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The amplitude equation for weakly nonlinear reversible phase boundaries

Sylvie Benzoni-Gavage 1 Jean-François Coulombel 2
1 MMCS - Modélisation mathématique, calcul scientifique
ICJ - Institut Camille Jordan [Villeurbanne]
2 Equations aux dérivées partielles
LMJL - Laboratoire de Mathématiques Jean Leray
Abstract : This technical note is a complement to an earlier paper [Benzoni-Gavage & Rosini, Comput. Math. Appl. 2009], which aims at a deeper understanding of a basic model for propagating phase boundaries that was proved to admit surface waves [Benzoni-Gavage, Nonlinear Anal. 1998]. The amplitude equation governing the evolution of weakly nonlinear surface waves for that model is computed explicitly, and is eventually found to have enough symmetry properties for the associated Cauchy problem to be locally well-posed.
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https://hal.archives-ouvertes.fr/hal-01208192
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Submitted on : Friday, October 2, 2015 - 10:13:15 AM
Last modification on : Tuesday, September 21, 2021 - 4:06:13 PM
Long-term archiving on: : Sunday, January 3, 2016 - 10:32:55 AM

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  • HAL Id : hal-01208192, version 1
  • ARXIV : 1510.00540

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Sylvie Benzoni-Gavage, Jean-François Coulombel. The amplitude equation for weakly nonlinear reversible phase boundaries. [Research Report] CNRS. 2015. ⟨hal-01208192⟩

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