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
收藏
页码：187 / 229
页数：43
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