Local classical solutions of compressible Navier-Stokes-Smoluchowski equations with vacuum
Local classical solutions of compressible Navier-Stokes-Smoluchowski equations with vacuum
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DOI：
10.3934/dcdss.2016072
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发表时间：
2016-11
期刊：
影响因子：
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通讯作者：
Bingyuan Huang;S. Ding;Huanyao Wen
中科院分区：
文献类型：
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作者：
Bingyuan Huang;S. Ding;Huanyao Wen
本文研究的是 $\mathbb{R}^3$ 中真空的可压缩 Navier-Stokes-Smoluchowski 方程的柯西问题。我们证明了局部强解的存在性和唯一性，然后通过推导$t>0$时强解的平滑效果，得到局部经典解。
This paper is concerned with the Cauchy problem for compressible Navier-Stokes-Smoluchowski equations with vacuum in $\mathbb{R}^3$. We prove both existence and uniqueness of the local strong solution, and then obtain a local classical solution by deriving the smoothing effect of the strong solution for $t>0$.