An existence result for a hyperbolic phase transition problem with memory

DOI10.1016/0893-9659(92)90147-2zbMath0752.45010OpenAlexW2005146710MaRDI QIDQ1187942

Pierluigi Colli, Maurizio Grasselli

Publication date: 13 August 1992

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(92)90147-2

zbMATH Keywords

weak solutionvariational inequalityphase transitionhyperbolic equationevolution problemheat conduction in materials with memorysupercoolingsuperheatingGurtin-Pipkin approach

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Stefan problems, phase changes, etc. (80A22)

Related Items (4)

Hyperbolic phase change problems in heat conduction with memory ⋮ Existence and asymptotic results for a system of integro-partial differential equations ⋮ Existence and stability results for the hyperbolic Stefan problem with relaxation ⋮ A Stefan/Mullins-Sekerka type problem with memory

Cites Work

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• The Stefan problem for a hyperbolic heat equation
• Construction of a class of integral models for heat flow in materials with memory
• A general theory of heat conduction with finite wave speeds
• Changing Time History in Moving Boundary Problems
• Stefan Problem with Phase Relaxation
• A Hyperbolic Heat Transfer Problem with Phase Changes
• Some results on the multi-phase stefan problem
• A Heat Balance Integral Method for Estimating Practical Solidification Parameters
• A hyperbolic Stefan problem

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