Geodesic
Multibump solutions and asymptotic expansions for mesoscopic Allen-Cahn type equations
ESAIM: Control, Optimisation and Calculus of Variations, Tome 15 (2009) no. 4, pp. 914-933 Cet article a éte moissonné depuis la source Numdam

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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.

DOI : 10.1051/cocv:2008058
Classification : 35B40, 49R50
Keywords: oscillatory solutions of PDEs, phase transitions, asymptotic expansions 
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     author = {Novaga, Matteo and Valdinoci, Enrico},
     title = {Multibump solutions and asymptotic expansions for mesoscopic {Allen-Cahn} type equations},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {914--933},
     year = {2009},
     publisher = {EDP-Sciences},
     volume = {15},
     number = {4},
     doi = {10.1051/cocv:2008058},
     mrnumber = {2567252},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008058/}
}
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Novaga, Matteo; Valdinoci, Enrico. Multibump solutions and asymptotic expansions for mesoscopic Allen-Cahn type equations. ESAIM: Control, Optimisation and Calculus of Variations, Tome 15 (2009) no. 4, pp. 914-933. doi: 10.1051/cocv:2008058

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