Young measures and the absence of fine microstructures in a class of phase transitions

DOI10.1017/S095679250000067XzbMath0751.73003MaRDI QIDQ3991975

João Palhoto Matos

Publication date: 28 June 1992

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

potential wellsDirac measuresGalilei invarianceenergy density functioncrystal phase transitions

Mathematics Subject Classification ID

Crystalline structure (74E15)

Related Items (14)

Derivation of a rod theory for multiphase materials ⋮ On the problem of two linearized wells ⋮ Dynamics as a mechanism preventing the formation of finer and fine microstructure ⋮ On quasiconvex hulls in symmetric \(2\times 2\) matrices ⋮ A two-gradient approach for phase transitions in thin films ⋮ Incompatible sets of gradients and metastability ⋮ Restrictions on microstructure ⋮ Rigidity of pairs of quasiregular mappings whose symmetric part of gradient are close ⋮ Analysis of microstructures and phase transition phenomena in one-dimensional, non-linear elasticity by convex optimization ⋮ Simple proof of two-well rigidity ⋮ Two-well rigidity and multidimensional sharp-interface limits for solid-solid phase transitions ⋮ Bending-torsion moments in thin multi-structures in the context of nonlinear elasticity ⋮ On the structure of quasiconvex hulls ⋮ Gradient Young measures generated by sequences in Sobolev spaces

Cites Work

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• Displacive phase transformations in solids
• Fine phase mixtures as minimizers of energy
• Equilibrium configurations of crystals
• Almost-everywhere regularity results for solutions of nonlinear elliptic systems
• On the stability of conformal mappings in multidimensional spaces
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Convergence of solution to nonlinear dispersive equations

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