The inviscid limit for the 2D Navier-Stokes equations in bounded domains
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Bardos, Claude
Nguyen, Trinh T
Nguyen, Toan T
Titi, Edriss S
Abstract
We prove the inviscid limit for the incompressible Navier-Stokes equations for data that are analytic only near the boundary in a general two-dimensional bounded domain. Our proof is direct, using the vorticity formulation with a nonlocal boundary condition, the explicit semigroup of the linear Stokes problem near the flatten boundary, and the standard wellposedness theory of Navier-Stokes equations in Sobolev spaces away from the boundary.
Description
Keywords
math.AP, math.AP
Journal Title
Kinetic and Related Models
Conference Name
Journal ISSN
1937-5093
1937-5077
1937-5077
Volume Title
Publisher
American Institute of Mathematical Sciences (AIMS)