Calculus of Variations and Geometric Measure Theory

N. Ansini - A. Braides - V. Chiadò Piat

Gradient theory of phase transitions in composite media

created on 22 May 2001
modified on 22 May 2003


Published Paper

Inserted: 22 may 2001
Last Updated: 22 may 2003

Journal: Proc. Royal Soc. Edinburgh A
Volume: 133
Pages: 265-296
Year: 2003


We study the interaction between the gradient theory of phase transitions and homogenization, highlighting multiple scale effects. A general compactness theorem is also given.

Keywords: Homogenization, phase transitions, Gamma convergence, multiple scales