Quenching and propagation of bistable reaction-diffusion fronts in multidimensional periodic media

DOI10.1016/0167-2789(94)00204-4zbMath0900.35193OpenAlexW1969182281MaRDI QIDQ1344712

Jingyi Zhu, Jack X. Xin

Publication date: 13 February 1995

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

Full work available at URL: https://doi.org/10.1016/0167-2789(94)00204-4

zbMATH Keywords

front dynamicsperiodic array of rotating vorticestwo-dimensional finite difference numerical computations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Initial value problems for second-order parabolic equations (35K15)

Related Items (13)

Motion and pinning of discrete interfaces ⋮ Curved fronts of bistable reaction-diffusion equations in spatially periodic media ⋮ Transition fronts for periodic bistable reaction-diffusion equations ⋮ Pulsating fronts of spatially periodic bistable reaction-diffusion equations around an obstacle ⋮ Transition fronts in unbounded domains with multiple branches ⋮ Propagation dynamics of nonlocal dispersal equations with bistable nonlinearity in spatially periodic media ⋮ Wave propagation in distributed media ⋮ Propagating speeds of bistable transition fronts in spatially periodic media ⋮ Front quenching in the G-equation model induced by straining of cellular flow ⋮ Turing pattern formation in heterogeneous media ⋮ Spatiotemporal system identification on nonperiodic domains using Chebyshev spectral operators and system reduction algorithms ⋮ Propagation and blocking in a two-patch reaction-diffusion model ⋮ Reaction-diffusion fronts in funnel-shaped domains

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