On the Optimal Shape of a Thin Insulating Layer

IF 2.2 2区 数学 Q1 MATHEMATICS, APPLIED SIAM Journal on Mathematical Analysis Pub Date : 2024-05-14 DOI:10.1137/23m1572544
P. Acampora, E. Cristoforoni, C. Nitsch, C. Trombetti
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引用次数: 0

Abstract

SIAM Journal on Mathematical Analysis, Volume 56, Issue 3, Page 3509-3536, June 2024.
Abstract. We are interested in the thermal insulation of a bounded open set [math] surrounded by a set whose thickness is locally described by [math], where [math] is a nonnegative function defined on the boundary [math]. We study the problem in the limit for [math] going to zero using a first-order asymptotic development by [math]-convergence.
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关于薄绝缘层的最佳形状
SIAM 数学分析期刊》,第 56 卷第 3 期,第 3509-3536 页,2024 年 6 月。 摘要。我们对一个有界开集[math]的隔热问题感兴趣,该开集被一个厚度局部用[math]描述的集合包围,其中[math]是定义在边界[math]上的非负函数。我们利用[math]-收敛的一阶渐近发展来研究[math]为零时的极限问题。
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来源期刊
CiteScore
3.30
自引率
5.00%
发文量
175
审稿时长
12 months
期刊介绍: SIAM Journal on Mathematical Analysis (SIMA) features research articles of the highest quality employing innovative analytical techniques to treat problems in the natural sciences. Every paper has content that is primarily analytical and that employs mathematical methods in such areas as partial differential equations, the calculus of variations, functional analysis, approximation theory, harmonic or wavelet analysis, or dynamical systems. Additionally, every paper relates to a model for natural phenomena in such areas as fluid mechanics, materials science, quantum mechanics, biology, mathematical physics, or to the computational analysis of such phenomena. Submission of a manuscript to a SIAM journal is representation by the author that the manuscript has not been published or submitted simultaneously for publication elsewhere. Typical papers for SIMA do not exceed 35 journal pages. Substantial deviations from this page limit require that the referees, editor, and editor-in-chief be convinced that the increased length is both required by the subject matter and justified by the quality of the paper.
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