EXISTENCE AND UNIQUENESS OF A GLOBAL-IN-TIME SOLUTION TO A PHASE SEGREGATION PROBLEM OF THE ALLEN–CAHN TYPE

DOI10.1142/S0218202510004325zbMath1263.74038arXiv0902.4741OpenAlexW2003362174MaRDI QIDQ3560030

Pierluigi Colli, Paolo Podio-Guidugli, Gianni Gilardi, Juergen Sprekels

Publication date: 19 May 2010

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.4741

zbMATH Keywords

well-posednesslong-time behaviororder parametermaximal solution

Mathematics Subject Classification ID

Dynamics of phase boundaries in solids (74N20) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (5)

Continuum mechanical modeling of laser-pulsed heating in polycrystals: A multi-physics problem of coupling diffusion, mechanics, and thermal waves ⋮ Global existence and uniqueness for a singular/degenerate Cahn-Hilliard system with viscosity ⋮ Analysis and optimal boundary control of a nonstandard system of phase field equations ⋮ Distributed optimal control of a nonstandard system of phase field equations ⋮ Existence results for diffuse interface models describing phase separation and damage

Cites Work

• Unnamed Item
• Models of phase segregation and diffusion of atomic species on a lattice
• Compact sets in the space \(L^ p(0,T;B)\)
• Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
• Consistent models of Cahn-Hilliard-Gurtin equations with Neumann boundary conditions

This page was built for publication: EXISTENCE AND UNIQUENESS OF A GLOBAL-IN-TIME SOLUTION TO A PHASE SEGREGATION PROBLEM OF THE ALLEN–CAHN TYPE