期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

Nonlinear Instability of Phillips Model

Nonlinear Instability of Phillips Model
原文传递
导出
摘要 We investigate the instability of two-layer Phillips model in this paper, which is a prototypical geophysical fluid model. Using the results of Guo and Strauss et al, we obtained linear instability implies nonlinear instability provided the linearized system has an exponentially growing solution. We investigate the instability of two-layer Phillips model in this paper, which is a prototypical geophysical fluid model. Using the results of Guo and Strauss et al, we obtained linear instability implies nonlinear instability provided the linearized system has an exponentially growing solution.
作者 Rong-fang WANG Hong-jun GAO
机构地区 Jiangsu Provincial Key Laboratory for Numerical Simulation of Large Scale Complex Systems School of Mathematical Sciences Institution of Mathematics
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2016年第3期669-684,共16页 应用数学学报（英文版）
基金 Supported by the National Natural Science Foundation of China(No.10871097) National Basic Research Program of China(973 Program)(No.2013CB834100)
关键词 nonlinear instability Lyapunov exponent Phillips model nonlinear instability Lyapunov exponent Phillips model
分类号 O175 [理学—基础数学]
  • 相关文献

参考文献3

二级参考文献21

  • 1Arnold,V.I.& Khesin,B.A.,Topological methods in hydrodynamics [M],Applied Mathematical Sciences,125,Springer,1997.
  • 2Bardos,C.,Golse,F.& Levermore,D.,Fluid dynamics limits of kinetic equations II: convergence proofs for the Boltzmann equation [J],Comm.on Pure and Appl.Math.,46(1993),667-753.
  • 3Caglioti,E.,Lions,P.L.,Marchioro,C.& Pulvirenti,M.,A special class of stationary flows for two dimensional Euler equation,a statistical mechanics description,Part I [J],Comm.Math.Phys.,143(1992),501-525.
  • 4Caglioti,E.,Lions,P.L.,Marchioro,C.& Pulvirenti,M.,A special class of stationary flows for two dimensional Euler equation,a statistical mechanics description,Part II [J],Comm.Math.Phys.,174(1995),229-260.
  • 5Friedlander,S.& Vishik,M.,Dynamo theory methods for hydrodynamic stability [J],J.Math.Pures Appl.,72(1993),145-180.
  • 6Friedlander,S.,Strauss,M.& Vishik,M.,Nonlinear instability in an ideal fluid [J],Ann.I.H.P.(Anal Nonlin.),14:2(1997),187-209.
  • 7Friedlander,S.,Strauss,W.& Vishik,M.,Robustness of instability for the two-dimensional Euler equation [J],SIAM J.Math.Anal.,30(1999),1343-1354.
  • 8Grenier,E.,On the nonlinear instability of Euler and Prandtl equations [J],Comm.Pure Appl.Math.,53(2000),1067-1091.
  • 9Guo,Y.& Rein,G.,Isotropic steady states in galactic dynamics [J],Comm.Math.Phys.,219(2001),607-629.
  • 10Guo,Y.& Strauss,W.,Instability of periodic BGK equilibria [J],Comm.Pure Appl.Math.,48(1995),861-894.

共引文献9

Acta Mathematicae Applicatae Sinica
2016年 第3期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部