The inviscid limit for the $2d$ Navier-Stokes equations in bounded domains Institutional Repository Document uri icon

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.

author list (cited authors)

  • Bardos, C., Nguyen, T. T., Nguyen, T. T., & Titi, E. S.

citation count

  • 0

complete list of authors

  • Bardos, Claude||Nguyen, Trinh T||Nguyen, Toan T||Titi, Edriss S

Book Title

  • arXiv

publication date

  • November 2021