热传导模型中热辐射系数反问题的条件稳定性  

Conditional stability of inverse problem for the thermal radiation coefficient in heat conduction model

作　　者：王兵贤 徐梅[1] 张玲萍[1] WANG Bingxian;XU Mei;ZHANG Lingping(School of Mathematics and Statistics,Huaiyin Normal University,Huaian223300,China)

机构地区：[1]淮阴师范学院数学与统计学院,江苏淮安223300

出　　处：《安徽大学学报（自然科学版）》2024年第3期11-14,共4页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11501236);江苏省高校自然科学面上项目(18kJD110002);淮阴师范学院博士启动基金项目(31WBX00)。

摘　　要：热传导模型中热辐射系数是表征热传导过程的一个重要指标,它描述热通量在介质中的传播情况.基于末时刻的温度分布,提出热传导模型中热辐射系数反问题,并在弱解意义下,讨论反问题的条件稳定性估计.The thermal radiation coefficient is an important index to describe the heat conduction process in the heat conduction model,which describes the heat flux in the medium.Based on the temperature distribution at the last moment,the inverse problem of the heat-assisted injection coefficient in the heat conduction model was proposed,and the conditional stability estimation of the inverse problem was investigated in the sense of weak solution.

关 键 词：热传导模型 热辐射系数 反问题 条件稳定性 

分 类 号：G482[文化科学—教育学]