Article ID Journal Published Year Pages File Type
842700 Nonlinear Analysis: Theory, Methods & Applications 2009 19 Pages PDF
Abstract

We study the full Navier–Stokes–Poisson equations for viscous polytropic fluids. We prove the existence and uniqueness of local strong solutions for all initial values satisfying some compatibility conditions. It is important that we allow the initial density to be vacuum.

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Physical Sciences and Engineering Engineering Engineering (General)
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Local existence of the strong solutions for the full Navier–Stokes–Poisson equations
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