How do oscillating fronts form?

P. Collet and J.-P. Eckmann

Physica A: Statistical Mechanics and its Applications, 1986, vol. 140, issue 1, 96-104

Abstract: 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.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:140:y:1986:i:1:p:96-104

DOI: 10.1016/0378-4371(86)90209-8

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