Global stability of curved fronts in the Belousov-Zhabotinskii reaction-diffusion system in \(\mathbb{R}^2\)
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Publication:1729241
DOI10.1016/j.nonrwa.2018.10.003zbMath1409.35097OpenAlexW2898541832MaRDI QIDQ1729241
Zhen-Hui Bu, Zhi-Cheng Wang, Hong-Tao Niu
Publication date: 27 February 2019
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.10.003
Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Second-order parabolic systems (35K40) Traveling wave solutions (35C07) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)
Related Items (10)
Curved fronts of bistable reaction-diffusion equations with nonlinear convection ⋮ Propagation phenomena in a diffusion system with the Belousov-Zhabotinskii chemical reaction ⋮ Multidimensional stability of V-shaped traveling fronts in bistable reaction-diffusion equations with nonlinear convection ⋮ Traveling curved fronts in the buffered bistable systems in \(\mathbb{R}^2\) ⋮ Nonplanar traveling fronts of the diffusion system with Belousov-Zhabotinskii reaction in \(\mathbb{R}^3\) ⋮ Periodic curved fronts in reaction-diffusion equations with ignition time-periodic nonlinearity ⋮ Traveling waves for a Belousov-Zhabotinsky reaction-diffusion system with nonlocal effect ⋮ Unnamed Item ⋮ Spatiotemporal dynamics for a Belousov–Zhabotinsky reaction–diffusion system with nonlocal effects ⋮ Uniqueness and global stability of V-shaped fronts for the buffered bistable system in \(\mathbb{R}^2\)
Cites Work
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- Existence, uniqueness and stability of pyramidal traveling fronts in reaction-diffusion systems
- Traveling curved fronts in monotone bistable systems
- On the minimal speed of front propagation in a model of the Belousov-Zhabotinsky reaction
- Stability of pyramidal traveling fronts in the degenerate monostable and combustion equations. I
- 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
- Nonlinear stability of traveling wave fronts for nonlocal delayed reaction-diffusion equations
- Stability of travelling fronts of the Fisher-KPP equation in \(\mathbb {R}^{N}\)
- Stability of planar waves in reaction-diffusion system
- Multi-dimensional traveling fronts in bistable reaction-diffusion equations
- Monotone wavefronts for partially degenerate reaction-diffusion systems
- Asymptotic properties and classification of bistable fronts with Lipschitz level sets
- Global stability of traveling curved fronts in the Allen-Cahn equations
- Travelling wavefronts of Belousov-Zhabotinskii system with diffusion and delay
- The uniqueness and asymptotic stability of pyramidal traveling fronts in the Allen-Cahn equations
- The existence of traveling wave front solutions of a model of the Belousov-Zhabotinskii chemical reaction
- The asymptotic behavior of solutions of a system of reaction-diffusion equations which models the Belousov-Zhabotinskii chemical reaction
- Existence of travelling-wave type solutions for the Belousov-Zhabotinskij system of equations. II
- The approach of solutions of nonlinear diffusion equations to travelling front solutions
- Explicit wave front solutions of Noyes-field systems for the Belousov- Zhabotinskij reaction
- Global stability of V-shaped traveling fronts in combustion and degenerate monostable equations
- Curved fronts in the Belousov-Zhabotinskii reaction-diffusion systems in \(\mathbb{R}^2\)
- A numerical study of the Belousov-Zhabotinskii reaction using Galerkin finite element methods
- Traveling waves for a model of the Belousov-Zhabotinsky reaction
- Traveling fronts of pyramidal shapes in competition-diffusion systems
- Non-spiral autowave structures in unrestricted excitable media
- Existence and stability of traveling wave fronts in reaction advection diffusion equations with nonlocal delay
- Corner defects in almost planar interface propagation
- Existence and qualitative properties of multidimensional conical bistable fronts
- Nonplanar traveling fronts in reaction-diffusion equations with combustion and degenerate Fisher-KPP nonlinearities
- Convex compact sets in \(\mathbb{R}^{N - 1}\) give traveling fronts of cooperation-diffusion systems in \(\mathbb{R}^N\)
- Multi-dimensional pyramidal travelling fronts in the Allen–Cahn equations
- The Stability of Traveling Wave Front Solutions of a Reaction-Diffusion System
- Traveling Waves in the Belousov–Zhabotinskii Reaction
- On Computing Travelling Wave Solutions in a Model for the Belousov Zhabotinskii Reaction
- Conical-Shaped Travelling Fronts Allied to the Mathematical Analysis of the Shape of Premixed Bunsen Flames
- 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
- An $(N-1)$-Dimensional Convex Compact Set Gives an $N$-Dimensional Traveling Front in the Allen--Cahn Equation
- A bifurcation approach to non‐planar traveling waves in reaction‐diffusion systems
- Traveling Fronts of Pyramidal Shapes in the Allen–Cahn Equations
- Almost Planar Waves in Anisotropic Media
- Traveling wavefronts for delayed reaction-diffusion systems via a fixed point theorem
- Travelling fronts and entire solutions of the Fisher-KPP equation in \({\mathbb R}^N\)
- Traveling wave fronts of reaction-diffusion systems with delay
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