Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 

 

Analysis of hysteretic reaction-diffusion systems


Authors: Chichia Chiu and Noel Walkington
Journal: Quart. Appl. Math. 56 (1998), 89-106
MSC: Primary 92D25; Secondary 35K57, 47D06, 47N20
DOI: https://doi.org/10.1090/qam/1604805
MathSciNet review: MR1604805
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, we consider a mathematical model motivated by patterned growth of bacteria. The model is a system of differential equations that consists of two sub-systems. One is a system of ordinary differential equations and the other one is a reaction-diffusion system. Pattern formation in this model is caused by an initial instability of the ordinary differential equations. However, nonlinear coupling to the reaction-diffusion system stabilizes the ordinary differential equations resulting in stationary long-time behavior. We establish existence, uniqueness, and characterize long-time behavior of the solutions.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC: 92D25, 35K57, 47D06, 47N20

Retrieve articles in all journals with MSC: 92D25, 35K57, 47D06, 47N20


Additional Information

DOI: https://doi.org/10.1090/qam/1604805
Article copyright: © Copyright 1998 American Mathematical Society


Brown University The Quarterly of Applied Mathematics
is distributed by the American Mathematical Society
for Brown University
Online ISSN 1552-4485; Print ISSN 0033-569X
© 2017 Brown University
Comments: qam-query@ams.org
AMS Website