Large friction limit of the compressible Navier-Stokes equations with Navier Boundary conditions in general three-dimensional domains

Anthony Suen

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arXiv · 2011.11208

Large friction limit of the compressible Navier-Stokes equations with Navier Boundary conditions in general three-dimensional domains

Anthony Suen

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Abstract

In this paper, we study the Navier-Stokes equations of compressible, barotropic flow posed in a bounded set in $\mathbb{R}^3$ with different boundary conditions. Specifically, we prove that the local-in-time smooth solution of the Navier-Stokes equations with Navier boundary condition converges to the smooth solution of the Navier-Stokes equations with no-slip boundary condition as the Navier friction coefficient tends to infinity.

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Anthony Suen. 2020-11-23. Large friction limit of the compressible Navier-Stokes equations with Navier Boundary conditions in general three-dimensional domains. https://arxiv.org/abs/2011.11208

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