Remarks on the Acoustic Limit for the Boltzmann Equation
Remarks on the Acoustic Limit for the Boltzmann Equation
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DOI：
10.1080/03605302.2010.496096
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发表时间：
2009-03
影响因子：
1.9
通讯作者：
Ning Jiang;C. Levermore;N. Masmoudi
中科院分区：
文献类型：
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作者：
Ning Jiang;C. Levermore;N. Masmoudi
本文从三个方面改进了文[6]中建立Boltzmann方程DiPerna-Lions解的声学极限的结果。首先，我们将处理的碰撞核的类别扩大到[13]中发现的碰撞核，从而处理DiPerna-Lions理论适用的所有经典碰撞核。其次，我们改进了动力学密度涨落随Knudsen数的标度，从O（ε m）到。第三，我们将结果从周期域推广到具有麦克斯韦反射边界条件的有界域，导出了声学系统的不可渗透边界条件。
We improve in three ways the results of [6] that establish the acoustic limit for DiPerna–Lions solutions of Boltzmann equation. First, we enlarge the class of collision kernels treated to that found in [13], thereby treating all classical collision kernels to which the DiPerna–Lions theory applies. Second, we improve the scaling of the kinetic density fluctuations with Knudsen number from O(ε m ) for some to . Third, we extend the results from periodic domains to bounded domains with a Maxwell reflection boundary condition, deriving the impermeable boundary condition for the acoustic system.