Local existence with low regularity for the 2D compressible Euler equations

被引：2

作者：

Zhang, Huali ^{[1
]}

机构：

[1] Changsha Univ Sci & Technol, Sch Sci & Stat, Wanjiali South Rd 960, Changsha 410114, Peoples R China

来源：

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS | 2021年 / 18卷 / 03期

基金：

中国国家自然科学基金; 瑞典研究理事会;

关键词：

Compressible Euler equations; low regularity; wave-transport system; hyperbolic system; LINEAR WAVE-EQUATIONS; WELL-POSEDNESS; NONSMOOTH COEFFICIENTS; ROUGH SOLUTIONS; OPERATORS;

D O I：

10.1142/S0219891621500211

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the local existence, uniqueness and stability of local solutions for the Cauchy problem of two-dimensional compressible Euler equations, where the initial data of velocity, density, specific vorticity v, rho, W is an element of H-s(s > 7 4) and the spatial derivative of specific vorticity partial derivative W is an element of L-infinity(x).

引用

页码：701 / 728

页数：28

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