从气体运动论到连续介质力学
From the Kinetic Theory of Gases to Continuum Mechanics
摘要:
本文综述了基于DiPerna-Lions重整化解理论的Boltzmann方程的流体动力学极限的最新研究结果,重点讨论了速度场表现为象常密度不可压缩流体那样的超前阶的区域。
英文摘要:
Recent results on the fluid dynamic limits of the Boltzmann equation based on the DiPerna-Lions theory of renormalized solutions are reviewed in this paper, with an emphasis on regimes where the velocity field behaves to leading order like that of an incompressible fluid with constant density.
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