Spatially Periodic Domain Structure in Coupled Reaction–Diffusion Equations for Segment Formation

2012 ◽  
Vol 81 (2) ◽  
pp. 024802 ◽  
Author(s):  
Hidetsugu Sakaguchi
Keyword(s):  
Domain Structure ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equations ◽  
Diffusion Equations ◽  
Periodic Domain ◽  
Spatially Periodic ◽  
Coupled Reaction ◽  
Periodic Domain Structure

Comparison principles for strongly coupled reaction diffusion equations in unbounded domains

1988 ◽  
Vol 110 (3-4) ◽  
pp. 311-319 ◽  
Author(s):  
E. Tuma
Keyword(s):  
Unbounded Domains ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equations ◽  
Diffusion Equations ◽  
Nerve Fibres ◽  
Strongly Coupled ◽  
Comparison Principles ◽  
Nagumo Equations ◽  
And Diffusion ◽  
Coupled Reaction

SynopsisComparison principles for systems of reaction–diffusion equations in unbounded domains and coupledvia both reaction and diffusion terms are considered. Applications are made to the FitzHugh–Nagumo equations and models of coupled nerve fibres.

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