EXISTENCE OF GLOBAL SOLUTIONS TO FREE BOUNDARY VALUE PROBLEMS FOR BIPOLAR NAVIER-STOKES-POSSION SYSTEMS
EXISTENCE OF GLOBAL SOLUTIONS TO FREE BOUNDARY VALUE PROBLEMS FOR BIPOLAR NAVIER-STOKES-POSSION SYSTEMS
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2013
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本文考虑具有密度依赖粘性的一维可压缩双极Navier-Stokes-Possion（BNSP）方程的自由边值问题。对于能量有限且密度与真空连续相关的一般初值，证明了弱解的整体存在性。这将可压缩NS [27]的先前结果扩展到NSP。
In this article, we consider the free boundary value problem for one-dimensional compressible bipolar Navier-Stokes-Possion (BNSP) equations with density-dependent viscosities. For general initial data with finite energy and the density connecting with vacuum continuously, we prove the global existence of the weak solution. This extends the previous results for compressible NS [27] to NSP.