Effective Boundary Conditions for the Heat Equation with Interior Inclusion

• 作 者: Huicong Li Xuefeng Wang
• 机 构: SchoolofMathematics,SchoolofScienceandEngineering
• 出 处: 数学研究通讯:英文版
• 发表日期: 2020年3期
• 关键词: Heat equation effective boundary conditions weak solution a priori estimates asy
• 基金项目: NSF of China(No.11701180),Fundamental Research Funds for the Central Universities(No.19lgpy232),supported by NSF of China(Nos.11671190,11731005)

Of concern is the scenario of a heat equation on a domain that contains a thin layer,on which the thermal conductivity is drastically different from that in the bulk.The multi-scales in the spatial variable and the thermal conductivity lead to computation