Dondl, Patrick and Frenzel, Thomas and Mielke, Alexander
(2019)
*A gradient system with a wiggly energy
and relaxed EDP-convergence.*
ESAIM Control Optimisation and Calculus of Variations, 25
(68).
pp. 1-45.

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Official URL: http://DOI:10.1051/cocv/2018058

## Abstract

If gradient systems depend on a microstructure, we want to derive a macroscopic gradient structure describing the effective behavior of the microscopic system. We introduce a notion of evolutionary Gamma-convergence that relates the microscopic energy and the microscopic dissipation potential with their macroscopic limits via Gammaconvergence. We call this notion relaxed EDP-convergence since the special structure of the dissipation functional may not be preserved under Gamma-convergence. However, by investigating the kinetic relation we derive the macroscopic dissipation potential.

Item Type: | Article |
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Subjects: | Mathematical and Computer Sciences > Mathematics > Applied Mathematics |

Divisions: | Department of Mathematics and Computer Science > Institute of Mathematics |

ID Code: | 2662 |

Deposited By: | Monika Drueck |

Deposited On: | 17 Jan 2022 16:45 |

Last Modified: | 18 Mar 2022 09:57 |

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