Local and Global Well-Posedness of Strong Solutions to the 3D Primitive Equations with Vertical Eddy Diffusivity

被引:1
|
作者
Chongsheng Cao
Jinkai Li
Edriss S. Titi
机构
[1] Florida International University,Department of Mathematics
[2] University Park,Department of Computer Science and Applied Mathematics
[3] Weizmann Institute of Science,Department of Mathematics
[4] University of California,Department of Mechanical and Aerospace Engineering
[5] University of California,undefined
来源
Archive for Rational Mechanics and Analysis | 2014年 / 214卷
关键词
Global Existence; Strong Solution; Local Existence; Primitive Equation; Vertical Diffusion;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we consider the initial-boundary value problem of the viscous 3D primitive equations for oceanic and atmospheric dynamics with only vertical diffusion in the temperature equation. Local and global well-posedness of strong solutions are established for this system with H2 initial data.
引用
收藏
页码:35 / 76
页数:41
相关论文
共 50 条
  • [31] LOCAL WELL-POSEDNESS OF SOLUTIONS TO THE BOUNDARY LAYER EQUATIONS FOR COMPRESSIBLE TWO-FLUID FLOW
    Fan, Long
    Liu, Cheng-Jie
    Ruan, Lizhi
    ELECTRONIC RESEARCH ARCHIVE, 2021, 29 (06): : 4009 - 4050
  • [32] Well-posedness for 3D nematic liquid crystal flows with damping
    Liu, Hui
    Sun, Chengfeng
    Xin, Jie
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [33] Global Well-Posedness and Decay Rates of Strong Solutions to a Non-Conservative Compressible Two-Fluid Model
    Steinar Evje
    Wenjun Wang
    Huanyao Wen
    Archive for Rational Mechanics and Analysis, 2016, 221 : 1285 - 1316
  • [34] Well-posedness for 3D nematic liquid crystal flows with damping
    Hui Liu
    Chengfeng Sun
    Jie Xin
    Journal of Inequalities and Applications, 2020
  • [35] Global well-posedness of the Cauchy problem for the 3D Jordan-Moore-Gibson-Thompson equation
    Racke, Reinhard
    Said-Houari, Belkacem
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2021, 23 (07)
  • [36] Local well-posedness of solutions to 2D mixed Prandtl equations in Sobolev space without monotonicity and lower bound
    Qin, Yuming
    Dong, Xiaolei
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2024, 80
  • [37] Local Well-Posedness and Blow-Up for the Solutions to the Axisymmetric Inviscid Hall-MHD Equations
    Jeong, Eunji
    Kim, Junha
    Lee, Jihoon
    ADVANCES IN MATHEMATICAL PHYSICS, 2018, 2018
  • [38] On the Global Well-Posedness of 3-D Density-Dependent MHD System
    Saoussen Sokrani
    Acta Applicandae Mathematicae, 2020, 167 : 1 - 38
  • [39] On the Global Well-Posedness of 3-D Density-Dependent MHD System
    Sokrani, Saoussen
    ACTA APPLICANDAE MATHEMATICAE, 2020, 167 (01) : 1 - 38
  • [40] Global Well-Posedness for a Smoluchowski Equation Coupled with Navier-Stokes Equations in 2D
    P. Constantin
    Nader Masmoudi
    Communications in Mathematical Physics, 2008, 278 : 179 - 191