Analysis of a system related to a model for phase transitions in dissipative isochoric thermoviscoelastic materials

DOI10.1002/mma.4241zbMath1368.76006OpenAlexW2551214853MaRDI QIDQ4977821

José Luiz Boldrini, Welington Vieira Assuncao

Publication date: 17 August 2017

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

Full work available at URL: https://doi.org/10.1002/mma.4241

zbMATH Keywords

phase transitionsuniqueness of solutionsglobal existence of solutionsthermoviscoelastic materialnonlinear PDE systemchanging type PDE systemisochoric material

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Viscoelastic fluids (76A10) Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for mixed-type systems of PDEs (35M33)

Cites Work

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• Global existence of strong solutions to the one-dimensional full model for phase transitions in thermoviscoelastic materials.
• Analysis of a nonlinear degenerating PDE system for phase transitions in thermoviscoelastic materials
• Weak solutions to the Penrose-Fife phase field model for a class of admissible heat flux laws
• Gagliardo-Nirenberg, composition and products in fractional Sobolev spaces
• Asymptotic analysis for vanishing acceleration in a thermoviscoelastic system
• ``Entropic” Solutions to a Thermodynamically Consistent PDE System for Phase Transitions and Damage

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