Analysis of two-phase shape optimization problems by means of shape derivatives
Analysis of PDEs
2019-04-25 v1
Abstract
This is my Ph.D. Thesis at Tohoku Univeristy (July 2018). It presents the theory on shape derivatives and focuses on its applications to two-phase optimization problems. In particular, we treat the two-phase torsion problem and a two-phase analogous of Serrin's overdetermined problem.
Cite
@article{arxiv.1904.10690,
title = {Analysis of two-phase shape optimization problems by means of shape derivatives},
author = {Lorenzo Cavallina},
journal= {arXiv preprint arXiv:1904.10690},
year = {2019}
}
Comments
81 pages, 8 figures, Ph.D. Thesis