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VOL. 64 | 2015 Self-propelled dynamics of deformable domain in excitable reaction diffusion systems
Takao Ohta

Editor(s) Shin-Ichiro Ei, Shuichi Kawashima, Masato Kimura, Tetsu Mizumachi

Abstract

The time-evolution equations for an isolated domain in an excitable reaction-diffusion system are derived both in two and three dimensions by an interfacial approach near the drift bifurcation where a motionless state becomes unstable and a domain starts propagation at a certain velocity. The coupling between shape deformation of domain and the migration velocity is taken into consideration. When the relaxation of shape deformation is slow enough, a straight motion becomes unstable and several kinds of motion of domain appear depending on the parameters. The self-propelled domain dynamics under the external fields is also studied.

Information

Published: 1 January 2015
First available in Project Euclid: 30 October 2018

zbMATH: 1336.35199
MathSciNet: MR3381198

Digital Object Identifier: 10.2969/aspm/06410137

Subjects:
Primary: 37L05, 70K50, 92C10

Rights: Copyright © 2015 Mathematical Society of Japan

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