一类广义的Tjon-Wu方程

A Generalized Tjon-Wu Equation

本文研究Boltzmann方程的一个动力学模型:Tjon-Wu方程,首先由逐次逼近法得到了Cauchy问题的解当时间t】0时的严格正性,其次利用对偶及嵌入方法证明了在一定条件下方程的稳态解关于x】0是C~∞的.

This paper is devoted to studying a kinetic model of Boltzmann equation:the Tjon-Wu equation.First,we obtain with the method of successive approximations that the solution of the Cauchy problem for the equation is opsitive when time is opsitive.Second,we show by duality and embedding method that the stationtary solution is C~∞when h(x) satifies some additional conditions.