Multibump solutions and asymptotic expansions for mesoscopic Allen-Cahn type equations

Matteo Novaga; Enrico Valdinoci

doi:10.1051/cocv:2008058

Multibump solutions and asymptotic expansions for mesoscopic Allen-Cahn type equations

Matteo Novaga, Enrico Valdinoci

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We consider a mesoscopic model for phase transitions in a periodic medium and we construct multibump solutions. The rational perturbative case is dealt with by explicit asymptotics.

Original language	English
Pages (from-to)	914-933
Number of pages	20
Journal	ESAIM - Control, Optimisation and Calculus of Variations
Volume	15
Issue number	4
DOIs	https://doi.org/10.1051/cocv:2008058
Publication status	Published - 1 Oct 2009
Externally published	Yes

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KW - Asymptotic expansions

KW - Oscillatory solutions of PDEs

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Multibump solutions and asymptotic expansions for mesoscopic Allen-Cahn type equations

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