Abstract
We consider the convergence in the L2 norm uniformly in time of the Navier-Stokes equations with Dirichlet boundary conditions to the Euler equations with slip boundary conditions We prove that if the Oleinik conditions of no back-flow in the trace of the Euler flow and of a lower bound for the Navier-Stokes vorticity is assumed in a Kato-like boundary layer then the inviscid limit holds.
Original language | English (US) |
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Pages (from-to) | 3075-3090 |
Number of pages | 16 |
Journal | Proceedings of the American Mathematical Society |
Volume | 143 |
Issue number | 7 |
DOIs | |
State | Published - 2015 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics
Keywords
- Boundary layer
- Euler equations
- Inviscid limit
- Navier-Stokes equations