谢苗诺夫系统热爆炸判据的摄动解

PERTURBATION SOLUTION OF CRITICALITY OF THERMAL EXPLOSION IN A SEMENOV SYSTEM AT THE EXTREME OF SMALL DIMENSIONLESS ACTIVATION ENERGY

用摄动方法求解了谢苗诺夫（N．N．Semenov）热爆炸系统的临界解，得到了临界参数关于小参数ε的渐近展开式。本文的结果可以消除谢苗诺夫经典结果中由于采用指数近似处理所带来的误差。

Criticality of thermal explosion in Semenov systems has been studied by means of the perturbation method.The expansion of critical parameters,θ_(cr)andψ_(cr)is realized in terms of the small dimensionless activation energyε.The results show that errors from exponential approximation have been eliminated.