The non-linear stability of front solutions for parabolic partial differential equations

Eckmann, Jean-Pierre; Wayne, C. Eugene

doi:10.1007/bf02099781

Scientific article

English

The non-linear stability of front solutions for parabolic partial differential equations

ContributorsEckmann, Jean-Pierre

; Wayne, C. Eugene

Published inCommunications in Mathematical Physics, vol. 161, p. 323-334

Publication date1994

Abstract

For the Ginzburg-Landau equation and similar reaction-diffusion equations on the line, we show convergence of complex perturbations of front solutions towards the front solutions, by exhibiting a coercive functional.

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Citation (ISO format)

ECKMANN, Jean-Pierre, WAYNE, C. Eugene. The non-linear stability of front solutions for parabolic partial differential equations. In: Communications in Mathematical Physics, 1994, vol. 161, p. 323–334. doi: 10.1007/bf02099781

Article (Published version)

Identifiers

PID : unige:92349
DOI : 10.1007/bf02099781

Additional URL for this publicationhttp://projecteuclid.org/euclid.cmp/1104269905

Journal ISSN1432-0916

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The non-linear stability of front solutions for parabolic partial differential equations

For the Ginzburg-Landau equation and similar reaction-diffusion equations on the line, we show convergence of complex perturbations of front solutions towards the front solutions, by exhibiting a coercive functional.

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