Existence and uniqueness of solutions for a conserved phase-field type model

DOI10.3934/Math.2016.2.144zbMath1427.35109OpenAlexW2489993000MaRDI QIDQ2335181

Narcisse Batangouna, Armel Judice Ntsokongo

Publication date: 14 November 2019

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2016.2.144

zbMATH Keywords

well-posednessDirichlet boundary conditionsconserved phase-field model

Mathematics Subject Classification ID

Attractors (35B41) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for higher-order parabolic systems (35K52)

Related Items (3)

Global attractor and exponential attractor for a parabolic system of Cahn-Hilliard with a proliferation term ⋮ ON ANISOTROPIC CAGINALP PHASE-FIELD TYPE MODELS WITH SINGULAR NONLINEAR TERMS ⋮ On higher-order anisotropic conservative Caginalp phase-field type models

Cites Work

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• Some mathematical models in phase transition
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• A generalization of the Caginalp phase-field system based on the Cattaneo law
• An analysis of a phase field model of a free boundary
• Infinite-dimensional dynamical systems in mechanics and physics.
• Uniqueness and long-time behavior for the conserved phase-field system with memory
• A type III phase-field system with a logarithmic potential
• A Caginalp phase-field system based on type III heat conduction with two temperatures
• A re-examination of the basic postulates of thermomechanics
• Some generalizations of the Caginalp phase-field system

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