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.
|Number of pages||14|
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|Publication status||Published - 2017 Nov|
All Science Journal Classification (ASJC) codes
- Applied Mathematics