Modelling phase transitions via Young measures

DOI10.3934/DCDSS.2012.5.29zbMath1252.74050OpenAlexW2074059671MaRDI QIDQ428429

Steffen Arnrich

Publication date: 22 June 2012

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2012.5.29

zbMATH Keywords

diffusionYoung measuresimplicit time discretizationinfinite-dimensional Banach spacesnon-linear elasticityphase transition in crystalsQ-Q* formulation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear elasticity (74B20) Methods involving semicontinuity and convergence; relaxation (49J45) Transformations involving diffusion in solids (74N25) Analysis of microstructure in solids (74N15) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

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