三维线性化格拉德方程精确流体动力学的双曲性
Hyperbolicity of exact hydrodynamics for three-dimensional linearized Grad's equations.
作者信息
Colangeli Matteo, Karlin Iliya V, Kröger Martin
机构信息
ETH Zürich, Department of Materials, Polymer Physics, CH-8093 Zürich, Switzerland.
出版信息
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Aug;76(2 Pt 1):022201. doi: 10.1103/PhysRevE.76.022201. Epub 2007 Aug 9.
PMID:17930092
Abstract
We extend to the three-dimensional situation a recent proof of hyperbolicity of the exact (to all orders in Knudsen number) linear hydrodynamics obtained from Grad's moment system [M. Colangeli, I. Karlin, M. Kröger, Phys. Rev. E 75, 051204 (2007)]. Proof of an H theorem is also presented.
摘要
我们将从格拉德矩量系统[M. 科兰杰利、I. 卡林、M. 克罗格，《物理评论E》75，051204(2007)]得到的精确（至克努森数的所有阶）线性流体动力学的双曲性的近期证明扩展到三维情形。还给出了一个H定理的证明。
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