CONTINUOUS DEPENDENCE IN FRONT PROPAGATION OF CONVECTIVE REACTION-DIFFUSION EQUATIONS

被引：15
|
作者：
Malaguti, Luisa [1 ]
Marcelli, Cristina [2 ]
Matucci, Serena [3 ]
机构：
[1] Univ Modena & Reggio Emilia, Dept Engn Sci & Methods, I-42122 Reggio Emilia, Italy
[2] Polytech Univ Marche, Dept Math Sci, I-60131 Ancona, Italy
[3] Univ Florence, Dept Elect & Telecommun, I-50139 Florence, Italy
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2010年 / 9卷 / 04期
关键词：
Reaction-diffusion-convection equations; travelling wave solutions; threshold wave speed; continuous dependence; FISHER-KPP EQUATIONS; TRAVELING-WAVES; DEGENERATE; SPEED; TERMS;
D O I：
10.3934/cpaa.2010.9.1083
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Continuous dependence of the threshold wave speed and of the travelling wave profiles for reaction-diffusion-convection equations u(t) + h(u) u(x) = (d(u)u(x) )(x) + f(u) is here studied with respect to the diffusion, reaction and convection terms.
引用
收藏
页码：1083 / 1098
页数：16
相关论文
共 50 条
  • [31] Blocking and invasion for reaction-diffusion equations in periodic media
    Ducasse, Romain
    Rossi, Luca
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2018, 57 (05)
  • [32] TRAVELING FRONTS IN PERTURBED MULTISTABLE REACTION-DIFFUSION EQUATIONS
    Taniguchi, Masaharu
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 31 : 1368 - 1377
  • [33] Traveling wave patterns in nonlinear reaction-diffusion equations
    Mansour, M. B. A.
    JOURNAL OF MATHEMATICAL CHEMISTRY, 2010, 48 (03) : 558 - 565
  • [34] The formation of spreading front: the singular limit of three-component reaction-diffusion models
    Izuhara, Hirofumi
    Monobe, Harunori
    Wu, Chang-Hong
    JOURNAL OF MATHEMATICAL BIOLOGY, 2021, 82 (05)
  • [35] EXISTENCE OF STATIONARY PULSES FOR NONLOCAL REACTION-DIFFUSION EQUATIONS
    Volpert, Vitaly
    Vougalter, Vviali
    DOCUMENTA MATHEMATICA, 2014, 19 : 1141 - 1153
  • [36] Uniqueness of wave speeds in bistable reaction-diffusion equations
    Huang, Yanli
    Lin, Guo
    Pan, Shuxia
    APPLIED MATHEMATICS LETTERS, 2022, 125
  • [37] Doubly nonlocal reaction-diffusion equations and the emergence of species
    Banerjee, M.
    Vougalter, V.
    Volpert, V.
    APPLIED MATHEMATICAL MODELLING, 2017, 42 : 591 - 599
  • [38] Propagation threshold of a cooperative-competitive reaction-diffusion system
    Guo, Ruijie
    Lin, Guo
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (15) : 11825 - 11845
  • [39] Propagation Dynamics in a Reaction-Diffusion System on Zika Virus Transmission
    Pan, Shuxia
    Ma, Chongyan
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2025, 24 (01)
  • [40] Propagation and blocking in a two-patch reaction-diffusion model
    Hamel, Francois
    Lutscher, Frithjof
    Zhang, Mingmin
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2022, 168 : 213 - 267
12345