将T0scani G.和Bobylev AV.等人研究的单一气体中Lyapunov函数沿Boltzmann方程的解变化的性质推广到更一般的情形中,即,一元混合气体中去,得到不等式 F((λ^3/a^3f1(λ/a c1))*(1/b^3f2(1/bc2))〈F(f1(c1)) 这个不等式对于平面流和任意维的轴对称流都是成立的.
The property of Lyapunov functions in time along the solutions of the Boltzmann equation for Maxwellian pseudomolecules was obtained with a method by Toscani and Bobylev. This property will be extended to a more general situation. Namely ,inequality F((λ^3/a^3f1(λ/a c1))*(1/b^3f2(1/bc2))〈F(f1(c1)) will be introduced for binary gases of Maxwellian pseudomolecules. And this inequality is valid for plane velocities and for axially symmetric solution in any dimension.