## Uniform Regularity and Vanishing Viscosity Limit for the Compressible Navier-Stokes with General Navier-Slip Boundary Conditions in Three-Dimensional Domains

- Yong Wang, Zhouping Xin, Yan Yong
- SIAM J. Math. Analysis
- 2015

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@inproceedings{MasmoudiUniformRF, title={Uniform Regularity for the Navier-stokes Equation with Navier Boundary Condition}, author={Nader Masmoudi and Frederic Rousset} }

We prove that there exists an interval of time which is uniform in the vanishing viscosity limit and for which the Navier-Stokes equation with Navier boundary condition has a strong solution. This solution is uniformly bounded in a conormal Sobolev space and has only one normal derivative bounded in L ∞. This allows to get the vanishing viscosity limit to the incompressible Euler system from a strong compactness argument.

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