LIFESPAN OF SMOOTH SOLUTIONS TO THE TWO DIMENSIONAL ROTATIONAL COMPRESSIBLE EULER EQUATIONS WITH NONZERO RELATIVELY VORTICITY

被引：0

作者：

Zhao, Feiyan ^{[1
]}

Wang, Yuzhu ^{[1
]}

机构：

[1] Sch Math & Stat, North China Univ Water Resources & Elect Power, Zhengzhou 450011, Peoples R China

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2024年 / 25卷 / 08期

关键词：

Rotating Euler equations; lifespan of smooth solutions; ghost weight; nonzero relative vorticity; SHALLOW-WATER; AXISYMMETRICAL SOLUTIONS; GLOBAL EXISTENCE; CHAPLYGIN GASES; SINGULARITIES; BEHAVIOR;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the Cauchy problem for the two dimensional rotational compressible Euler equations with nonzero relatively vorticity. Lifespan of smooth solutions is obtained by using the ghost weight energy estimate, global smooth solutions to the two dimensional rotational compressible Euler equations with zero relatively vorticity and the bootstrapping argument. The result clarifies the influence of nonzero relatively vorticity on lifespan of smooth solutions.

引用

页码：1867 / 1880

页数：14

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