On the motion law of fronts for scalar reaction-diffusion equations with equal depth multiple-well potentials

DOI10.1007/s11401-016-1064-3zbMath1372.35146OpenAlexW2570760757MaRDI QIDQ523796

Didier Smets, Fabrice Bethuel

Publication date: 21 April 2017

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://hal.sorbonne-universite.fr/hal-01481388/file/BS-slowscal-degneo-15-10.pdf

zbMATH Keywords

reaction-diffusion systemsparabolic equationssingular limits

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (1)

Entire minimizers of Allen-Cahn systems with sub-quadratic potentials

Cites Work

• Slow motion for gradient systems with equal depth multiple-well potentials
• Generation, propagation, and annihilation of metastable patterns
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Slow motion in the gradient theory of phase transitions via energy and spectrum
• Slow-motion manifolds, dormant instability, and singular perturbations
• Slow motion for equal depth multiple-well gradient systems: the degenerate case
• Slow motion of gradient flows
• The zero set of a solution of a parabolic equation.
• Invariant manifolds for metastable patterns in u_t = ε²u_xx—f(u)
• On the slowness of phase boundary motion in one space dimension
• Slow Motion in One-Dimensional Cahn–Morral Systems
• Metastable patterns in solutions of u_t = ϵ²u_xx − f(u)

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