Pinned fronts in heterogeneous media of jump type

DOI10.1088/0951-7715/24/1/007zbMath1208.35010OpenAlexW2121317038MaRDI QIDQ3071095

Kei-ichi Ueda, Peter van Heijster, Tasso J. Kaper, Yasumasa Nishiura, Arjen Doelman

Publication date: 1 February 2011

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/24/1/007

zbMATH Keywords

\(N\)-front patternsdomains with \(M\) heterogeneities of jump type

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Traveling wave solutions (35C07)

Related Items (19)

Pulse dynamics in reaction–diffusion equations with strong spatially localized impurities ⋮ The stability and slow dynamics of spot patterns in the 2D Brusselator model: the effect of open systems and heterogeneities ⋮ Dynamics of two interfaces in a hybrid system with jump-type heterogeneity ⋮ Local control of globally competing patterns in coupled Swift–Hohenberg equations ⋮ Localized patterns in a three-component Fitzhugh-Nagumo model revisited via an action functional ⋮ Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems ⋮ Arbitrarily weak head-on collision can induce annihilation: the role of hidden instabilities ⋮ Planar radial spots in a three-component FitzHugh-Nagumo system ⋮ Reduction approach to the dynamics of interacting front solutions in a bistable reaction-diffusion system and its application to heterogeneous media ⋮ Pinned fluxons in a Josephson junction with a finite-length inhomogeneity ⋮ Pinned solutions in a heterogeneous three-component FitzHugh-Nagumo model ⋮ Heterogeneity-induced effects for pulse dynamics in FitzHugh-Nagumo-type systems ⋮ Unfolding symmetric Bogdanov-Takens bifurcations for front dynamics in a reaction-diffusion system ⋮ Pinned pulse solutions in a Fitzhugh-Nagumo model with a bump-type heterogeneity ⋮ A Geometric Approach to Stationary Defect Solutions in One Space Dimension ⋮ Pulse Solutions for an Extended Klausmeier Model with Spatially Varying Coefficients ⋮ Minimal lamellar structures in a periodic FitzHugh-Nagumo system ⋮ Stability of fronts in inhomogeneous wave equations ⋮ Mathematical Modeling of Plant Root Hair Initiation: Dynamics of Localized Patches

This page was built for publication: Pinned fronts in heterogeneous media of jump type