutions satisfy a uniform localized energy estimate including boundary. Existence of suitable weak solutions in time varying domains follows from compactness in Lebesgue and Sobolev spaces.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Hi Jun Choe, Yunsoo Jang, Minsuk Yang,