Propagation in a Fractional Reaction-Diffusion Equation in a Periodically Hostile Environment

被引：2

作者：

Leculier, Alexis ^{[1
]}

Mirrahimi, Sepideh ^{[2
]}

Roquejoffre, Jean-Michel ^{[1
]}

机构：

[1] Univ Toulouse 3, Inst Math Toulouse, UMR 5219, 118 Route Narbonne, F-31062 Toulouse 4, France

[2] Univ Toulouse, Inst Math Toulouse, UMR 5219, CNRS,UPS IMT, F-31062 Toulouse 9, France

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2021年 / 33卷 / 02期

基金：

欧洲研究理事会;

关键词：

Non-local fractional operator; Fisher KPP; Asymptotic analysis; Exponential speed of propagation; Perturbed test function; LAPLACIAN; REGULARITY; LIMIT; MODEL;

D O I：

10.1007/s10884-020-09837-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide an asymptotic analysis of a fractional Fisher-KPP type equation in periodic non-connected media with Dirichlet conditions outside the domain. After showing the existence and uniqueness of a non-trivial bounded stationary state n(+), we prove that it invades the unstable state zero exponentially fast in time.

引用

页码：863 / 890

页数：28

共 50 条

[31] Barycentric rational collocation method for fractional reaction-diffusion equation
Li, Jin
AIMS MATHEMATICS, 2023, 8 (04): : 9009 - 9026
[32] Hopping transport in hostile reaction-diffusion systems
Missel, Andrew R.
Dahmen, Karin A.
PHYSICAL REVIEW E, 2009, 79 (02)
[33] Asymptotic speed of wave propagation for a discrete reaction-diffusion equation
Liu X.-X.
Weng P.-X.
Acta Mathematicae Applicatae Sinica, 2006, 22 (3) : 369 - 386
[34] Fractional reaction-diffusion equations
Saxena, R. K.
Mathai, A. M.
Haubold, H. J.
ASTROPHYSICS AND SPACE SCIENCE, 2006, 305 (03) : 289 - 296
[35] Fractional Reaction-Diffusion Equations
R. K. Saxena
A. M. Mathai
H. J. Haubold
Astrophysics and Space Science, 2006, 305 : 289 - 296
[36] A Numerical Method for Time-Fractional Reaction-Diffusion and Integro Reaction-Diffusion Equation Based on Quasi-Wavelet
Kumar, Sachin
Cao, Jinde
Li, Xiaodi
COMPLEXITY, 2020, 2020
[37] Continuity of the Unbounded Attractors for a Fractional Perturbation of a Scalar Reaction-Diffusion Equation
Belluzi, Maykel
Bortolan, Matheus C.
Castro, Ubirajara
Fernandes, Juliana
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2024,
[38] Numerical solution of the time fractional reaction-diffusion equation with a moving boundary
Zheng, Minling
Liu, Fawang
Liu, Qingxia
Burrage, Kevin
Simpson, Matthew J.
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 338 : 493 - 510
[39] A class of efficient difference method for time fractional reaction-diffusion equation
Zhang, Junxia
Yang, Xiaozhong
COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (04): : 4376 - 4396
[40] On an accurate discretization of a variable-order fractional reaction-diffusion equation
Hajipour, Mojtaba
Jajarmi, Amin
Baleanu, Dumitru
Sun, HongGuang
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2019, 69 : 119 - 133

← 1 2 3 4 5 →