Excitation wave breaking in excitable media with linear shear flow

Biktashev, V., Holden, A., Tsyganov, M., Brindley, J. and Hill, N.A. (1998) Excitation wave breaking in excitable media with linear shear flow. Physical Review Letters, 81(13), pp. 2815-2818. (doi: 10.1103/PhysRevLett.81.2815)

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Publisher's URL: http://dx.doi.org/10.1103/PhysRevLett.81.2815

Abstract

If an excitable medium is moving with relative shear, the waves of excitation may be broken by the motion. We consider such breaks for the case of a constant linear shear flow. The mechanisms and conditions for the breaking of solitary waves and wave trains are essentially different: the solitary waves require the velocity gradient to exceed a certain threshold, while the breaking of repetitive wave trains happens for arbitrarily small velocity gradients.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Hill, Professor Nicholas
Authors: Biktashev, V., Holden, A., Tsyganov, M., Brindley, J., and Hill, N.A.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Physical Review Letters
Publisher:American Physical Society
ISSN:0031-9007
ISSN (Online):1079-7114

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