Blowup of the Solutions for a Reaction-Advection-Diffusion Equation with Free Boundaries

被引：0
|
作者：
Yang, Jian [1 ]
机构：
[1] Jinan Univ, Sch Math Sci, Jinan 250022, Peoples R China
来源：
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2023年 / 36卷 / 04期
关键词：
Nonlinear reaction-advection-diffusion equation; one-phase Stefan problem; decay; blowup; MODEL;
D O I：
10.4208/jpde.v36.n4.5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate a blowup problem of a reaction-advection-diffusion equation with double free boundaries and aim to use the dynamics of such a problem to describe the heat transfer and temperature change of a chemical reaction in advective environment with the free boundary representing the spreading front of the heat. We study the influence of the advection on the blowup properties of the solutions and conclude that large advection is not favorable for blowup. Moreover, we give the decay estimates of solutions and the two free boundaries converge to a finite limit for small initial data.
引用
收藏
页码：394 / 403
页数：10
相关论文
共 50 条
  • [31] Experimental studies of pattern formation in a reaction-advection-diffusion system
    Nugent, CR
    Quarles, WM
    Solomon, TH
    PHYSICAL REVIEW LETTERS, 2004, 93 (21)
  • [32] The Motion of the Front in the Reaction-Advection-Diffusion Problem with Periodic Coefficients
    Nikulin, E. I.
    MOSCOW UNIVERSITY PHYSICS BULLETIN, 2022, 77 (05) : 747 - 754
  • [33] Wave solutions and numerical validation for the coupled reaction-advection-diffusion dynamical model in a porous medium
    Ali M Mubaraki
    Hwajoon Kim
    R I Nuruddeen
    Urooj Akram
    Yasir Akbar
    CommunicationsinTheoreticalPhysics, 2022, 74 (12) : 13 - 24
  • [34] Asymptotic behavior of pulsating fronts and entire solutions of reaction-advection-diffusion equations in periodic media
    Bu, Zhen-Hui
    Wang, Zhi-Cheng
    Liu, Nai-Wei
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2016, 28 : 48 - 71
  • [35] Study of fractional-order reaction-advection-diffusion equation using neural network method
    Biswas, Chetna
    Singh, Anup
    Chopra, Manish
    Das, Subir
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2023, 208 : 15 - 27
  • [36] Bistable traveling waves in impulsive reaction-advection-diffusion models
    Wang, Zhenkun
    Wang, Hao
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 285 : 17 - 39
  • [37] Reaction-advection-diffusion equations, such as [8, 16, 17, 22].
    Steeves D.
    Gharesifard B.
    Mansouri A.-R.
    SIAM Journal on Control and Optimization, 2019, 57 (05) : 3272 - 3296
  • [38] The optimal initial datum for a class of reaction-advection-diffusion equations
    Halim, Omar Abdul
    El Smaily, Mohammad
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2022, 221
  • [39] Wave solutions and numerical validation for the coupled reaction-advection-diffusion dynamical model in a porous medium
    Mubaraki, Ali M.
    Kim, Hwajoon
    Nuruddeen, R., I
    Akram, Urooj
    Akbar, Yasir
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2022, 74 (12)
  • [40] STUDY AND ANALYSIS OF SPATIAL-TIME NONLINEAR FRACTIONAL-ORDER REACTION-ADVECTION-DIFFUSION EQUATION
    Singh, Anup
    Das, S.
    JOURNAL OF POROUS MEDIA, 2019, 22 (07) : 787 - 798
12345