Hyperbolic phase change problems in heat conduction with memory

DOI10.1017/S0308210500025890zbMath0788.35151OpenAlexW2162573949MaRDI QIDQ4275560

Maurizio Grasselli, Pierluigi Colli

Publication date: 6 June 1994

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500025890

zbMATH Keywords

weak solutionexistenceuniquenessphase transitionsStefan problemsthermal memoryhyperbolic initial-boundary value problem

Mathematics Subject Classification ID

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Cites Work

• The Stefan problem for a hyperbolic heat equation
• Stability of equilibrium for a nonlinear hyperbolic system describing heat propagation by second sound in solids
• Construction of a class of integral models for heat flow in materials with memory
• On the thermodynamics of second sound in dielectric crystals
• An existence result for a hyperbolic phase transition problem with memory
• Sulle equazioni differenziali astratte lineari del primo e del secondo ordine negli spazi di Hilbert
• A general theory of heat conduction with finite wave speeds
• Global Existence and Asymptotic Stability for a Nonlinear Integrodifferential Equation Modeling Heat Flow
• The well-posedness of a hyperbolic Stefan problem
• Stefan Problem with Phase Relaxation
• Thermoelasticity with Second Sound: A Review
• A Hyperbolic Heat Transfer Problem with Phase Changes
• A 3-dimensional hyperbolic Stefan problem with discontinuous temperature
• Some results on the multi-phase stefan problem
• On heat conduction in materials with memory
• A hyperbolic Stefan problem
• A hyperbolic Stefan problem

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