热传导模型中热辐射系数反问题的条件稳定性OA北大核心CSTPCD
Conditional stability of inverse problem for the thermal radiation coefficient in heat conduction model
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.
王兵贤;徐梅;张玲萍
淮阴师范学院 数学与统计学院,江苏 淮安 223300
教育学
热传导模型热辐射系数反问题条件稳定性
heat conduction modelthermal radiation coefficientinverse problemconditional stability
《安徽大学学报（自然科学版）》 2024 (003)
11-14 / 4
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)
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