arXiv Open Access 2021

On the placement of an obstacle so as to optimize the Dirichlet heat content

Liangpan Li

Lihat Sumber

Abstrak

We prove that among all doubly connected domains of R^n (n>=2) bounded by two spheres of given radii, the Dirichlet heat content at any fixed time achieves its minimum when the spheres are concentric. This is shown to be a special case of a more general theorem concerning the optimal placement of a convex obstacle inside some larger domain so as to maximize or minimize the Dirichlet heat content.

Topik & Kata Kunci

math.SP

Penulis (1)

Liangpan Li

Format Sitasi

APA MLA BibTeX

Li, L. (2021). On the placement of an obstacle so as to optimize the Dirichlet heat content. https://arxiv.org/abs/2106.12480

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓