Multidimensional stability of V-shaped traveling fronts in bistable reaction-diffusion equations with nonlinear convection
From MaRDI portal
Publication:2131458
DOI10.3934/math.2021020zbMath1484.35264OpenAlexW3092455752MaRDI QIDQ2131458
Publication date: 26 April 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2021020
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Traveling wave solutions (35C07)
Cites Work
- Unnamed Item
- Existence, uniqueness and stability of pyramidal traveling fronts in reaction-diffusion systems
- Traveling curved fronts in monotone bistable systems
- Front-like entire solutions for equations with convection
- On the existence of axisymmetric traveling fronts in Lotka-Volterra competition-diffusion systems in \(\mathbb{R}^3\)
- Existence and global stability of traveling curved fronts in the Allen-Cahn equations
- Front speeds in the vanishing diffusion limit for reaction-diffusion-convection equations.
- Heteroclinic connections for multidimensional bistable reaction-diffusion equations
- Periodic traveling curved fronts in reaction-diffusion equation with bistable time-periodic nonlinearity
- On front speeds in the vanishing diffusion limit for reaction-convection-diffusion equations.
- Front profiles in the vanishing-diffusion limit for monostable reaction-diffusion-convection equations.
- Large time behavior of disturbed planar fronts in the Allen-Cahn equation
- Periodic pyramidal traveling fronts of bistable reaction-diffusion equations with time-periodic nonlinearity
- Nontrivial large-time behaviour in bistable reaction-diffusion equations
- Multi-dimensional traveling fronts in bistable reaction-diffusion equations
- Instability of standing waves for the nonlinear Schrödinger-Poisson equation in the \(L^2\)-critical case
- Asymptotic properties and classification of bistable fronts with Lipschitz level sets
- Stability of a traveling wave in curvature flows for spatially non-decaying initial perturbations
- Global stability of traveling curved fronts in the Allen-Cahn equations
- Bistable transition fronts in \(\mathbb{R}^N\)
- The uniqueness and asymptotic stability of pyramidal traveling fronts in the Allen-Cahn equations
- Travelling waves for reaction-diffusion-convection systems
- Travelling fronts for monostable reaction-diffusion systems with gradient-dependence.
- Elliptic partial differential equations of second order
- Curved fronts in the Belousov-Zhabotinskii reaction-diffusion systems in \(\mathbb{R}^2\)
- Global stability of curved fronts in the Belousov-Zhabotinskii reaction-diffusion system in \(\mathbb{R}^2\)
- On the blow-up solutions for the nonlinear Schrödinger equation with combined power-type nonlinearities
- Travelling waves in nonlinear diffusion-convection reaction
- Strong instability of standing waves for a fourth-order nonlinear Schrödinger equation with the mixed dispersions
- Conical traveling fronts of combustion equations in \(\mathbb{R}^3\)
- Blow-up criteria and instability of normalized standing waves for the fractional Schrödinger-Choquard equation
- Multidimensional stability of disturbed pyramidal traveling fronts in the Allen-Cahn equation
- Multidimensional stability of V-shaped traveling fronts in the Allen-Cahn equation
- Existence and qualitative properties of multidimensional conical bistable fronts
- Nonplanar traveling fronts in reaction-diffusion equations with combustion and degenerate Fisher-KPP nonlinearities
- Cylindrically symmetric travelling fronts in a periodic reaction—diffusion equation with bistable nonlinearity
- Stability of Planar Waves in the Allen–Cahn Equation
- Multidimensional Stability of Traveling Waves in a Bistable Reaction–Diffusion Equation, I
- Multidimensional Stability of Traveling Waves in a Bistable Reaction–Diffusion Equation, II
- Solutions of Semilinear Elliptic Equations in with Conical&Shaped Level Sets
- Existence of Nonplanar Solutions of a Simple Model of Premixed Bunsen Flames
- Stability of travelling waves in a model for conical flames in two space dimensions
- Traveling Fronts of Pyramidal Shapes in the Allen–Cahn Equations
- Multidimensional stability of planar travelling waves
- Analytic semigroups and optimal regularity in parabolic problems
- Stability of travelling-wave solutions for reaction-diffusion-convection systems
- Travelling fronts and entire solutions of the Fisher-KPP equation in \({\mathbb R}^N\)
This page was built for publication: Multidimensional stability of V-shaped traveling fronts in bistable reaction-diffusion equations with nonlinear convection