王金妮;刘进静;

• 1:西北大学数学学院

摘要(Abstract)：

主要研究一维可压缩等熵Navier-Stokes方程稀疏波在流近似下的零耗散极限问题.若对应的Euler方程的稀疏波解的一端与真空连接,本文采用流近似方法控制稀疏波中由真空引起的退化,并构造此可压缩等熵Navier-Stokes方程的一列解,进而运用基本能量方法证明随着黏性的消失,此列解收敛于Euler方程的稀疏波解,且得到一致收敛率.

关键词(KeyWords)： 零耗散极限;可压缩Navier-Stokes方程;稀疏波;真空;流近似

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金(11801444)

作者(Authors): 王金妮;刘进静;

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