On a phase-field system based on the Cattaneo law

DOI10.1016/j.na.2011.11.001zbMath1237.35089OpenAlexW1998961923MaRDI QIDQ412728

Alain Miranville, Ramón Quintanilla

Publication date: 4 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.11.001

zbMATH Keywords

dissipativitywell-posednessglobal attractorspatial behaviorCaginalp systemMaxwell-Cattaneo law

Mathematics Subject Classification ID

Related Items (8)

A reformulation of the Caginalp phase-field system based on the Maxwell-Cattaneo law ⋮ A generalization of the Caginalp phase-field system with Neumann boundary conditions ⋮ Numerical analysis of a Caginalp phase-field system in type III heat conduction ⋮ A splitting method for the Allen-Cahn/Cahn-Hilliard system coupled with heat equation based on Maxwell-Cattaneo law ⋮ Relaxed Euler systems and convergence to Navier-Stokes equations ⋮ Asymptotic behavior of the conserved Caginalp phase-field system based on the Maxwell-Cattaneo law ⋮ Spatial decay for several phase‐field models ⋮ A generalized conserved phase-field system based on type III heat conduction

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