Bifurcation diagrams and Turing patterns in a chemical self-replicating reaction-diffusion system with cross diffusion

2007 ◽  
Vol 127 (17) ◽  
pp. 174903 ◽  
Author(s):  
Jessica M. Chung ◽  
Enrique Peacock-López
Keyword(s):  
Reaction Diffusion ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Turing Patterns ◽  
Bifurcation Diagrams ◽  
Cross Diffusion

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.

Turing Patterns in a Reaction-Diffusion System

2006 ◽  
Vol 45 (4) ◽  
pp. 761-764 ◽  
Author(s):  
Wu Yan-Ning ◽  
Wang Ping-Jian ◽  
Hou Chun-Ju ◽  
Liu Chang-Song ◽  
Zhu Zhen-Gang
Keyword(s):  
Reaction Diffusion ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Turing Patterns
Sign in / Sign up

Export Citation Format

Share Document