具有两个m-凸绝缘体和超导体内含物的电导问题的梯度估计  

Gradient Estimate for the Conductivity Problem with Two m-Convex Insulator and Perfect Conductor Inclusions

作　　者：包圆 马飞遥[1] BAO Yuan;MA Feiyao(School of Mathematics and Statistics,Ningbo University,Ningbo 315211,China)

机构地区：[1]宁波大学数学与统计学院,浙江宁波315211

出　　处：《应用数学》2024年第2期540-546,共7页Mathematica Applicata

基　　金：国家自然科学基金(11971251);浙江省自然科学基金(LY20A010010)。

摘　　要：本文研究复合材料中的一个内含物的电导率为超导,另一个内含物的电导率为绝缘情况下的电导率问题的梯度估计.本文将内含物的形状从2-凸推广到更一般的情形,得到了当内含物的形状为m-凸(m≥2)时解的梯度的上界.We consider the conductivity problem involving two distinct inclusions,where one has perfect conductivity and is located in close proximity to the other,which is insulated and separated by a distance ofε.In this paper,we generalize the shape of the inclusions from the 2-convex to the more general case,obtaining an upper bound on the gradient of the solution when the shape of the inclusions is m-convex(m≥2).

关 键 词：电导率问题 梯度估计 超导 绝缘 m-凸 

分 类 号：O175.2[理学—数学]