大尺度海洋大气动力学三维黏性原始方程对边界参数的连续依赖性

被引：35

作者：

李远飞

机构：

[1] 广东财经大学华商学院应用数学系

来源：

吉林大学学报(理学版) | 2019年 / 57卷 / 05期

关键词：

先验界; 连续依赖性; 黏性原始方程;

D O I：

10.13413/j.cnki.jdxblxb.2019038

中图分类号：

P732.7 [海洋动力气象学];

学科分类号：

摘要：

利用方程解的先验界及微分不等式技巧,证明大尺度海洋大气动力学三维黏性原始方程的解连续依赖于边界参数.

引用

页码：1053 / 1059

页数：7

共 13 条

[1]

Continuous dependence for the Brinkman–Forchheimer fluid interfacing with a Darcy fluid in a bounded domain[J] . Yan Liu,Shengzhong Xiao,Yiwu Lin.Mathematics and Computers in Simulation . 2018

[2]

Continuous dependence for a thermal convection model with temperature-dependent solubility[J] . Yan Liu.Applied Mathematics and Computation . 2017

[3]

Continuous dependence for the nonhomogeneous Brinkman–Forchheimer equations in a semi-infinite pipe[J] . Yuanfei Li,Changhao Lin.Applied Mathematics and Computation . 2014

[4] CONTINUOUS DEPENDENCE ON THE REACTION TERMS IN POROUS CONVECTION WITH SURFACE REACTIONS [J].

Scott, Nicola L. ;

Straughan, B. .

QUARTERLY OF APPLIED MATHEMATICS, 2013, 71 (03) :501-508

[5] Continuous dependence on boundary reaction terms in a porous medium of Darcy type [J].

Scott, Nicola L. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 399 (02) :667-675

[6]

Convergence and continuous dependence results for the Brinkman equations[J] . Yan Liu,Yi Du,Changhao Lin.Applied Mathematics and Computation . 2009 (12)

[7]

Convergence and continuous dependence for the Brinkman–Forchheimer equations[J] . Yan Liu.Mathematical and Computer Modelling . 2009 (7)

[8] Convergence Results for Forchheimer's Equations for Fluid Flow in Porous Media [J].

Liu, Yan ;

Du, Yi ;

Lin, Changhao .

JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2010, 12 (04) :576-593

[9] Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics [J].

Cao, Chongsheng ;

Titi, Edriss S. .

ANNALS OF MATHEMATICS, 2007, 166 (01) :245-267

[10]

Continuous dependence on the Soret coefficient for double diffusive convection in Darcy flow[J] . Changhao Lin,L.E. Payne.Journal of Mathematical Analysis and Applications . 2007 (1)

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