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Hyperbolic Phase-Field Dynamics with Memory

✍ Scribed by Maurizio Grasselli; Horacio G. Rotstein

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
173 KB
Volume
261
Category
Article
ISSN
0022-247X

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✦ Synopsis

We consider a non-conserved phase-field system which consists of two nonlinearly coupled hyperbolic integrodifferential equations. This model is derived from two basic assumptions: the heat flux law is of Gurtin-Pipkin type and the response of the order parameter to the variation of the free energy functional is delayed. These hypotheses might be a reasonable attempt to describe, for instance, the melt of He 4 crystals. A suitable initial and boundary value problem is then associated with the system and its well-posedness is analyzed in detail.

πŸ“œ SIMILAR VOLUMES

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