Global well-posedness of classical solution to the interactions between short-long waves with large initial data

被引：0

作者：

Huang, Bingkang ^{[1
]}

Zhang, Lan ^{[2
,3
]}

机构：

[1] Hefei Univ Technol, Sch Math, Hefei 230009, Peoples R China

[2] Wuhan Univ Technol, Ctr Math Sci, Wuhan 430070, Peoples R China

[3] Wuhan Univ Technol, Dept Math, Wuhan 430070, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2022年 / 318卷

基金：

中国国家自然科学基金;

关键词：

Well-posedness; Large initial data; Micropolar equations; Schrodinger equation; NAVIER-STOKES EQUATIONS; AURORA TYPE PHENOMENA; SMOOTH SOLUTIONS; VANISHING VISCOSITY; SYSTEMS;

D O I：

10.1016/j.jde.2022.02.028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present the global existence and uniqueness of the classical solution to a system describing the in-teractions of short waves and long waves. This coupled system is formed by the compressible micropolar equations in Eulerian coordinates and the Schrodinger equation in Lagrangian coordinates. This paper es-tablishes a sufficient frame condition to guarantee the well-posedness of the coupled system with large initial data in the two-dimensional torus.(c) 2022 Elsevier Inc. All rights reserved.

引用

页码：187 / 229

页数：43