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Hyperbolic Phase-Field Dynamics with Memory

Hyperbolic phase-field dynamics with memory
descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 2001 Italy English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 261, pages 205-230 (issn: 0022-247X, Copyright policy )
Authors: GRASSELLI, MAURIZIO; H. G. ROTSTEIN;

doi: 10.1006/jmaa.2001.7492

handle: 11311/528777

Hyperbolic Phase-Field Dynamics with Memory

Abstract

In this paper, a non-conserved phase-field system is considered. It consists of two coupled hyperbolic integrodifferential equations. This model is based on 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. A suitable initial and boundary value problem is associated with this phase-field system and its well-posedness is investigated.

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Italy
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Keywords

Neumann boundary conditions, Integro-partial differential equations, well-posedness, Applied Mathematics, non-conserved phase-field system, heat flux of Gurtin-Pipkin type, Analysis, Second-order nonlinear hyperbolic equations

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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