Front propagation directed by a line of fast diffusion: large diffusion and large time asymptotics

DOI10.5802/jep.40zbMath1430.35117arXiv1603.04494OpenAlexW2301944863MaRDI QIDQ2011979

Laurent Dietrich, Jean-Michel Roquejoffre

Publication date: 27 July 2017

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.04494

zbMATH Keywords

quenchingasymptoticreaction-diffusionaccelerationpropagationenhancementcouplinginvasiontraveling fronts

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Traveling wave solutions (35C07) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (2)

Propagation for KPP bulk-surface systems in a general cylindrical domain ⋮ The leading edge of a free boundary interacting with a line of fast diffusion

Cites Work

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• The mathematics behind biological invasions
• Reaction-diffusion front speed enhancement by flows
• Boundary layers and KPP fronts in a cellular flow
• Convergence and sharp thresholds for propagation in nonlinear diffusion problems
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Multidimensional nonlinear diffusion arising in population genetics
• Bulk burning rate in passive-reactive diffusion
• Elliptic partial differential equations of second order
• Travelling fronts in cylinders
• The influence of a line with fast diffusion on Fisher-KPP propagation
• Speed-up of combustion fronts in shear flows
• Quenching of reaction by cellular flows
• Quenching of combustion by shear flows
• Velocity enhancement of reaction-diffusion fronts by a line of fast diffusion
• The effect of a line with nonlocal diffusion on Fisher-KPP propagation
• Existence of Travelling Waves for a Reaction–Diffusion System with a Line of Fast Diffusion
• Quenching of flames by fluid advection
• Flame enhancement and quenching in fluid flows
• Stability of Generalized Transition Fronts
• Propagation and quenching in a reactive Burgers–Boussinesq system
• Bounds for the fundamental solution of a parabolic equation
• Sharp transition between extinction and propagation of reaction

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