On the mean speed of bistable transition fronts in unbounded domains
From MaRDI portal
Publication:2310802
DOI10.1016/j.matpur.2020.02.002zbMath1450.35108arXiv1808.03439OpenAlexW2996002162MaRDI QIDQ2310802
François Hamel, Hongjun Guo, Wei-Jie Sheng
Publication date: 6 April 2020
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.03439
exterior domainspropagation speedbistable reaction-diffusion equationsdomains with multiple cylindrical branchesglobal mean speed
Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear elliptic equations (35J61) Traveling wave solutions (35C07) Semilinear parabolic equations (35K58) Comparison principles in context of PDEs (35B51)
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Cites Work
- Unnamed Item
- A multi-dimensional bistable nonlinear diffusion equation in a periodic medium
- Convergence to generalized transition waves for some Holling-Tanner prey-predator reaction-diffusion system
- Transition fronts in inhomogeneous Fisher-KPP reaction-diffusion equations
- Critical travelling waves for general heterogeneous one-dimensional reaction-diffusion equations
- Transition waves for Fisher-KPP equations with general time-heterogeneous and space-periodic coefficients
- 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.
- Propagation phenomena for time heterogeneous KPP reaction-diffusion equations
- Existence and non-existence of Fisher-KPP transition fronts
- Multi-dimensional traveling fronts in bistable reaction-diffusion equations
- Entire solutions with merging fronts to reaction-diffusion equations
- Asymptotic properties and classification of bistable fronts with Lipschitz level sets
- 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
- Une méthode locale pour l'existence de solutions positives de problèmes semi-linéaires elliptiques dans \(R^ n\).
- Symmetry and related properties via the maximum principle
- The approach of solutions of nonlinear diffusion equations to travelling front solutions
- Multidimensional nonlinear diffusion arising in population genetics
- Existence and non-existence of transition fronts for bistable and ignition reactions
- Monotonicity of bistable transition fronts in \(\mathbb{R}^{N}\)
- A heteroclinic orbit connecting traveling waves pertaining to different nonlinearities
- 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
- Blocking and invasion for reaction-diffusion equations in periodic media
- Generalized traveling waves in disordered media: existence, uniqueness, and stability
- Entire solution in cylinder-like domains for a bistable reaction-diffusion equation
- Symmetry of traveling wave solutions to the Allen-Cahn equation in \({\mathbb R^{2}}\)
- Transition fronts of combustion reaction diffusion equations in \(\mathbb{R}^N\)
- Existence, uniqueness, and stability of generalized traveling waves in time dependent monostable equations
- Traveling waves with paraboloid like interfaces for balanced bistable dynamics
- 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
- Entire solutions to reaction-diffusion equations in multiple half-lines with a junction
- Generalized fronts for one-dimensional reaction-diffusion equations
- Propagation properties of reaction-diffusion equations in periodic domains
- Transition fronts for the Fisher-KPP equation
- Transition fronts for inhomogeneous monostable reaction–diffusion equations via linearization at zero
- 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
- Solutions of Semilinear Elliptic Equations in with Conical&Shaped Level Sets
- Multidimensional transition fronts for Fisher–KPP reactions
- Traveling Waves with Multiple and Nonconvex Fronts for a Bistable Semilinear Parabolic Equation
- 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
- Traveling Fronts of Pyramidal Shapes in the Allen–Cahn Equations
- Existence and Nonexistence of Traveling Wave Solutions for a Bistable Reaction-Diffusion Equation in an Infinite Cylinder Whose Diameter is Suddenly Increased
- Travelling fronts and entire solutions of the Fisher-KPP equation in \({\mathbb R}^N\)
- Wave solutions to reaction-diffusion systems in perforated domains
