On the existence of solutions to the Navier–Stokes–Poisson equations of a two‐dimensional compressible flow |
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| Authors: | Yinghui Zhang Zhong Tan |
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| Institution: | 1. School of Mathematical Sciences, Xiamen University, Fujian, Xiamen 361005, ChinaSchool of Mathematical Sciences, Xiamen University, Fujian, Xiamen 361005, China===;2. School of Mathematical Sciences, Xiamen University, Fujian, Xiamen 361005, China |
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| 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(?)=a?logd (?) for large ?. Here d>1 and a>0. Copyright © 2006 John Wiley & Sons, Ltd. |
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| Keywords: | Navier– Stokes– Poisson equation barotropic flow Orlicz spaces weak solution |
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