Existence and uniqueness of traveling waves for fully overdamped Frenkel-Kontorova models

DOI10.1007/s00205-013-0641-9zbMath1285.82049OpenAlexW2081584987MaRDI QIDQ394024

Nicolas Forcadel, M. Al Haj, Régis Monneau

Publication date: 24 January 2014

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-013-0641-9

zbMATH Keywords

bistable nonlinearitytraveling wavefully overdamped Frenkel-Kontorova model

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Statistical mechanics of solids (82D20) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Ordinary lattice differential equations (34A33) Traveling wave solutions (35C07)

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