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Multidimensional stability of V-shaped traveling fronts in the Allen-Cahn equation - MaRDI portal

Multidimensional stability of V-shaped traveling fronts in the Allen-Cahn equation (Q2441142)

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Language	Label	Description	Also known as
English	Multidimensional stability of V-shaped traveling fronts in the Allen-Cahn equation	scientific article

Statements

scholarly article

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Multidimensional stability of V-shaped traveling fronts in the Allen-Cahn equation (English)

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Science China. Mathematics

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publication date

21 March 2014

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zbMATH Keywords

Allen-Cahn equation

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asymptotic stability

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multidimensional

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V-shaped

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traveling front

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s11425-013-4699-5

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Multidimensional nonlinear diffusion arising in population genetics

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Existence of Nonplanar Solutions of a Simple Model of Premixed Bunsen Flames

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Traveling waves with paraboloid like interfaces for balanced bistable dynamics

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Elliptic Partial Differential Equations of Second Order

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Symmetry of traveling wave solutions to the Allen-Cahn equation in \({\mathbb R^{2}}\)

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The approach of solutions of nonlinear diffusion equations to travelling front solutions

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Solutions of Semilinear Elliptic Equations in with Conical&Shaped Level Sets

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Stability of travelling waves in a model for conical flames in two space dimensions

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Existence and qualitative properties of multidimensional conical bistable fronts

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Asymptotic properties and classification of bistable fronts with Lipschitz level sets

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Travelling fronts and entire solutions of the Fisher-KPP equation in \({\mathbb R}^N\)

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Almost Planar Waves in Anisotropic Media

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Corner defects in almost planar interface propagation

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Stability of travelling fronts of the Fisher-KPP equation in \(\mathbb {R}^{N}\)

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Multidimensional stability of planar travelling waves

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Multi-dimensional pyramidal travelling fronts in the Allen–Cahn equations

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Multidimensional Stability of Traveling Waves in a Bistable Reaction–Diffusion Equation, II

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Entire solutions in reaction-advection-diffusion equations with bistable nonlinearities in heterogeneous media

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Stability of planar waves in mono-stable reaction-diffusion equations

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Stability of planar waves in reaction-diffusion system

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Large time behavior of disturbed planar fronts in the Allen-Cahn equation

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Stability of Planar Waves in the Allen–Cahn Equation

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Stability of a traveling wave in curvature flows for spatially non-decaying initial perturbations

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Convergence to \(V\)-shaped fronts in curvature flows for spatially non-decaying initial perturbations

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Existence and global stability of traveling curved fronts in the Allen-Cahn equations

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Global stability of traveling curved fronts in the Allen-Cahn equations

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Nontrivial large-time behaviour in bistable reaction-diffusion equations

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Periodic pyramidal traveling fronts of bistable reaction-diffusion equations with time-periodic nonlinearity

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Two-dimensional curved fronts in a periodic shear flow

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Traveling Fronts of Pyramidal Shapes in the Allen–Cahn Equations

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The uniqueness and asymptotic stability of pyramidal traveling fronts in the Allen-Cahn equations

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Construction of the Leray-Schauder degree for elliptic operators in unbounded domains

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Periodic traveling curved fronts in reaction-diffusion equation with bistable time-periodic nonlinearity

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Traveling curved fronts in monotone bistable systems

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The existence and stability of traveling waves with transition layers for the S-K-T competition model with cross-diffusion

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Multidimensional Stability of Traveling Waves in a Bistable Reaction–Diffusion Equation, I

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Identifiers

zbMATH Open document ID

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10.1007/s11425-013-4699-5

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2441142

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