Anisotropic Navier-Stokes equations in a bounded cylindrical domain

Marius Paicu; Geneviève Raugel

Anisotropic Navier-Stokes equations in a bounded cylindrical domain

Analysis of PDEs 2008-10-01 v1

Authors: Marius Paicu , Geneviève Raugel

Abstract

We study the global and local existence and uniqueness of solutions to the Navier-Stokes equations with anisotropic viscosity in a bounded cylindrical domain $Q=\Omega\times (0,1)$ , where $\Omega$ is a star-shaped domain in $R^2$ . In this paper, we consider the case of homogeneous Dirichlet boundary conditions on the lateral boundary and vanishing normal trace on the top and the bottom.

Keywords

navier-stokes equations compressible navier-stokes equations dirichlet problem

Cite

@article{arxiv.0809.5190,
  title  = {Anisotropic Navier-Stokes equations in a bounded cylindrical domain},
  author = {Marius Paicu and Geneviève Raugel},
  journal= {arXiv preprint arXiv:0809.5190},
  year   = {2008}
}

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