The Free Material Design problem for stationary heat equation on low dimensional structures

Autor:	Lewiński, Tomasz, Rybka, Piotr, Zatorska-Goldstein, Anna
Rok vydání:	2021
Předmět:	Mathematics - Analysis of PDEs Mathematics - Optimization and Control 49J20 49K20 80M50
Druh dokumentu:	Working Paper
DOI:	10.1088/1361-6544/ace303
Popis:	For a given balanced distribution of heat sources and sinks, $Q$, we find an optimal conductivity tensor field, $\hat C$, minimizing the thermal compliance. We present $\hat C$ in a rather explicit form in terms of the datum. Our solution is in a cone of non-negative tensor-valued finite Borel measures. We present a series of examples with explicit solutions.49J20, %Singular parabolic equations secondary: 49K20, 80M50
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2109.14393 Zobrazit plný text záznamu View this record from Arxiv