Dead cores for time dependent reaction-diffusion equations

被引:2
|
作者
Vernier-Piro, S [1 ]
van der Mee, C [1 ]
机构
[1] Univ Cagliari, Dipartimento Matemat, I-09123 Cagliari, Italy
关键词
reaction-diffusion equation; system of parabolic equations; dead core;
D O I
10.1016/S0362-546X(01)00337-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We investigate a two-species reaction-diffusion problem described by a system of two semilinear parabolic equations with suitable initial-boundary conditions. We find restrictions on data to realize regions of zero concentration (so-called dead cores) for either species.
引用
收藏
页码:2113 / 2123
页数:11
相关论文
共 50 条
  • [21] Fractional reaction-diffusion equations
    Saxena, R. K.
    Mathai, A. M.
    Haubold, H. J.
    ASTROPHYSICS AND SPACE SCIENCE, 2006, 305 (03) : 289 - 296
  • [22] Fractional Reaction-Diffusion Equations
    R. K. Saxena
    A. M. Mathai
    H. J. Haubold
    Astrophysics and Space Science, 2006, 305 : 289 - 296
  • [23] ON THE SOLUTION OF REACTION-DIFFUSION EQUATIONS
    HILL, JM
    IMA JOURNAL OF APPLIED MATHEMATICS, 1981, 27 (02) : 177 - 194
  • [24] Convergence of a class of nonlinear time delays reaction-diffusion equations
    Hafsa, Omar Anza
    Mandallena, Jean Philippe
    Michaille, Gerard
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2020, 27 (02):
  • [25] Studies of the accuracy of time integration methods for reaction-diffusion equations
    Ropp, DL
    Shadid, JN
    Ober, CC
    JOURNAL OF COMPUTATIONAL PHYSICS, 2004, 194 (02) : 544 - 574
  • [26] GLOBAL BEHAVIOR OF SOLUTIONS TO THE NONLOCAL IN TIME REACTION-DIFFUSION EQUATIONS
    Torebek, Berikbol t.
    EVOLUTION EQUATIONS AND CONTROL THEORY, 2025,
  • [27] Large time behavior of reaction-diffusion equations with Bessel generators
    Alfredo Lopez-Mimbela, Jose
    Privault, Nicolas
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 383 (02) : 560 - 572
  • [28] Convergence of a class of nonlinear time delays reaction-diffusion equations
    Omar Anza Hafsa
    Jean Philippe Mandallena
    Gérard Michaille
    Nonlinear Differential Equations and Applications NoDEA, 2020, 27
  • [29] Large time monotonicity of solutions of reaction-diffusion equations in RN
    Grenier, Emmanuel
    Hamel, Francois
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2018, 112 : 89 - 117
  • [30] Reaction-diffusion equations in space-time periodic media
    Nadin, Gregoire
    COMPTES RENDUS MATHEMATIQUE, 2007, 345 (09) : 489 - 493