Dynamics of kinks in two-dimensional hyperbolic models

DOI10.1016/S0167-2789(99)00160-8zbMath0946.35050OpenAlexW2136123359MaRDI QIDQ1961683

Horacio G. Rotstein, Alexander A. Nepomnyashchy

Publication date: 8 October 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(99)00160-8

zbMATH Keywords

sine-Gordon equationBorn-Infeld equationdynamics of fronts

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Singular perturbations in context of PDEs (35B25) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (11)

Gibbs-Thomson condition for the rapidly moving interface in a binary system ⋮ A refined description of evolving interfaces in certain nonlinear wave equations ⋮ Closure and convexity results for closed relativistic strings ⋮ Traveling wave solutions for the hyperbolic Cahn-Allen equation ⋮ The 3-D nonlinear hyperbolic-parabolic problems: invariant manifolds ⋮ Dynamics of one- and two-dimensional kinks in bistable reaction–diffusion equations with quasidiscrete sources of reaction ⋮ Front motion for phase transitions in systems with memory ⋮ A new equation describing the bubble expansion in metastable media ⋮ Hyperbolic phase-field dynamics with memory ⋮ Accelerating fronts in semilinear wave equations ⋮ Interface dynamics in semilinear wave equations

Cites Work

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• Kinks and the minimal surface equation in Minkowski space
• The heat equation shrinking convex plane curves
• The heat equation shrinks embedded plane curves to round points
• Dynamics of quasi-one-dimensional kinks in the two-dimensional sine- Gordon model
• Fast Reaction, Slow Diffusion, and Curve Shortening
• Foundations of the new field theory

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