摘要
考虑了定义在一个半无穷柱体上二元混合物中的热传导方程,其中在柱体的母线与坐标轴并不平行.运用能量估计的方法,得到了方程的Phragmén-Lindelöf二择性,即能量随距柱体有限端的距离要么无限增加要么无限衰减.在衰减的情形下,为了使结果有意义,建立了全能量的上界.利用全能量的上界,证明了方程的解对系数的连续依赖性.
The heat conduction equation in a binary mixture defined on a semi-infinite cylinder is considered,in which the generatrix of the cylinder is not parallel to the coordinate axis.By using the method of energy estimation,the Phragme-Lindelof alternative of the equations is obtained.In the case of decay,in order to make the results explicit,the upper bound of the total energy is established.By using the upper bound of the total energy,the continuous dependence of the solution to the equation on the coefficient is proved.
作者
李远飞
张旖
LI Yuan-fei;ZHANG Yi(Huashang College Guangdong University of Finance&Economics,Guangzhou 511300,China)
出处
《数学的实践与认识》
北大核心
2020年第24期205-214,共10页
Mathematics in Practice and Theory
基金
广东省普通高校重点项目(自然科学)(2019KZDXM042)。
关键词
热量方程
二择一
能量估计
heat equations
Phragme-Lindelof alternative
energy estimates
