Transition fronts in time heterogeneous and random media of ignition type
From MaRDI portal
Publication:338456
DOI10.1016/j.jde.2016.09.030zbMath1401.35187arXiv1407.7579OpenAlexW2962765913MaRDI QIDQ338456
Publication date: 4 November 2016
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.7579
Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Traveling wave solutions (35C07)
Related Items (15)
Regularity of transition fronts in nonlocal dispersal evolution equations ⋮ Existence and non-existence of transition fronts for bistable and ignition reactions ⋮ Spatial dynamics for a time-periodic epidemic model in discrete media ⋮ Propagation phenomena for nonlocal dispersal equations in exterior domains ⋮ Long time behavior for a periodic Lotka-Volterra reaction-diffusion system with strong competition ⋮ Stochastic travelling wave solution of the \(N\)-species cooperative systems with multiplicative noise ⋮ Dynamics of Time-Periodic Reaction-Diffusion Equations with Front-Like Initial Data on $\mathbb{R}$ ⋮ Periodic curved fronts in reaction-diffusion equations with ignition time-periodic nonlinearity ⋮ Multidimensional transition fronts for Fisher–KPP reactions ⋮ Propagation dynamics of a time periodic diffusion equation with degenerate nonlinearity ⋮ Transition fronts in nonlocal equations with time heterogeneous ignition nonlinearity ⋮ Asymptotic behaviors and stochastic traveling waves in stochastic Fisher-KPP equations ⋮ Regularity and stability of transition fronts in nonlocal equations with time heterogeneous ignition nonlinearity ⋮ Propagation dynamics of a nonlocal dispersal Fisher-KPP equation in a time-periodic shifting habitat ⋮ Stochastic traveling waves of a stochastic Fisher–KPP equation and bifurcations for asymptotic behaviors
Cites Work
- Transition fronts in inhomogeneous Fisher-KPP reaction-diffusion equations
- Transition waves for a class of space-time dependent monostable 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 travelling-wave solutions of a flame propagation model
- Traveling waves in a one-dimensional heterogeneous medium
- A phase plane discussion of convergence to travelling fronts for nonlinear diffusion
- Existence of planar flame fronts in convective-diffusive periodic media
- The approach of solutions of nonlinear diffusion equations to travelling front solutions
- Multidimensional nonlinear diffusion arising in population genetics
- Traveling waves in diffusive random media
- On spreading speeds and traveling waves for growth and migration models in a periodic habitat
- Generalized traveling waves in disordered media: existence, uniqueness, and stability
- Traveling waves in time almost periodic structures governed by bistable nonlinearities. I: Stability and Uniqueness
- Traveling waves in time almost periodic structures governed by bistable nonlinearities. II: Existence
- Existence, uniqueness, and stability of generalized traveling waves in time dependent monostable equations
- Existence and nonexistence of traveling waves and reaction-diffusion front propagation in periodic media
- Generalized fronts for one-dimensional reaction-diffusion equations
- Traveling Wave Solutions to Combustion Models and Their Singular Limits
- The zero set of a solution of a parabolic equation.
- Periodic traveling waves and locating oscillating patterns in multidimensional domains
- Wave-Block in Excitable Media Due to Regions of Depressed Excitability
- Front propagation in periodic excitable media
- On the method of moving planes and the sliding method
- Stability of Generalized Transition Fronts
- Generalized Transition Waves and Their Properties
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Transition fronts in time heterogeneous and random media of ignition type
