Blow-up for a reaction–diffusion equation with variable coefficient

Jong-Shenq Guo; Chang-Shou Lin; Masahiko Shimojo

doi:10.1016/j.aml.2012.07.017

Blow-up for a reaction–diffusion equation with variable coefficient

Applied Mathematics Letters ◽

10.1016/j.aml.2012.07.017 ◽

2013 ◽

Vol 26 (1) ◽

pp. 150-153 ◽

Cited By ~ 8

Author(s):

Jong-Shenq Guo ◽

Chang-Shou Lin ◽

Masahiko Shimojo

Keyword(s):

Diffusion Equation ◽

Variable Coefficient ◽

Blow Up ◽

Reaction Diffusion ◽

Reaction Diffusion Equation

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Blow-up and global existence to a degenerate reaction–diffusion equation with nonlinear memory

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.12.007 ◽

2007 ◽

Vol 333 (2) ◽

pp. 1138-1152 ◽

Cited By ~ 5

Author(s):

Jun Zhou ◽

Chunlai Mu ◽

Feng Lu

Keyword(s):

Global Existence ◽

Diffusion Equation ◽

Blow Up ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Nonlinear Memory

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Blow up profiles for a reaction–diffusion equation with critical weighted reaction

Nonlinear Analysis ◽

10.1016/j.na.2019.111628 ◽

2020 ◽

Vol 191 ◽

pp. 111628 ◽

Cited By ~ 3

Author(s):

Razvan Gabriel Iagar ◽

Ariel Sánchez

Keyword(s):

Diffusion Equation ◽

Blow Up ◽

Reaction Diffusion ◽

Reaction Diffusion Equation

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Nonconstant selfsimilar blow-up profile for the exponential reaction-diffusion equation

Tohoku Mathematical Journal ◽

10.2748/tmj/1223057730 ◽

2008 ◽

Vol 60 (3) ◽

pp. 303-328 ◽

Cited By ~ 6

Author(s):

Marek Fila ◽

Aappo Pulkkinen

Keyword(s):

Diffusion Equation ◽

Blow Up ◽

Reaction Diffusion ◽

Reaction Diffusion Equation

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Global and blow-up solutions for a nonlinear reaction diffusion equation with Robin boundary conditions

Boundary Value Problems ◽

10.1186/s13661-020-01363-y ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Huimin Tian ◽

Lingling Zhang

Keyword(s):

Diffusion Equation ◽

Boundary Conditions ◽

Blow Up ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Robin Boundary Conditions ◽

Nonlinear Reaction ◽

Nonlinear Reaction Diffusion Equation ◽

Robin Boundary

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Blow-up estimates for a higher-order reaction–diffusion equation with a special diffusion process

Journal of Elliptic and Parabolic Equations ◽

10.1007/s41808-021-00125-w ◽

2021 ◽

Author(s):

Bui Le Trong Thanh ◽

Nguyen Ngoc Trong ◽

Tan Duc Do

Keyword(s):

Diffusion Equation ◽

Diffusion Process ◽

Blow Up ◽

Reaction Diffusion ◽

Higher Order ◽

Order Reaction ◽

Reaction Diffusion Equation

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Critical blow-up exponents for a nonlocal reaction-diffusion equation with nonlocal source and interior absorption

Nonlinear Analysis Modelling and Control ◽

10.15388/na.2016.5.3 ◽

2016 ◽

Vol 21 (5) ◽

pp. 600-613

Author(s):

Jiashan Zheng ◽

Keyword(s):

Diffusion Equation ◽

Blow Up ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Nonlocal Source ◽

Nonlocal Reaction

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Blow-Up Phenomenon for a Reaction–Diffusion Equation with Weighted Nonlocal Gradient Absorption Terms

Mediterranean Journal of Mathematics ◽

10.1007/s00009-021-01795-5 ◽

2021 ◽

Vol 18 (4) ◽

Author(s):

Mengyang Liang ◽

Zhong Bo Fang

Keyword(s):

Diffusion Equation ◽

Blow Up ◽

Reaction Diffusion ◽

Reaction Diffusion Equation

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Uniform blow-up profile and boundary behaviour for a non-local reaction–diffusion equation with critical damping

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.567 ◽

2004 ◽

Vol 27 (15) ◽

pp. 1819-1829 ◽

Cited By ~ 29

Author(s):

Philippe Souplet

Keyword(s):

Diffusion Equation ◽

Blow Up ◽

Local Reaction ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Boundary Behaviour ◽

Non Local ◽

Critical Damping

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Five types of blow-up in a semilinear fourth-order reaction–diffusion equation: an analytic–numerical approach

Nonlinearity ◽

10.1088/0951-7715/22/7/012 ◽

2009 ◽

Vol 22 (7) ◽

pp. 1695-1741 ◽

Cited By ~ 13

Author(s):

V A Galaktionov

Keyword(s):

Diffusion Equation ◽

Fourth Order ◽

Blow Up ◽

Reaction Diffusion ◽

Numerical Approach ◽

Order Reaction ◽

Reaction Diffusion Equation

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Blow-up numerical solutions for a convective reaction–diffusion equation

Journal of Numerical Mathematics ◽

10.1515/jnma-2015-0009 ◽

2015 ◽

Vol 23 (2) ◽

Author(s):

Chia-Feng Chang ◽

Yi-Chien Wu ◽

Chien-Hong Cho

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Numerical Solutions ◽

Blow Up ◽

Reaction Diffusion ◽

Reaction Diffusion Equation

AbstractWe consider finite difference solutions of the 1-dimconvective reaction-diffusion equation u

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