Uniqueness and regularity for the 3D Boussinesq system with damping

被引：0
|
作者：
Kim Y.-H. [1 ]
Li K.-O. [1 ]
Kim C.-U. [2 ]
机构：
[1] Department of Mathematics, University of Science, Pyongyang
[2] Department of Mathematics, Wonsan University of Agriculture, Wonsan
来源：
ANNALI DELL'UNIVERSITA' DI FERRARA | 2021年 / 67卷 / 1期
关键词：
Boussinesq system with damping; Regularity; Uniqueness;
D O I：
10.1007/s11565-020-00351-5
中图分类号：
学科分类号：
摘要：
This paper is concerned with the Boussinesq system with a damping term and the homogeneous Dirichlet boundary conditions in 3D bounded domains. For a certain range of parameters, we prove that the weak solution is unique if the temperature belongs to L∞(0 , T; L3(Ω)). Also, the global existence of strong solutions to the problem is proved. © 2020, Università degli Studi di Ferrara.
引用
收藏
页码：149 / 173
页数：24
相关论文
共 50 条
  • [11] On partial regularity problem for 3D Boussinesq equations
    Fang, Daoyuan
    Liu, Chun
    Qian, Chenyin
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 263 (07) : 4156 - 4221
  • [12] INITIAL BOUNDARY VALUE PROBLEM FOR 3D BOUSSINESQ SYSTEM WITH THE THERMAL DAMPING
    Yu, Yanghai
    Tang, Yanbin
    OSAKA JOURNAL OF MATHEMATICS, 2020, 57 (01) : 61 - 83
  • [13] On the existence, regularity and uniqueness of Lp-solutionsto the steady-state 3D Boussinesq system in the whole spaceand with gravity acceleration
    Jarrin, Oscar
    PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2024, 5 (03):
  • [14] Regularity and uniqueness for the 3D compressible magnetohydrodynamic equations
    Mingyu Zhang
    Boundary Value Problems, 2022
  • [15] Regularity and uniqueness for the 3D compressible magnetohydrodynamic equations
    Zhang, Mingyu
    BOUNDARY VALUE PROBLEMS, 2022, 2022 (01)
  • [16] Remarks on pressure regularity criterion for the 3D Boussinesq equations
    Liu, Longshen
    Bai, Meng
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 76 (07) : 1661 - 1668
  • [17] Regularity Results for Viscous 3D Boussinesq Temperature Fronts
    Gancedo, Francisco
    Garcia-Juarez, Eduardo
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2020, 376 (03) : 1705 - 1736
  • [18] A Regularity Criterion of Weak Solutions to the 3D Boussinesq Equations
    Gala, Sadek
    Ragusa, Maria Alessandra
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2020, 51 (02): : 513 - 525
  • [19] A regularity criterion of weak solutions to the 3D Boussinesq equations
    Alghamdi, Ahmad Mohammed
    Gala, Sadek
    Ragusa, Maria Alessandra
    AIMS MATHEMATICS, 2017, 2 (03): : 451 - U208
  • [20] On the regularity criterion of strong solutions to the 3D Boussinesq equations
    Gala, Sadek
    APPLICABLE ANALYSIS, 2011, 90 (12) : 1829 - 1835
12345