Front propagation and blocking of time periodic bistable reaction-diffusion equations in cylindrical domains

DOI10.1007/s00526-023-02508-4zbMath1517.35083MaRDI QIDQ6098494

Zhi-Cheng Wang, Mingxin Wang, Wei-Jie Sheng

Publication date: 14 June 2023

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Traveling wave solutions (35C07) Entire solutions to PDEs (35B08)

Cites Work

• Critical travelling waves for general heterogeneous one-dimensional reaction-diffusion equations
• Generalized transition fronts for one-dimensional almost periodic Fisher-KPP equations
• Existence and global stability of traveling curved fronts in the Allen-Cahn equations
• Traveling waves in time dependent bistable equations.
• Periodic traveling curved fronts in reaction-diffusion equation with bistable time-periodic nonlinearity
• Periodic pyramidal traveling fronts of bistable reaction-diffusion equations with time-periodic nonlinearity
• Propagation phenomena for time heterogeneous KPP reaction-diffusion equations
• Existence and non-existence of Fisher-KPP transition fronts
• Nontrivial large-time behaviour in bistable reaction-diffusion equations
• Entire solutions with merging fronts to reaction-diffusion equations
• Transition fronts for periodic bistable reaction-diffusion equations
• Bistable transition fronts in \(\mathbb{R}^N\)
• The uniqueness and asymptotic stability of pyramidal traveling fronts in the Allen-Cahn equations
• Traveling waves in a one-dimensional heterogeneous medium
• Multidimensional periodic traveling waves in infinite cylinders
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Propagating speeds of bistable transition fronts in spatially periodic media
• Transition fronts of time periodic bistable reaction-diffusion equations in \(\mathbb{R}^N\)
• Traveling waves in diffusive random media
• Entire solutions of monotone bistable reaction-diffusion systems in \(\mathbb{R}^N\)
• Blocking and invasion for reaction-diffusion equations in periodic media
• Generalized traveling waves in disordered media: existence, uniqueness, and stability
• Reaction-diffusion fronts in funnel-shaped domains
• Entire solutions of combustion reaction-diffusion equations in exterior domains
• Transition fronts in unbounded domains with multiple branches
• Entire solutions of time periodic bistable Lotka-Volterra competition-diffusion systems in \(\mathbb{R}^N\)
• Generalized traveling waves for time-dependent reaction-diffusion systems
• Time-periodic planar fronts around an obstacle
• On the mean speed of bistable transition fronts in unbounded domains
• Transition fronts of combustion reaction diffusion equations in \(\mathbb{R}^N\)
• Existence, uniqueness, and stability of generalized traveling waves in time dependent monostable equations
• Corner defects in almost planar interface propagation
• Existence and qualitative properties of multidimensional conical bistable fronts
• Front blocking and propagation in cylinders with varying cross section
• Convex compact sets in \(\mathbb{R}^{N - 1}\) give traveling fronts of cooperation-diffusion systems in \(\mathbb{R}^N\)
• Propagation properties of reaction-diffusion equations in periodic domains
• Transition fronts for the Fisher-KPP equation
• Admissible speeds of transition fronts for nonautonomous monostable equations
• Stability, uniqueness and recurrence of generalized traveling waves in time heterogeneous media of ignition type
• Propagation of Reactions in Inhomogeneous Media
• Bistable traveling waves around an obstacle
• An Entire Solution to the Lotka–Volterra Competition-Diffusion Equations
• Periodic traveling waves and locating oscillating patterns in multidimensional domains
• Entire solutions of the KPP equation
• Solutions of Semilinear Elliptic Equations in with Conical&Shaped Level Sets
• Front propagation in periodic excitable media
• Front propagation and blocking of reaction–diffusion systems in cylinders
• Stability of Generalized Transition Fronts
• Stability of transition waves and positive entire solutions of Fisher-KPP equations with time and space dependence
• Generalized Transition Waves and Their Properties
• Almost Planar Waves in Anisotropic Media
• Propagation phenomena in a diffusion system with the Belousov-Zhabotinskii chemical reaction
• Travelling fronts and entire solutions of the Fisher-KPP equation in \({\mathbb R}^N\)
• Generalized travelling waves for perturbed monotone reaction-diffusion systems
• Pulsating fronts for bistable on average reaction-diffusion equations in a time periodic environment
• Unnamed Item

This page was built for publication: Front propagation and blocking of time periodic bistable reaction-diffusion equations in cylindrical domains