Asymptotic analysis for the heat process of a rotary workpiece

Abstract

In this paper the authors prove that as t → + ∞ the temperature distribution of a rotary workpiece tends to a periodic function of t which is constructed by rotating certain stationary temperature distribution with the given angular velocity. The corresponding finite element approximations together with a numerical example are also given.

Keywords:

• Heat Process
• Asymptotic Analysis

AMS:

• 35B40
• 35K05
• 80A20