EXPONENTIAL STABILITY OF THE TRAVELING FRONTS FOR A VISCOUS FISHER-KPP EQUATION

被引：1
|
作者：
Wang, Lina [1 ]
Bai, Xueli [1 ]
Cao, Yang [2 ]
机构：
[1] E China Normal Univ, Ctr PDE, Shanghai 200241, Peoples R China
[2] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2014年 / 19卷 / 03期
关键词：
Traveling fronts; singular perturbation method; spectral analysis; Evans function; exponential stability; SINGULAR PERTURBATION-THEORY; DIFFUSION EQUATION; ENTROPY SOLUTIONS; WAVES;
D O I：
10.3934/dcdsb.2014.19.801
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the stability of traveling front solutions for a viscous Fisher-KPP equation. By applying geometric singular perturbation method, special Evans function estimates, detailed spectral analysis and C-0 semigroup theories, each traveling front solution with wave speed c < -2 root f'(0) is proved to be locally exponentially stable in some appropriate exponentially weighted spaces.
引用
收藏
页码：801 / 815
页数：15
相关论文
共 50 条
  • [1] Stability of Travelling Fronts of the Fisher-KPP Equation in RN
    Huang, Rui
    [J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2008, 15 (4-5): : 599 - 622
  • [2] TRANSITION FRONTS FOR THE FISHER-KPP EQUATION
    Hamel, Francois
    Rossi, Luca
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 368 (12) : 8675 - 8713
  • [3] Stability of traveling waves of the nonlocal Fisher-KPP equation
    Tian, Ge
    Wang, Zhi-Cheng
    Zhang, Guo-Bao
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2021, 211
  • [4] Modulated traveling fronts for a nonlocal Fisher-KPP equation: A dynamical systems approach
    Faye, Gregory
    Holzer, Matt
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 258 (07) : 2257 - 2289
  • [5] MULTIDIMENSIONAL STABILITY OF PYRAMIDAL TRAVELING FRONTS IN DEGENERATE FISHER-KPP MONOSTABLE AND COMBUSTION EQUATIONS
    Wu, Denghui
    Bu, Zhen-hui
    [J]. ELECTRONIC RESEARCH ARCHIVE, 2021, 29 (06): : 3721 - 3740
  • [6] Spectral Stability of Traveling Fronts for Reaction Diffusion-Degenerate Fisher-KPP Equations
    Leyva, J. Francisco
    Plaza, Ramon G.
    [J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2020, 32 (03) : 1311 - 1342
  • [7] Spectral Stability of Traveling Fronts for Reaction Diffusion-Degenerate Fisher-KPP Equations
    J. Francisco Leyva
    Ramón G. Plaza
    [J]. Journal of Dynamics and Differential Equations, 2020, 32 : 1311 - 1342
  • [8] Travelling Fronts and Entire Solutions¶of the Fisher-KPP Equation in ℝN
    François Hamel
    Nikolaï Nadirashvili
    [J]. Archive for Rational Mechanics and Analysis, 2001, 157 : 91 - 163
  • [9] Precise asymptotics for Fisher-KPP fronts
    Graham, Cole
    [J]. NONLINEARITY, 2019, 32 (06) : 1967 - 1998
  • [10] Travelling fronts and entire solutions of the Fisher-KPP equation in RN
    Hamel, F
    Nadirashvili, N
    [J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2001, 157 (02) : 91 - 163
12345