Global Well-Posedness of the 2D Boussinesq Equations with Partial Dissipation

被引：1
|
作者：
Jin, Xueting [1 ]
Xiao, Yuelong [2 ]
Yu, Huan [3 ]
机构：
[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
[2] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China
[3] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2022年 / 42卷 / 04期
基金：
北京市自然科学基金;
关键词：
Two-dimensional Boussinesq equations; global well-posedness; partial dissipation and diffusion; PARTIAL VISCOSITY; REGULARITY;
D O I：
10.1007/s10473-022-0403-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove the global well-posedness of the 2D Boussinesq equations with three kinds of partial dissipation; among these the initial data (u(0), theta(0)) is required such that its own and the derivative of one of its directions (x, y) are assumed to be L-2(Double-struck capital R-2). Our results only need the lower regularity of the initial data, which ensures the uniqueness of the solutions.
引用
收藏
页码：1293 / 1309
页数：17
相关论文
共 50 条
12345