Global dynamics of boundary droplets

DOI10.3934/dcds.2014.34.1zbMath1315.37049OpenAlexW2328763369MaRDI QIDQ379685

Peter W. Bates, Jiayin Jin

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2014.34.1

zbMATH Keywords

global dynamicsinfinite-dimensional dynamical systemsinvariant manifold theorybubble solutionmass-conserving Allen-Cahn equation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Invariant manifold theory for dynamical systems (37D10) Inertial manifolds (35B42) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

Related Items

A conservative Allen-Cahn equation with a space-time dependent Lagrange multiplier ⋮ The sharp interface limit for the stochastic Cahn-Hilliard equation ⋮ Stochastic Cahn-Hilliard equation in higher space dimensions: the motion of bubbles ⋮ Mass-conserving stochastic partial differential equations and backward doubly stochastic differential equations ⋮ Invariant manifolds of interior multi-spike states for the Cahn-Hilliard equation in higher space dimensions ⋮ Metastable dynamics for a hyperbolic variant of the mass conserving Allen-Cahn equation in one space dimension ⋮ Slow motion for the nonlocal Allen-Cahn equation in \(n\) dimensions ⋮ Motion of a Droplet for the Stochastic Mass-Conserving Allen--Cahn Equation ⋮ Fast explicit operator splitting method and time-step adaptivity for fractional non-local Allen-Cahn model ⋮ Numerical approximation of the conservative Allen–Cahn equation by operator splitting method ⋮ Time-fractional Cahn-Hilliard equation: well-posedness, degeneracy, and numerical solutions

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