Nonlinear stability of one-layer geostrophic fronts

被引：1
作者：
Duan, JQ [1 ]
Wiggins, S [1 ]
机构：
[1] CALTECH, PASADENA, CA 91125 USA
来源：
PHYSICA D-NONLINEAR PHENOMENA | 1996年 / 98卷 / 2-4期
关键词：
stability; frontal dynamics; Hamiltonian dynamics; geostrophic fronts; beta-effect;
D O I：
10.1016/0167-2789(96)00115-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the nonlinear stability of one-layer geostrophic fronts described by frontal geostrophic equations, We show that the beta-effect plays a crucial role in the stability of one-layer geostrophic fronts. Especially, we prove that the class of nonlinearly stable fronts is more restricted when the beta-effect is present than when it is absent.
引用
收藏
页码：335 / 342
页数：8
相关论文
共 50 条
  • [21] Models of interacting pairs of thin, quasi-geostrophic vortices: steady-state solutions and nonlinear stability
    Bersanelli, Matteo
    Dritschel, David G.
    Lancellotti, Carlo
    Poje, Andrew C.
    GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS, 2016, 110 (06) : 491 - 517
  • [22] Scaling variables and stability of hyperbolic fronts
    Gallay, T
    Raugel, G
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2000, 32 (01) : 1 - 29
  • [23] Stability of Fronts in Inhomogeneous Wave Equations
    Derks, Gianne
    ACTA APPLICANDAE MATHEMATICAE, 2015, 137 (01) : 61 - 78
  • [24] Global nonlinear stability for a triply diffusive convection in a porous layer
    Salvatore Rionero
    Continuum Mechanics and Thermodynamics, 2012, 24 : 629 - 641
  • [25] THE STABILITY OF EVAPORATING FRONTS IN POROUS MEDIA
    Plumb, O. A.
    Klimenko, A. Y.
    JOURNAL OF POROUS MEDIA, 2010, 13 (02) : 145 - 155
  • [26] Global nonlinear stability for a triply diffusive convection in a porous layer
    Rionero, Salvatore
    CONTINUUM MECHANICS AND THERMODYNAMICS, 2012, 24 (4-6) : 629 - 641
  • [27] Stability of bistable transition fronts in RN
    Sheng, Wei-Jie
    Wang, Mingxin
    APPLIED MATHEMATICS LETTERS, 2020, 101
  • [28] Stability of Fronts in Inhomogeneous Wave Equations
    Gianne Derks
    Acta Applicandae Mathematicae, 2015, 137 : 61 - 78
  • [29] Stability, relaxation, and oscillation of biodegradation fronts
    Xin, JX
    Hyman, JM
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2000, 61 (02) : 472 - 505
  • [30] NONLINEAR STABILITY OF A SINGLE-LAYER HYBRID GRID SHELL
    Cai, Jianguo
    Xu, Yixiang
    Feng, Jian
    Zhang, Jin
    JOURNAL OF CIVIL ENGINEERING AND MANAGEMENT, 2012, 18 (05) : 752 - 760
12345