Global smooth solutions to the two dimensional compressible Euler equations with the rotational Coriolis forcing

被引：1

作者：

Wang, Yuzhu ^{[1
]}

Zhao, Feiyan ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2022年 / 68卷

关键词：

Rotating Euler equations; Global smooth solutions; Ghost weight; Relative vorticity; SHALLOW-WATER; AXISYMMETRICAL SOLUTIONS; CHAPLYGIN GASES; EXISTENCE; BEHAVIOR;

D O I：

10.1016/j.nonrwa.2022.103677

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the small initial value problem for the two dimensional compressible Euler equations with the rotational Coriolis forcing. Based on the effect of Klein-Gordon equations, the L-infinity estimate, the ghost weight energy estimate and the bootstrap argument, global smooth solutions are proved under the assumption of small data and zero relative vorticity. (C) 2022 Elsevier Ltd. All rights reserved.

引用

页数：15

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