STABILITY OF PLANAR FRONTS FOR A NON-LOCAL PHASE KINETICS EQUATION WITH A CONSERVATION LAW IN D ≤ 3

DOI10.1142/S0129055X12500092zbMath1252.35060arXiv1107.5189OpenAlexW3102578808MaRDI QIDQ2894043

Eric Anders Carlen, Enza Orlandi

Publication date: 27 June 2012

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.5189

zbMATH Keywords

nonlinear stabilitylocal magnetizationGates-Penrose-Lebowitz free energynonlocal and nonlinear evolution equationsub-critical temperaturestwo local spatially homogeneous equilibria

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods applied to PDEs (35A15) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic systems (35K45)

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Spectral properties of integral operators in bounded, large intervals ⋮ Relaxation to a planar interface in the Mullins-Sekerka problem ⋮ A gradient flow approach to relaxation rates for the multi-dimensional Cahn-Hilliard Equation

Cites Work

• Tunneling in two dimensions
• Scaling limits in statistical mechanics and microstructures in continuum mechanics
• Phase segregation dynamics in particle systems with long range interactions. I: Macroscopic limits
• Algebraic rate of decay for the excess free energy and stability of fronts for a nonlocal phase kinetics equation with a conservation law. I
• A nonlocal anisotropic model for phase transitions
• Travelling fronts in non-local evolution equations
• Elliptic Partial Differential Equations of Second Order
• Stability of the interface in a model of phase separation
• Algebraic Rate of Decay for The Excess Free Energy And Stability of Fronts for A Nonlocal Phase Kinetics Equation with A Conservation Law,Ii
• Anomalous scaling for three‐dimensional Cahn‐Hilliard fronts
• A simple proof of stability of fronts for the Cahn-Hilliard equation

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