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Non-local reaction–diffusion system involved by reaction radius I.

Authors :
Kavallaris, Nikos I.
Suzuki, Takashi
Source :
IMA Journal of Applied Mathematics. Jun2013, Vol. 78 Issue 3, p614-632. 19p.
Publication Year :
2013

Abstract

A reaction–diffusion system with non-local term arises as a mean field limit of a master equation using reaction radius. We show that a two-phase Stefan problem is derived in the limit of infinite chemical reaction rate. The convergence of the global-in-time solutions of the preceding system to a stationary solution is also discussed. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02724960
Volume :
78
Issue :
3
Database :
Academic Search Index
Journal :
IMA Journal of Applied Mathematics
Publication Type :
Academic Journal
Accession number :
87825766
Full Text :
https://doi.org/10.1093/imamat/hxr068