Compactness of 𝑀-uniform domains and optimal thermal insulation problems-Reference-Cited by-同舟云学术

Compactness of 𝑀-uniform domains and optimal thermal insulation problems

Published:2021-03-04 Issue:0 Volume:0 Page:
ISSN:1864-8266
Container-title:Advances in Calculus of Variations
language:en
Short-container-title:

Author:

Du Hengrong¹,Li Qinfeng²,Wang Changyou¹

Affiliation:

1. Department of Mathematics , Purdue University , West Lafayette , IN 47907 , USA

2. School of Mathematics , Hunan University , Changsha 410082, Hunan , P. R. China

Abstract

Abstract In this paper, we will consider an optimal shape problem of heat insulation introduced by [D. Bucur, G. Buttazzo and C. Nitsch, Two optimization problems in thermal insulation, Notices Amer. Math. Soc. 64 (2017), 8, 830–835]. We will establish the existence of optimal shapes in the class of 𝑀-uniform domains. We will also show that balls are stable solutions of the optimal heat insulation problem.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/acv-2020-0088/pdf

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