| Issue |
ESAIM: COCV
Volume 15, Number 4, October-December 2009
|
|
|---|---|---|
| Page(s) | 914 - 933 | |
| DOI | https://doi.org/10.1051/cocv:2008058 | |
| Published online | 20 August 2008 | |
Multibump solutions and asymptotic expansions for mesoscopic Allen-Cahn type equations
1
Dipartimento di Matematica, Università di Pisa, Via Buonarroti, 2, 56127 Pisa, Italy. novaga@dm.unipi.it
2
Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica, 1, 00133 Roma, Italy. valdinoci@mat.uniroma2.it
Received:
25
March
2008
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.
Mathematics Subject Classification: 35B40 / 49R50
Key words: Oscillatory solutions of PDEs / phase transitions / asymptotic expansions
© EDP Sciences, SMAI, 2008
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