scholarly journals Traveling waves and their stability in a coupled reaction diffusion system

2010 ◽  
Vol 10 (1) ◽  
pp. 141-160 ◽  
Author(s):  
Xiaojie Hou ◽  
Wei Feng
Keyword(s):  
Traveling Waves ◽  
Reaction Diffusion ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Coupled Reaction

Dynamics of a coupled reaction-diffusion system

1990 ◽  
Vol 42 (1) ◽  
pp. 81-84 ◽  
Author(s):  
B Etlicher ◽  
H Wilhelmsson
Keyword(s):  
Reaction Diffusion ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Coupled Reaction

Traveling Waves in a Reaction-Diffusion System Describing Smoldering Combustion

2017 ◽  
Vol 77 (2) ◽  
pp. 614-637 ◽  
Author(s):  
Ekeoma Rowland Ijioma ◽  
Hirofumi Izuhara ◽  
Masayasu Mimura
Keyword(s):  
Traveling Waves ◽  
Reaction Diffusion ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Smoldering Combustion

Unique continuation for a reaction-diffusion system with cross diffusion

2019 ◽  
Vol 27 (4) ◽  
pp. 511-525 ◽  
Author(s):  
Bin Wu ◽  
Ying Gao ◽  
Zewen Wang ◽  
Qun Chen
Keyword(s):  
Unique Continuation ◽  
Reaction Diffusion ◽  
Cauchy Data ◽  
Carleman Estimate ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Lateral Boundary ◽  
Strongly Coupled ◽  
Cross Diffusion ◽  
Coupled Reaction

Abstract This paper concerns unique continuation for a reaction-diffusion system with cross diffusion, which is a drug war reaction-diffusion system describing a simple dynamic model of a drug epidemic in an idealized community. We first establish a Carleman estimate for this strongly coupled reaction-diffusion system. Then we apply the Carleman estimate to prove the unique continuation, which means that the Cauchy data on any lateral boundary determine the solution uniquely in the whole domain.

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