The effective energy in the Allen-Cahn model with deformation

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SYSNO ASEP	0360202
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	The effective energy in the Allen-Cahn model with deformation
Author(s)	Šilhavý, Miroslav (MU-W)_{RID, SAI, ORCID}
Source Title	Interfaces and Free Boundaries. - : EMS Press - ISSN 1463-9963 Roč. 13, č. 2 (2011), s. 255-270
Number of pages	16 s.
Language	eng - English
Country	US - United States
Keywords	phase transitions ; diffuse and sharp phase interface ; interfacial energy
Subject RIV	BA - General Mathematics
CEZ	AV0Z10190503 - MU-W (2005-2011)
UT WOS	000292382800005
EID SCOPUS	79959478898
DOI	10.4171/IFB/257
Annotation	The sharp interface limit of a diffuse interface theory of phase transitions is considered in static situations. The diffuse interface model is of the Allen–Cahn type with deformation, with a parameter measuring the width of the interface. Equilibrium states of a given elongation and a given interface width are considered and the asymptotics for the width tending to zero is determined. It is shown that to within the term of higher order than the width of the interface, the interface energy is proportional to the width where the coefficient is given by a new formula that involves the mechanical contribution to the total energy.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2012

Number of the records: 1