1. Homogenization of quadratic complementary energies: a duality example
- Creator:
- Serrano, Hélia
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- Γ-convergence, oscillatory behaviour, Young measure, and conjugate functional
- Language:
- English
- Description:
- We study an example in two dimensions of a sequence of quadratic functionals whose limit energy density, in the sense of Γ-convergence, may be characterized as the dual function of the limit energy density of the sequence of their dual functionals. In this special case, Γ-convergence is indeed stable under the dual operator. If we perturb such quadratic functionals with linear terms this statement is no longer true.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public