Free boundary problem of a reaction-diffusion equation with nonlinear convection term

被引：7

作者：

Wang, Ren-Hu ^{[1
,2
]}

Wang, Lei ^{[1
]}

Wang, Zhi-Cheng ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

[2] Hexi Univ, Sch Math & Stat, Zhangye 734000, Gansu, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 467卷 / 02期

关键词：

Free boundary; Nonlinear convection reaction diffusion equation; Asymptotic behavior; Spreading-vanishing dichotomy; PREY-PREDATOR MODEL; TIME-PERIODIC ENVIRONMENT; SIGN-CHANGING COEFFICIENT; LOGISTIC MODEL; SPREADING SPEED; HETEROGENEOUS ENVIRONMENT; COMPETITION SYSTEM; ADVECTION; DYNAMICS; BEHAVIOR;

D O I：

10.1016/j.jmaa.2018.07.065

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the free boundary problem of a reaction diffusion equation with nonlinear convection term in one dimensional space. Our study contains three parts: in the first part we establish the existence and uniqueness of global solution, in the second part we obtain the spreading- vanishing dichotomy, and in third part, we obtain some estimations of the asymptotic speed of free boundaries when spreading happens. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：1233 / 1257

页数：25

共 50 条

[31] Attractors of the non-autonomous reaction-diffusion equation with nonlinear boundary condition
Yang, Lu
Yang, Mei-Hua
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (05) : 3946 - 3954
[32] The initial boundary value problem for a nonlocal singularly perturbed reaction-diffusion equation
Nefedov, N. N.
Nikitin, A. G.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2012, 52 (06) : 926 - 931
[33] The initial boundary value problem for a nonlocal singularly perturbed reaction-diffusion equation
N. N. Nefedov
A. G. Nikitin
Computational Mathematics and Mathematical Physics, 2012, 52 : 926 - 931
[34] PROPAGATING TERRACE IN A PERIODIC REACTION-DIFFUSION EQUATION WITH CONVECTION
Shen, Liang-Bin
Han, Bang-Sheng
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (03): : 1395 - 1413
[35] Analysis of Boundary Value and Extremum Problems for a Nonlinear Reaction–Diffusion–Convection Equation
R. V. Brizitskii
V. S. Bystrova
Zh. Yu. Saritskaia
Differential Equations, 2021, 57 : 615 - 629
[36] PROPAGATION DYNAMICS OF THE MONOSTABLE REACTION-DIFFUSION EQUATION WITH A NEW FREE BOUNDARY CONDITION
Du, Yihong
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2024, 44 (09) : 2524 - 2563
[37] Analytical Solutions for a Nonlinear Reaction-diffusion Equation
Curilef, Sergio
11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013, PTS 1 AND 2 (ICNAAM 2013), 2013, 1558 : 1771 - 1774
[38] REACTION-DIFFUSION WAVES WITH NONLINEAR BOUNDARY CONDITIONS
Apreutesei, Narcisa
Volpert, Vitaly
NETWORKS AND HETEROGENEOUS MEDIA, 2013, 8 (01) : 23 - 35
[39] Properties of solutions for a reaction-diffusion equation with nonlinear absorption and nonlinear nonlocal Neumann boundary condition
Wang, Jian
Yang, Hui
BOUNDARY VALUE PROBLEMS, 2018,
[40] Quenching for a reaction-diffusion equation with nonlinear memory
Zhou, Shouming
Mu, Chunlai
Du, Qingling
Zeng, Rong
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (02) : 754 - 763

← 1 2 3 4 5 →