热理想气体的BGK和Fokker Planck模型
BGK and Fokker Planck Models for thermally perfect gases
摘要:
我们提出了两个模型的玻尔兹曼方程(BGK和福克-普朗克模型)的稀薄流动的热完美气体。这些模型考虑到了各种能量模型,这些模型是高温气流所需的,比如重返大气层问题。我们证明了这些模型满足守恒和熵的性质(H定理),我们得到了相应的可压缩Navier-Stokes渐近。
英文摘要:
We propose two models of the Boltzmann equation (BGK and Fokker-Planck models) for rarefied flows of thermally perfect gases. These models take into account various models of energy, which are required for high temperature flows, like for atmospheric re-entry problems. We prove that these models satisfy conservation and entropy properties (H-theorem), and we derive their corresponding compressible Navier-Stokes asymptotics.
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