Wave propagation under curvature effects in a heterogeneous medium

DOI10.1080/00036819708840532zbMath0878.35009OpenAlexW2039690718MaRDI QIDQ4351441

Gawtum Namah, Xinfu Chen

Publication date: 12 January 1998

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819708840532

zbMATH Keywords

initial-boundary value problemHamilton-Jacobi equationquasilinear parabolic equationperiodic travelling wave

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Periodic solutions to PDEs (35B10) Singular perturbations in context of PDEs (35B25)

Related Items (9)

Waves, bumps, and patterns in neural field theories ⋮ Counter-example in three dimension and homogenization of geometric motions in two dimension ⋮ Periodic travelling wave solutions of a curvature flow equation in the plane ⋮ Exponential stability of traveling pulse solutions of a singularly perturbed system of integral differential equations arising from excitatory neuronal networks ⋮ The Decay Rates of Traveling Waves and Spectral Analysis for a Class of Nonlocal Evolution Equations ⋮ (Bounded) traveling combustion fronts with degenerate kinetics ⋮ Traveling waves of a curvature flow in almost periodic media ⋮ Curvature effect on asymptotic profiles of spiral curves ⋮ Periodic travelling wave solutions of a parabolic equation: a monotonicity result.

Cites Work

• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Convergence to periodic fronts in a class of semiliner parabolic equations
• Unnamed Item

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