Premium
A sharp interface model for phase transitions in crystals with linear elasticity
Author(s) -
Blesgen T.,
Weikard U.
Publication year - 2004
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.549
Subject(s) - elasticity (physics) , mathematics , isothermal process , interface model , linear elasticity , phase transition , elastic energy , minification , nonlinear elasticity , phase (matter) , mathematical analysis , thermodynamics , mathematical optimization , physics , nonlinear system , finite element method , computer science , quantum mechanics , human–computer interaction
A model describing phase transitions coupled with diffusion and linear elasticity in crystals under isothermal conditions is introduced. The elastic deformation as well as the phase parameter are obtained directly by the minimization of the free energy. After stating the model, the existence of strong solutions is proved. Copyright © 2004 John Wiley & Sons, Ltd.