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On the existence of solutions to the Navier–Stokes–Poisson equations of a two-dimensional compressible flow

✍ Scribed by Yinghui Zhang; Zhong Tan

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
216 KB
Volume
30
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper, we consider the Navier–Stokes–Poisson equations for compressible, barotropic flow in two space dimensions. We introduce useful tools from the theory of Orlicz spaces. Then we prove the existence of globally defined finite energy weak solutions for the pressure satisfying p(ϱ)=__a__ϱlog^d^ (ϱ) for large ϱ. Here d>1 and a>0. Copyright © 2006 John Wiley & Sons, Ltd.

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