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：

暂无

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.

引用

页码：1293 / 1309

页数：16

共 50 条

[41] GLOBAL WELL-POSEDNESS OF STRONG SOLUTIONS TO THE 2D DAMPED BOUSSINESQ AND MHD EQUATIONS WITH LARGE VELOCITY
Wan, Renhui
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2017, 15 (06) : 1617 - 1626
[42] Global well-posedness for a model of 2D temperature-dependent Boussinesq equations without diffusivity
Ye, Zhuan
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 271 : 107 - 127
[43] Global well-posedness for the 2D Boussinesq system with variable viscosity and damping
Yu, Yanghai
Wu, Xing
Tang, Yanbin
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (08) : 3044 - 3061
[44] Oscillatory integral estimates and global well-posedness for the 2D Boussinesq equation
Farah, Luiz Gustavo
Rousset, Frederic
Tzvetkov, Nikolay
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2012, 43 (04): : 655 - 679
[45] GLOBAL WELL-POSEDNESS OF THE 3D GENERALIZED BOUSSINESQ EQUATIONS
Xu, Bo
Zhou, Jiang
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2024, 29 (12): : 4821 - 4829
[46] Oscillatory integral estimates and global well-posedness for the 2D Boussinesq equation
Luiz Gustavo Farah
Frederic Rousset
Nikolay Tzvetkov
Bulletin of the Brazilian Mathematical Society, New Series, 2012, 43 : 655 - 679
[47] Global well-posedness for the two-dimensional nonlinear Boussinesq equations with vertical dissipation
Wu, Gang
Zheng, Xiaoxin
JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 255 (09) : 2891 - 2926
[48] Persistence of Global Well-Posedness for Fractional Dissipation Boussinesq System
Su, Xing
Qin, Yuming
PROCEEDINGS OF 2016 INTERNATIONAL CONFERENCE ON MODELING, SIMULATION AND OPTIMIZATION TECHNOLOGIES AND APPLICATIONS (MSOTA2016), 2016, 58 : 74 - 77
[49] A new global well-posedness for the damped Boussinesq equations
Zhang, Nengqiu
JOURNAL OF MATHEMATICAL PHYSICS, 2019, 60 (03)
[50] The uniqueness of global solution for the 2D Boussinesq equations with partial dissipation
Sun, Weixian
Wang, Wenjuan
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 530 (02)

← 1 2 3 4 5 →