【摘要】 将Toscani 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((((λ3)/a3)f1((λ/a)c1))*((1/b3)f2((1/b)c2)))<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.更多还原

【Abstract】 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((((λ3)/a3)f1((λ/a)c1))*((1/b3)f2((1/b)c2)))<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.更多还原