Spreading speeds for one-dimensional monostable reaction-diffusion equations

From MaRDI portal
Publication:2872376

DOI10.1063/1.4764932zbMath1282.35191arXiv1603.00430OpenAlexW2017779708MaRDI QIDQ2872376

Gregoire Nadin, Henri Berestycki

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.00430




Related Items (41)

Spreading speeds and transition fronts of lattice KPP equations in time heterogeneous mediaThe shape of expansion induced by a line with fast diffusion in Fisher-KPP equationsAsymptotic Spreading for General Heterogeneous Fisher-KPP Type EquationsDiffusive KPP equations with free boundaries in time almost periodic environments. II: Spreading speeds and semi-wave solutions.The effect of a line with nonlocal diffusion on Fisher-KPP propagationExistence of traveling wave solutions of parabolic-parabolic chemotaxis systemsOn the definition and the properties of the principal eigenvalue of some nonlocal operatorsSpreading sets and one-dimensional symmetry for reaction-diffusion equationsTraveling wave solutions for time periodic reaction-diffusion systemsPropagation of KPP equations with advection in one-dimensional almost periodic media and its symmetryA free boundary problem with nonlocal diffusion and unbounded initial rangeDiameters of the level sets for reaction-diffusion equations in nonperiodic slowly varying mediaPersistence and spreading speeds of parabolic-elliptic Keller-Segel models in shifting environmentsPropagation dynamics of a nonlocal reaction-diffusion systemAsymptotic spreading for Fisher-KPP reaction-diffusion equations with heterogeneous shifting diffusivityHomogenization for space-time-dependent KPP reaction-diffusion equations and G-equationsConvergence to pulsating traveling waves with minimal speed in some KPP heterogeneous problemsInvariance principle for the maximal position process of branching Brownian motion in random environmentSpreading speeds of nonlocal KPP equations in almost periodic mediaStochastic homogenization for reaction-diffusion equationsAsymptotic spreading of interacting species with multiple fronts. II: Exponentially decaying initial dataGeneralized transition fronts for one-dimensional almost periodic Fisher-KPP equationsGlobal existence and asymptotic behavior of classical solutions to a parabolic-elliptic chemotaxis system with logistic source on \(\mathbb{R}^N\)Transition waves for two species competition system in time heterogeneous mediaThe Freidlin-Gärtner formula for general reaction termsMaximal and minimal spreading speeds for reaction diffusion equations in nonperiodic slowly varying mediaSpreading in kinetic reaction–transport equations in higher velocity dimensionsSpreading speeds of KPP-type lattice systems in heterogeneous mediaLiouville type result and long time behavior for Fisher-KPP equation with sign-changing and decaying potentialsAsymptotic spreading of interacting species with multiple fronts. I: A geometric optics approachGlobal existence and asymptotic behavior of a two-species competitive Keller-Segel system on \(\mathbb{R}^N\)Speed-up of reaction-diffusion fronts by a line of fast diffusionSemi-wave solutions of KPP-Fisher equations with free boundaries in spatially almost periodic mediaGlobal classical solutions, stability of constant equilibria, and spreading speeds in attraction-repulsion chemotaxis systems with logistic source on \(\mathbb{R}^{N}\)Spreading speeds of nonlocal KPP equations in heterogeneous mediaAsymptotic spreading of KPP reactive fronts in heterogeneous shifting environmentsGeneralizations and Properties of the Principal Eigenvalue of Elliptic Operators in Unbounded DomainsPrincipal Eigenvalues of Generalized Convolution Operators on the Circle and Spreading Speeds of Noncompact Evolution Systems in Periodic MediaPropagation and blocking in a two-patch reaction-diffusion modelDiffusive KPP equations with free boundaries in time almost periodic environments I: Spreading and vanishing dichotomyHow does the spreading speed associated with the Fisher-KPP equation depend on random stationary diffusion and reaction terms?



Cites Work


This page was built for publication: Spreading speeds for one-dimensional monostable reaction-diffusion equations