The effective energy in the Allen-Cahn model with deformation

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F11%3A00360202" target="_blank" >RIV/67985840:_____/11:00360202 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.4171/IFB/257" target="_blank" >http://dx.doi.org/10.4171/IFB/257</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4171/IFB/257" target="_blank" >10.4171/IFB/257</a>

Result language

angličtina

Original language name

The effective energy in the Allen-Cahn model with deformation

Original language description

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.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2011

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Interfaces and Free Boundaries

ISSN

1463-9963

e-ISSN

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Volume of the periodical

13

Issue of the periodical within the volume

2

Country of publishing house

US - UNITED STATES

Number of pages

16

Pages from-to

255-270

UT code for WoS article

000292382800005

EID of the result in the Scopus database

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