Homogenization of quadratic complementary energies: a duality example

Title:

Homogenization of quadratic complementary energies: a duality example

Creator:

Serrano, Hélia

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:977cf631-fe38-43c0-903c-58b3e1001b34
uuid:977cf631-fe38-43c0-903c-58b3e1001b34
doi:10.21136/MB.2011.141579

Subject:

Γ-convergence, oscillatory behaviour, Young measure, and conjugate functional

Type:

model:article and TEXT

Format:

bez média and svazek

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

165-173

Source:

Mathematica bohemica | 2011 Volume:136 | Number:2

Harvested from:

CDK

Metadata only:

false