Propagating terrace in a periodic reaction-diffusion equation with convection
type: Item
instance of: scholarly article
title: Propagating terrace in a periodic reaction-diffusion equation with convection
DOI: 10.11948/20230239
author: Q6181912
author: Bang-Sheng Han
published in: Journal of Applied Analysis and Computation
publication date: 2024-10-09T00:00:00Z
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 7924007
zbMATH Keywords: spatial period
zbMATH Keywords: convective term
zbMATH Keywords: pulsating wave
zbMATH Keywords: minimal propagating terrace
zbMATH Keywords: limit set
MaRDI profile type: Publication
cites work: Periodic traveling waves and locating oscillating patterns in multidimensional domains
cites work: The zero set of a solution of a parabolic equation.
cites work: Convergence of solutions of the Kolmogorov equation to travelling waves
cites work: Pulsating type entire solutions originating from three fronts for a bistable reaction-advection-diffusion equation in periodic media
cites work: Pulsating fronts for bistable on average reaction-diffusion equations in a time periodic environment
cites work: Admissible speeds in spatially periodic bistable reaction-diffusion equations
cites work: Existence and convergence to a propagating terrace in one-dimensional reaction-diffusion equations
cites work: The approach of solutions of nonlinear diffusion equations to travelling front solutions
cites work: A phase plane discussion of convergence to travelling fronts for nonlinear diffusion
cites work: Traveling wave phenomena of a nonlocal reaction-diffusion equation with degenerate nonlinearity
cites work: Propagation dynamics of a nonlocal reaction-diffusion system
cites work: Long-time asymptotic behavior of Fisher-KPP equation for nonlocal dispersal in asymmetric kernel
cites work: Spreading speeds and traveling waves for periodic evolution systems
cites work: Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
cites work: Convergence of solutions of one-dimensional semilinear parabolic equations
cites work: Dynamics of nonnegative solutions of one-dimensional reaction–diffusion equations with localized initial data. Part I: A general quasiconvergence theorem and its consequences
cites work: Threshold solutions and sharp transitions for nonautonomous parabolic equations on \({\mathbb{R}^N}\)
cites work: Examples of bounded solutions with nonstationary limit profiles for semilinear heat equations on \({\mathbb{R}}\)
cites work: Threshold behavior and non-quasiconvergent solutions with localized initial data for bistable reaction-diffusion equations
cites work: Propagating terraces in a proof of the Gibbons conjecture and related results
cites work: Planar Propagating Terraces and the Asymptotic One-dimensional Symmetry of Solutions of Semilinear Parabolic Equations
cites work: Global Stability of Traveling Fronts and Convergence Towards Stacked Families of Waves in Monotone Parabolic Systems
cites work: Traveling waves in time almost periodic structures governed by bistable nonlinearities. I: Stability and Uniqueness
cites work: Existence, uniqueness, and stability of generalized traveling waves in time dependent monostable equations
cites work: Stability, uniqueness and recurrence of generalized traveling waves in time heterogeneous media of ignition type
cites work: Transition fronts in time heterogeneous and random media of ignition type
cites work: Transition fronts in nonlocal equations with time heterogeneous ignition nonlinearity
cites work: Q4317888
cites work: Asymptotic behavior of solutions of a nonlinear diffusion equation with a source term of general form
cites work: Uniqueness of monostable pulsating wave fronts for time periodic reaction-diffusion equations
description: scientific article; zbMATH DE number 7924007