Global and blow‐up analysis for a class of nonlinear reaction diffusion model with Dirichlet boundary conditions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5241 ◽

2018 ◽

Vol 41 (17) ◽

pp. 7789-7803 ◽

Author(s):

Lingling Zhang ◽

Hui Wang ◽

Xiaoqiang Wang

Keyword(s):

Boundary Conditions ◽

Diffusion Model ◽

Dirichlet Boundary ◽

Blow Up ◽

Reaction Diffusion ◽

Dirichlet Boundary Conditions ◽

Blow Up Analysis ◽

Nonlinear Reaction ◽

Reaction Diffusion Model

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Blow-up and global solutions for a class of nonlinear reaction diffusion equations under Dirichlet boundary conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2015.08.046 ◽

2016 ◽

Vol 433 (2) ◽

pp. 1718-1735 ◽

Author(s):

Juntang Ding ◽

Hongjuan Hu

Keyword(s):

Boundary Conditions ◽

Dirichlet Boundary ◽

Blow Up ◽

Global Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Dirichlet Boundary Conditions ◽

Diffusion Equations ◽

Nonlinear Reaction

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Delayed nonlocal reaction–diffusion model for hematopoietic stem cell dynamics with Dirichlet boundary conditions

Mathematical Modelling of Natural Phenomena ◽

10.1051/mmnp/2017078 ◽

2017 ◽

Vol 12 (6) ◽

pp. 1-22 ◽

Author(s):

M. Adimy ◽

A. Chekroun ◽

T. Kuniya

Keyword(s):

Stem Cell ◽

Boundary Conditions ◽

Diffusion Model ◽

Dirichlet Boundary ◽

Reaction Diffusion ◽

Dirichlet Boundary Conditions ◽

Cell Dynamics ◽

Hematopoietic Stem ◽

Reaction Diffusion Model ◽

Nonlocal Reaction

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Reaction-Diffusion Model for Combustion with Fuel Consumption: I. Dirichlet Boundary Conditions

IMA Journal of Applied Mathematics ◽

10.1093/imamat/47.1.33 ◽

1991 ◽

Vol 47 (1) ◽

pp. 33-60 ◽

Author(s):

G. ZHANG ◽

J. H. MERKIN ◽

S. K. SCOTT

Keyword(s):

Boundary Conditions ◽

Fuel Consumption ◽

Diffusion Model ◽

Dirichlet Boundary ◽

Reaction Diffusion ◽

Dirichlet Boundary Conditions ◽

Reaction Diffusion Model

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Blow-up analysis for a class of nonlinear reaction diffusion equations with Robin boundary conditions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4697 ◽

2017 ◽

Vol 41 (4) ◽

pp. 1683-1696 ◽

Author(s):

Juntang Ding ◽

Xuhui Shen

Keyword(s):

Boundary Conditions ◽

Blow Up ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Robin Boundary Conditions ◽

Blow Up Analysis ◽

Nonlinear Reaction ◽

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Dirichlet boundary conditions can prevent blow-up in reaction-diffusion equations and systems

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2006.14.63 ◽

2005 ◽

Vol 14 (1) ◽

pp. 63-74 ◽

Author(s):

Juan-Luis Vázquez ◽

Hirokazu Ninomiya ◽

Marek Fila

Keyword(s):

Boundary Conditions ◽

Dirichlet Boundary ◽

Blow Up ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Dirichlet Boundary Conditions ◽

Diffusion Equations

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Jacobi–Gauss–Lobatto collocation method for solving nonlinear reaction–diffusion equations subject to Dirichlet boundary conditions

Applied Mathematical Modelling ◽

10.1016/j.apm.2015.09.009 ◽

2016 ◽

Vol 40 (3) ◽

pp. 1703-1716 ◽

Author(s):

A.H. Bhrawy ◽

E.H. Doha ◽

M.A. Abdelkawy ◽

R.A. Van Gorder

Keyword(s):

Boundary Conditions ◽

Collocation Method ◽

Dirichlet Boundary ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Dirichlet Boundary Conditions ◽

Diffusion Equations ◽

Nonlinear Reaction

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Blow-up phenomena for a class of nonlinear reaction-diffusion equations under nonlinear boundary conditions

Applicable Analysis ◽

10.1080/00036811.2018.1478079 ◽

2018 ◽

Vol 98 (16) ◽

pp. 2868-2883 ◽

Author(s):

Ling-Ling Zhang ◽

Hui-Min Tian

Keyword(s):

Boundary Conditions ◽

Nonlinear Boundary ◽

Blow Up ◽

Reaction Diffusion ◽

Nonlinear Boundary Conditions ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction

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Necessary and Sufficient Conditions for the Unique Solvability of a Nonlinear Reaction-Diffusion Model

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1998.6165 ◽

1998 ◽

Vol 228 (2) ◽

pp. 483-494 ◽

Author(s):

Jeffrey R. Anderson

Keyword(s):

Diffusion Model ◽

Unique Solvability ◽

Sufficient Conditions ◽

Reaction Diffusion ◽

Necessary And Sufficient Conditions ◽

Nonlinear Reaction ◽

Reaction Diffusion Model ◽

Necessary And Sufficient

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Global exponential stability and existence of periodic solutions for delayed reaction-diffusion BAM neural networks with Dirichlet boundary conditions

Boundary Value Problems ◽

10.1186/1687-2770-2013-105 ◽

2013 ◽

Vol 2013 (1) ◽

Author(s):

Weiyuan Zhang ◽

Junmin Li ◽

Minglai Chen

Keyword(s):

Neural Networks ◽

Boundary Conditions ◽

Exponential Stability ◽

Global Exponential Stability ◽

Dirichlet Boundary ◽

Reaction Diffusion ◽

Dirichlet Boundary Conditions ◽

Bam Neural Networks ◽

Delayed Reaction ◽

Existence Of Periodic Solutions

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Passivity Analysis of Coupled Reaction-Diffusion Neural Networks With Dirichlet Boundary Conditions

IEEE Transactions on Systems Man and Cybernetics Systems ◽

10.1109/tsmc.2016.2622363 ◽

2017 ◽

Vol 47 (8) ◽

pp. 2148-2159 ◽

Author(s):

Jin-Liang Wang ◽

Huai-Ning Wu ◽

Tingwen Huang ◽

Shun-Yan Ren ◽

Jigang Wu

Keyword(s):

Neural Networks ◽

Boundary Conditions ◽

Dirichlet Boundary ◽

Reaction Diffusion ◽

Dirichlet Boundary Conditions ◽

Passivity Analysis ◽

Coupled Reaction

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