论文标题
用规定的热源的热绝缘的自由边界问题
A free boundary problem in thermal insulation with a prescribed heat source
论文作者
论文摘要
我们通过大量的绝缘材料层研究了有界身体$ω\ subset \ mathbb {r}^n $的热绝缘。我们考虑了绝缘体与对流确定的环境之间的传热模型；这对应于层自由边界上的罗宾边界条件。我们表明存在最小的构型，并且满足均匀密度估计值。
We study the thermal insulation of a bounded body $Ω\subset\mathbb{R}^n$, under a prescribed heat source $f>0$, via a bulk layer of insulating material. We consider a model of heat transfer between the insulated body and the environment determined by convection; this corresponds to Robin boundary conditions on the free boundary of the layer. We show that a minimal configuration exists and that it satisfies uniform density estimates.
