The behavior of the area of the boundary of phase interface in the problem about phase transitions as the surface tension coefficient tends to zero

DOI10.1007/s10958-012-0682-xzbMath1348.74281OpenAlexW1983425858MaRDI QIDQ1762521

Viktor G. Osmolovskii

Publication date: 27 November 2012

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0682-x

Mathematics Subject Classification ID

Dynamics of phase boundaries in solids (74N20) Variational methods applied to PDEs (35A15) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

Computation of phase transition temperatures for anisotropic model of a two-phase elastic medium ⋮ Mathematical problems of the theory of phase transitions in continuum mechanics ⋮ The role of one-phase states for a two-phase elastic medium ⋮ Temperatures of phase transitions and quasiconvex hull of energy functionals for a two-phase elastic medium with anisotropic residual strain tensor

Cites Work

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• On the phase transition temperature in a variational problem of elasticity theory for two-phase media
• On the set of solutions to a variational phase transition problem of continuum mechanics
• An existence theorem and weak Lagrange equations for a variational problem of the theory of phase transitions
• Phase Transition in the Mechanics of Continuous Media for Big Loading

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