How do oscillating fronts form?

In this paper, we study a fourth order semilinear parabolic equation on the infinite real line. We show that in a certain parameter range, this equation has propagating front solutions (solutions tending to 0 at + ∞ and advancing to the right with a speed c) which leave behind them a periodic pattern in the laboratory frame. This is thus an example of spontaneous pattern formation.

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Year of publication:	1986
Authors:	Collet, P. ; Eckmann, J.-P.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 140.1986, 1, p. 96-104
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011060978