Splitting method for the variational phase transition problem in two-phase continuum media

DOI10.1007/S10958-024-07028-WzbMATH Open1542.74052MaRDI QIDQ6564078

V. G. Osmolovskij

Publication date: 28 June 2024

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

zbMATH Keywords

strict convexitysmoothness conditionminimizing sequenceequilibrium energystrain energy functional

Mathematics Subject Classification ID

Dynamics of phase boundaries in solids (74N20) PDEs in connection with mechanics of deformable solids (35Q74) Regularity of solutions of dynamical problems in solid mechanics (74H30) Energy minimization in dynamical problems in solid mechanics (74H80)

Cites Work

• Title not available (Why is that?)
• Boundary value problems with free surfaces in the theory of phase transitions
• Minimizing sequences and equilibrium energy in the variational problem of elasticity in two-phase media
• Phase transition temperatures for variational problem on equilibrium of a two-phase medium with constraints
• Behavior of solutions of one-sided variational problems on phase transitions in continuum mechanics at high temperatures
• Sufficient conditions for absence of two-phase equilibrium states of elastic media with different phase transition temperatures
• Optimal bounds on the effective behavior of a mixture of two well-ordered elastic materials
• Mathematical problems of the theory of phase transitions in continuum mechanics

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