scholarly journals Blow-up phenomena in a class of coupled reaction-diffusion system with nonlocal boundary conditions

2022 ◽  
Vol 414 ◽  
pp. 126667
Author(s):  
Huimin Tian ◽  
Lingling Zhang ◽  
Xin Wang
Keyword(s):  
Boundary Conditions ◽  
Blow Up ◽  
Nonlocal Boundary ◽  
Reaction Diffusion ◽  
Nonlocal Boundary Conditions ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Coupled Reaction

scholarly journals A Reaction-Diffusion System with Nonlinear Nonlocal Boundary Conditions

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Alexander Gladkov ◽  
Alexandr Nikitin
Keyword(s):  
Boundary Conditions ◽  
Nonlocal Boundary ◽  
Local Existence ◽  
Reaction Diffusion ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Nonlocal Boundary Conditions ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Initial Boundary Value

We consider initial boundary value problem for a reaction-diffusion system with nonlinear and nonlocal boundary conditions and nonnegative initial data. We prove local existence, uniqueness, and nonuniqueness of solutions.

scholarly journals Blowup Properties for a Semilinear Reaction-Diffusion System with Nonlinear Nonlocal Boundary Conditions

2010 ◽  
Vol 2010 ◽  
pp. 1-17 ◽  
Author(s):  
Dengming Liu ◽  
Chunlai Mu
Keyword(s):  
Boundary Condition ◽  
Global Existence ◽  
Nonlocal Boundary Condition ◽  
Nonlocal Boundary ◽  
Sufficient Conditions ◽  
Reaction Diffusion ◽  
Nonlocal Boundary Conditions ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Subsolution And Supersolution

We investigate the blowup properties of the positive solutions for a semilinear reaction-diffusion system with nonlinear nonlocal boundary condition. We obtain some sufficient conditions for global existence and blowup by utilizing the method of subsolution and supersolution.

scholarly journals Global Existence and Blowup for a Reaction-Diffusion System with Nonlocal Boundary Condition

2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
Jun Zhou
Keyword(s):  
Boundary Condition ◽  
Positive Solutions ◽  
Blow Up ◽  
Nonlocal Boundary Condition ◽  
Nonlocal Boundary ◽  
Reaction Diffusion ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Rate Estimate ◽  
Blow Up Rate

This paper considers the singularity properties of positive solutions for a reaction-diffusion system with nonlocal boundary condition. The conditions on the existence and nonexistence of global positive solutions are given. Moreover, we establish the blow-up rate estimate for the blow-up solution.

Non-simultaneous blow-up for a multi-coupled reaction-diffusion system

2006 ◽  
Vol 64 (6) ◽  
pp. 1189-1202 ◽  
Author(s):  
Sining Zheng ◽  
Bingchen Liu ◽  
Fengjie Li
Keyword(s):  
Blow Up ◽  
Reaction Diffusion ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Coupled Reaction
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