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

被引：0
|
作者：
Xueting Jin
Yuelong Xiao
Huan Yu
机构：
[1] Capital Normal University,School of Mathematical Sciences
[2] Xiangtan University,School of Mathematics and Computational Science
[3] Beijing Information Science and Technology University,School of Applied Science
来源：
Acta Mathematica Scientia | 2022年 / 42卷
关键词：
Two-dimensional Boussinesq equations; global well-posedness; partial dissipation and diffusion; 35Q35; 76D03;
D O I：
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中图分类号：
学科分类号：
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 (u0, θ0) is required such that its own and the derivative of one of its directions (x, y) are assumed to be L2(ℝ2). Our results only need the lower regularity of the initial data, which ensures the uniqueness of the solutions.
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页码：1293 / 1309
页数：16
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