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 PDEs, phase transitions, asymptotic expansions
@article{COCV_2009__15_4_914_0,
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 = {https://www.numdam.org/articles/10.1051/cocv:2008058/}
}
TY - JOUR AU - Novaga, Matteo AU - Valdinoci, Enrico TI - Multibump solutions and asymptotic expansions for mesoscopic Allen-Cahn type equations JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2009 SP - 914 EP - 933 VL - 15 IS - 4 PB - EDP Sciences UR - https://www.numdam.org/articles/10.1051/cocv:2008058/ DO - 10.1051/cocv:2008058 LA - en ID - COCV_2009__15_4_914_0 ER -
%0 Journal Article %A Novaga, Matteo %A Valdinoci, Enrico %T Multibump solutions and asymptotic expansions for mesoscopic Allen-Cahn type equations %J ESAIM: Control, Optimisation and Calculus of Variations %D 2009 %P 914-933 %V 15 %N 4 %I EDP Sciences %U https://www.numdam.org/articles/10.1051/cocv:2008058/ %R 10.1051/cocv:2008058 %G en %F COCV_2009__15_4_914_0
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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