Existence of pulsating waves of advection-reaction-diffusion equations of ignition type by a new method
type: Item
instance of: scholarly article
title: Existence of pulsating waves of advection-reaction-diffusion equations of ignition type by a new method
zbMATH Open document ID: 1238.35043
author: Michaël Bages
author: Patrick Martinez
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2012-05-31T00:00:00Z
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35Q79
Mathematics Subject Classification ID: 80A25
Mathematics Subject Classification ID: 35B10
zbMATH DE Number: 6040124
zbMATH Keywords: reaction-diffusion equation
zbMATH Keywords: pulsating waves
zbMATH Keywords: periodic solutions
zbMATH Keywords: implicit function theorem
zbMATH Keywords: continuation method
MaRDI profile type: Publication
full work available at URL: j.na.2009.02.098
OpenAlex ID: W2088008182
cites work: Local stability of critical fronts in nonlinear parabolic partial differential equations
cites work: Laminar flame theory and the steady, linear burning of a monopropellant
cites work: Q5513311
cites work: Stability of travelling waves with noncritical speeds for double degenerate Fisher-type equations
cites work: On the stability of waves of nonlinear parabolic systems
cites work: The behavior of solutions of some non-linear diffusion equations for large time
cites work: Traveling-wave solutions of parabolic systems with discontinuous nonlinear terms
cites work: Q4711172
cites work: Front Propagation in Heterogeneous Media
cites work: Multi-dimensional travelling-wave solutions of a flame propagation model
cites work: Stability of travelling fronts in a model for flame propagation. I: Linear analysis
cites work: Travelling fronts in cylinders
cites work: A Parabolic Equation of the KPP Type in Higher Dimensions
cites work: Stability of travelling fronts in a model for flame propagation. II: Nonlinear stability
cites work: Eventual monotonicity and convergence to travelling fronts for the solutions of parabolic equations in cylinders
cites work: Traveling periodic waves in heterogeneous environments
cites work: Existence of planar flame fronts in convective-diffusive periodic media
cites work: Front propagation in periodic excitable media
cites work: Existence of pulsating waves in a monostable reaction-diffusion system in solid combustion
cites work: Large-time dynamics for a class of KPP-type equations in periodic media
cites work: How travelling waves attract the solutions of KPP-type equations
cites work: Analysis of the periodically fragmented environment model. II: Biological invasions and pulsating travelling fronts
cites work: Qualitative properties of monostable pulsating fronts: Exponential decay and monotonicity
cites work: Q3430680
cites work: Reaction-diffusion equations in space-time periodic media
cites work: Existence of KPP fronts in spatially-temporally periodic advection and variational principle for propagation speeds
cites work: Analytic semigroups and optimal regularity in parabolic problems
cites work: Geometric theory of semilinear parabolic equations
DOI: 10.1016/J.NA.2009.02.098
description: scientific article; zbMATH DE number 6040124