Young Measures on micro-patterns: an application to the multiscale variational problems for a class of functionals of Ginzburg-Landau type in one dimension
Andrija Raguž · 2004
The notion of the Young Measure on micro-patterns was introduced by G.Alberti and S.Muller in 2001. to study variational problems whose minimizing sequences develop oscillations on several small scales. The aim of this talk is to present recent results in analysis of a class of functionals of Ginzburg-Landau type in one dimension with oscillatory lower-order term. We describe fine properties of the minimizers and compute the precise value of rescaled minimal macroscopic energy in the limit as small parameter \epsilon tends to zero.