On a class of infinite transition solutions for an Allen-Cahn model equation

DOI10.3934/dcds.2008.21.319zbMath1141.35368OpenAlexW2324496297MaRDI QIDQ939269

Paul H. Rabinowitz, Edward W. Stredulinsky

Publication date: 22 August 2008

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2008.21.319

zbMATH Keywords

phase transitionsminimizationheteroclinicAllen-Cahn

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational principles in infinite-dimensional spaces (58E30) Variational methods for elliptic systems (35J50) Phase transformations in solids (74N99)

Related Items (7)

Existence of a heteroclinic solution for a double well potential equation in an infinite cylinder of $\mathbb{R}^{N}$ ⋮ Complex dynamics in a ODE model related to phase transition ⋮ Bump solutions for the mesoscopic Allen-Cahn equation in periodic media ⋮ Multitransition solutions for a generalized Frenkel-Kontorova model ⋮ On a phase transition model ⋮ Dynamical behaviors for generalized pendulum type equations with \(p\)-Laplacian ⋮ Universality of crystallographic pinning

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