"1"^^ . . "1463-9963" . . . "The effective energy in the Allen-Cahn model with deformation"@en . . . . "\u0160ilhav\u00FD, Miroslav" . . "196572" . "000292382800005" . "[ADCB55C45756]" . "The effective energy in the Allen-Cahn model with deformation" . "10.4171/IFB/257" . "13" . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "RIV/67985840:_____/11:00360202!RIV12-AV0-67985840" . . "The effective energy in the Allen-Cahn model with deformation"@en . . "RIV/67985840:_____/11:00360202" . "Interfaces and Free Boundaries" . . "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\u2013Cahn 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."@en . . "phase transitions; diffuse and sharp phase interface; interfacial energy"@en . "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\u2013Cahn 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." . . . . "Z(AV0Z10190503)" . . . "16"^^ . "2" . "1"^^ . "The effective energy in the Allen-Cahn model with deformation" .