Periodic motions for multi-wells potentials and layers dynamic for the vector Allen-Cahn equation (Q2097624)

scientific article; zbMATH DE number 7616299

Language	Label	Description	Also known as
English	Periodic motions for multi-wells potentials and layers dynamic for the vector Allen-Cahn equation	scientific article; zbMATH DE number 7616299

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instance of

scholarly article

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title

Periodic motions for multi-wells potentials and layers dynamic for the vector Allen-Cahn equation (English)

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published in

Journal of Dynamics and Differential Equations

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publication date

14 November 2022

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full work available at URL

https://arxiv.org/abs/2010.05628

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zbMATH Keywords

periodic motion

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layers dynamics

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singular perturbations

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Brake orbits type solutions to some class of semilinear elliptic equations

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Prescribed energy connecting orbits for gradient systems

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Slow motion for the Cahn-Hilliard equation in one space dimension

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Explicit stationary solutions in multiple well dynamics and non-uniqueness of interfacial energy densities

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Slow motion in the gradient theory of phase transitions via energy and spectrum

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On the connection problem for potentials with several global minima

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Slow dynamics for the Cahn-Hilliard equation in higher space dimensions: The motion of bubbles

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Finite dimensional dynamics and interfaces intersecting the boundary: Equilibria and the quasi-invariant manifold

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On minimizers of the Hamiltonian system $u\'\'=\\nabla W(u)$ and on the existence of heteroclinic, homoclinic and periodic orbits

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Metastable patterns for the Cahn-Hilliard equation. I

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Gradient Dynamics: Motion Near a Manifold of Quasi-Equilibria

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Metastable patterns for the Cahn-Hilliard equation. II: Layer dynamics and slow invariant manifold

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Γ-type estimates for the one-dimensional Allen–Cahn’s action

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Slow motion for gradient systems with equal depth multiple-well potentials

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Slow motion for equal depth multiple-well gradient systems: the degenerate case

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On the slowness of phase boundary motion in one space dimension

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On the slow dynamics for the Cahn–Hilliard equation in one space dimension

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The parameterization method for invariant manifolds I: Manifolds associated to non-resonant subspaces

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Q4785284

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Metastable patterns in solutions of ut = ϵ2uxx − f(u)

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Invariant manifolds for metastable patterns in ut = ε2uxx—f(u)

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Slow Dynamics of Interfaces in the Allen--Cahn Equation on a Strip-like Domain

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Invariant manifolds associated to nonresonant spectral subspaces

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Slow dynamics for the hyperbolic Cahn‐Hilliard equation in one‐space dimension

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Q3202548

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Existence of periodic orbits near heteroclinic connections

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Slow-motion manifolds, dormant instability, and singular perturbations

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Slow Motion in One-Dimensional Cahn–Morral Systems

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Metastability for nonlinear parabolic equations with application to scalar viscous conservation laws

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Dynamics of nonnegative solutions of one-dimensional reaction–diffusion equations with localized initial data. Part I: A general quasiconvergence theorem and its consequences

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Dynamics of nonnegative solutions of one-dimensional reaction-diffusion equations with localized initial data. Part II: Generic nonlinearities

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Metric methods for heteroclinic connections

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Slow motion for the nonlocal Allen-Cahn equation in $n$ dimensions

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Slow motion of gradient flows

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Homoclinic and heteroclinic orbits for a class of Hamiltonian systems

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Connecting orbits in Hilbert spaces and applications to P.D.E

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The heteroclinic connection problem for general double-well potentials

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Metastable Patterns, Layer Collapses, and Coarsening for a One‐Dimensional Ginzburg‐Landau Equation

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Q4550187

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On the heteroclinic connection problem for multi-well gradient systems

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Identifiers

Mathematics Subject Classification ID

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10.1007/S10884-021-09949-5

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Sitelinks

Mathematics(1 entry)

mardi Publication:2097624