Blow-up time estimates in nonlocal reaction-diffusion systems under various boundary conditions

被引：17

作者：

Marras, Monica ^{[1
]}

Piro, Stella Vernier ^{[1
]}

机构：

[1] Univ Cagliari, Dipartimento Matemat & Informat, Vle Merello 92, I-09123 Cagliari, Italy

来源：

BOUNDARY VALUE PROBLEMS | 2017年

关键词：

blow-up; global existence; nonlinear parabolic systems; PARABOLIC EQUATIONS; GLOBAL EXISTENCE; BEHAVIOR;

D O I：

10.1186/s13661-016-0732-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the question of blow-up of solutions to nonlocal reaction-diffusion systems under various boundary conditions. Specifically, conditions on data are introduced to avoid the blow-up of the solution and, when the blow-up occurs, explicit lower and upper bounds of blow-up time are derived.

引用

页数：16

共 50 条

[21] Asymptotic properties of blow-up solutions in reaction-diffusion equations with nonlocal boundary flux
Liu, Bingchen
Dong, Mengzhen
Li, Fengjie
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2018, 69 (02):
[22] Blow-up phenomena for a class of nonlinear reaction-diffusion equations under nonlinear boundary conditions
Zhang, Ling-Ling
Tian, Hui-Min
APPLICABLE ANALYSIS, 2019, 98 (16) : 2868 - 2883
[23] NEW BLOW-UP CRITERIA FOR A NONLOCAL REACTION-DIFFUSION SYSTEM
Kim, Eun-Seok
HONAM MATHEMATICAL JOURNAL, 2021, 43 (04): : 667 - 678
[24] Blow-up problem of quasilinear weakly coupled reaction-diffusion systems with Neumann boundary conditions
Ding, Juntang
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 502 (02)
[25] Blow-up analyses in nonlocal reaction diffusion equations with time-dependent coefficients under Neumann boundary conditions
Tian, Huimin
Zhang, Lingling
OPEN MATHEMATICS, 2020, 18 : 1552 - 1564
[26] GLOBAL EXISTENCE AND BLOW-UP FOR A DEGENERATE REACTION-DIFFUSION SYSTEM WITH NONLINEAR LOCALIZED SOURCES AND NONLOCAL BOUNDARY CONDITIONS
Liang, Fei
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 53 (01) : 27 - 43
[27] Bounds for Blow-Up Time in Nonlinear Parabolic Systems Under Various Boundary Conditions
Marras, M.
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2011, 32 (04) : 453 - 468
[28] BLOW-UP ESTIMATES OF POSITIVE SOLUTIONS OF A REACTION-DIFFUSION SYSTEM
Chen, Hongwei
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2003, : 182 - 188
[29] Blow-up analysis for a reaction-diffusion equation with weighted nonlocal inner absorptions under nonlinear boundary flux
Ma, Lingwei
Fang, Zhong Bo
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2016, 32 : 338 - 354
[30] Universal bounds and blow-up estimates for a reaction-diffusion system
Nejib Mahmoudi
Boundary Value Problems, 2015

← 1 2 3 4 5 →