吉林大学学报（理学版）2025，Vol.63Issue(6)：1557-1564,8.DOI:10.13413/j.cnki.jdxblxb.2025048
热量方程对基底扰动的连续依赖性
Continuous Dependence of Heat Equation on Substrate Disturbance
摘要
Abstract
By using prior estimates and differential inequality technique,the author discussed the influence of base perturbations on the stability of heat conduction inside a semi infinite cylinder.The author proves that as the disturbance amplitude decreases,the solution converges exponentially to the solution corresponding to a completely flat base.This result has certain theoretical significance for the robustness of heat conduction model and the potential impact of small geometric irregularities on heat transfer prediction.关键词
先验界/扰动参数/结构稳定性/连续依赖性Key words
a priori bound/disturbance parameter/structural stability/continuous dependence分类
数学引用本文复制引用
李远飞..热量方程对基底扰动的连续依赖性[J].吉林大学学报（理学版）,2025,63(6):1557-1564,8.基金项目
广东省基础与应用基础研究基金(批准号:2023A1515012044)和广州华商学院科研启动基金(批准号:2025HSQD26). （批准号:2023A1515012044）
