Two-well rigidity and multidimensional sharp-interface limits for solid-solid phase transitions

DOI10.1007/s00526-020-1699-5zbMath1432.74182arXiv1810.06298OpenAlexW3004878897MaRDI QIDQ2296683

Manuel Friedrich, Elisa Davoli

Publication date: 18 February 2020

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.06298

zbMATH Keywords

geodesic distanceEuclidean distanceHadamard compatibility conditionsharp-interface modelquantitative rigidity estimatestwo-well rigidity estimate

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Analysis of microstructure in solids (74N15) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

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