Ladyzhenskaya的粘性不可压缩流的数学模型的分子运动论基础

Kinetic Molecular theory Foundation for Ladyzhenskaya’s Incompressible Viscous Flow Model

１９６８年，Ｌａｄｙｚｈｅｎｓｋａｙａ提出的在大速度梯度情形下适用的关于粘性不可压缩流的数学模型已开始受到人们的重视，基于气体的分子运动理论论述了这个模型的合理性。

n 1968 for viscous incompressible flow O.A. Ladyzhenskaya proposed a modified mathemat-ical model which is appropriate to the case of large velocity gradients. Based on kinetic moleculartheory arguments, in this paper a justification for Ladyzhenskaya’s model is presented and it isproved that the macroscopic equation derived by Chapmann Enskog expansions of Boltzmann E-quation serves as a prototype of Ladyzhenskaya’s model.