# Existence results for viscous polytropic fluids with vacuum

Preprint Series # 675
Cho, Yonggeun and Kim, Hyunseok Existence results for viscous polytropic fluids with vacuum. (2004);

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## Abstract

We consider the full Navier-Stokes equations for viscous polytropic fluids with nonnegative thermal conductivity. We prove the existence of unique local strong solutions for all initial data satisfying some compatibility condition. The initial density need not be positive and may vanish in an open set. Moreover our results hold for both bounded and unbounded domains.

Item Type: Preprint viscous polytropic fluids, compressible Navier-Stokes equations, vacuum 35-xx PARTIAL DIFFERENTIAL EQUATIONS 609