Phase transition problems in materials with memory

DOI10.1216/jiea/1181075724zbMath0781.45009OpenAlexW2075108025MaRDI QIDQ1802688

Pierluigi Colli, Maurizio Grasselli

Publication date: 17 February 1994

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075724

zbMATH Keywords

phase transitionStefan problemmaterials with memoryheat flowsupercoolingsuperheating

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Stefan problems, phase changes, etc. (80A22) Phase transitions (general) in equilibrium statistical mechanics (82B26) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Related Items

Nonsmooth kernels in a phase relaxation problem with memory, SOME RESULTS ON A NEW MODEL OF PHASE RELAXATION, Time-discretization and global solution for a doubly nonlinear Volterra equation, Existence and asymptotic results for a system of integro-partial differential equations, A Stefan/Mullins-Sekerka type problem with memory, Weak solution to some Penrose-Fife phase-field systems with temperature-dependent memory, A convergence result for a Stefan problem with phase relaxation, On thermodynamics of some phase change models, Optimal control problems of phase relaxation models, On integro‐differential inclusions with operator‐valued kernels, Automatic control of the temperature in phase change problems with memory, Well-posedness and time discretization of a nonlinear Volterra integrodifferential equation

Cites Work

• Sulle equazioni differenziali astratte lineari del primo e del secondo ordine negli spazi di Hilbert
• Stefan Problem with Phase Relaxation
• Some results on the multi-phase stefan problem
• A Heat Balance Integral Method for Estimating Practical Solidification Parameters
• On heat conduction in materials with memory
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