热传导方程的移动边界问题

The Moving Boundary Problem of Heat-Conduction Equation

中文摘要:

      热传导问题于高温条件下,往往是可移动边界问题.文献[1]尽述了金属丝烧蚀等物理过程所确定的移动边界问题的一种求解方法.本文讨论较一般的热传导方程可移动边界问题Fourier型存在的充分必要条件,且给出问题Fourier型解.

英文摘要:

      The heat-conduction problem is often a movable boundary problem under the high temperature. A minute description of the method used to solve the moving boundary problem which is attached to the phsyical process such as gradual burning of a wire is give in [1]. This paper gives a necessary and sufficient condition under which the movable boundary problem of general heat-conduction eqation has Fourier form solution, and presents the solution of. the problem.