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Multibump solutions and asymptotic expansions for mesoscopic Allen-Cahn typeequations

Published online by Cambridge University Press:  20 August 2008

Matteo Novaga  and
Enrico Valdinoci
Matteo Novaga
Affiliation:
Dipartimento di Matematica, Università di Pisa, Via Buonarroti, 2, 56127 Pisa, Italy. novaga@dm.unipi.it
Enrico Valdinoci
Affiliation:
Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica, 1, 00133 Roma, Italy. valdinoci@mat.uniroma2.it
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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.

Keywords

Oscillatory solutions of PDEsphase transitionsasymptotic expansions
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 15 , Issue 4 , October 2009 , pp. 914 - 933
Copyright
© EDP Sciences, SMAI, 2008

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