摘要
本文对一类非线性热传导方程带有随时间而周期性变化的端点边界条件的问题,通过适当的函数代换化为线性热传导方程带有可动边界条件的周期解问题。讨论了这类问题解的存在性,唯一性和稳定性。
A Kind of nonlinear heat-transfer equations with time-periodic boundary conditions is studied in this paper. It can be reduced to a linear heat-transfer equation with movable boundary conditions by means of the variable transformation, and we find the time-periodic solution of it. The paper also provides a study of the existence, uniqueness, and stability of the solution.
出处
《北京航空航天大学学报》
EI
CAS
1986年第3期101-107,共7页
Journal of Beijing University of Aeronautics and Astronautics
