关千等嫡可压缩Navier-Stokes-Poisson方程组的一些先验估计

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关千等嫡可压缩Navier-Stokes-Poisson方程组的一些先验估计
Local Weak Solution of the Barotropic Compressible Navier-Stokes-Poisson Equations

DOI: 10.12677/AAM.2021.101003, PDF, 下载: 574 浏览: 723
作者: 周杰：中央民族大学理学院，北京
关键词: Navier-Stokes-Poisson方程；存在性；弱解；Navier-Stokes-Poisson Equations； Existence； Weak Solution

摘要: 关千研究等嫡可压缩的Navier-Stokes-Poisson方程对Cauchy问题的弱解研究。我们需要有一些关千等嫡可压缩Navier-Stokes-Poisson方程组的一些先验估计。本文我们主要研究带有Poisson项的基本能量估计、B. Desjardin的估计方法。

Abstract: On the study of weak solutions of barotropic compressible Navier-Stokes-Poisson equa- tion to Cauchy problem. We need some prior estimates for barotropic compressible Navier-Stokes-Poisson equations. We mainly use energy estimation, B. Desjardin’s estimation method.

文章引用：周杰. 关千等嫡可压缩Navier-Stokes-Poisson方程组的一些先验估计[J]. 应用数学进展, 2021, 10(1): 24-36. https://doi.org/10.12677/AAM.2021.101003

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