A mathematical model on the theoretical calculation about temperature zone of a differential heating shaft under radiant condition is set up by analysing the differential equation of conduction and single valued condition; and it's convergence is proved.
通过分析导热过程的微分方程和单值性条件，给出了辐射换热条件下轴类件差温加热时温度场计算模拟的数学模型，并论证了解的收敛性。