2014/01/29 by Zhenning Cai, Yuwei Fan, Cai, Zhenning +3 · 1 citation
Mathematics · Physics and Astronomy · #Gas Dynamics and Kinetic Theory #Advanced Thermodynamics and Statistical Mechanics #Advanced Chemical Physics Studies
paper · pdf · doi:10.48550/arxiv.1401.7523
We point out that the thermodynamic equilibrium is not an interior point of the hyperbolicity region of Grad's 13-moment system. With a compact expansion of the phase density, which is compacter than Grad's expansion, we derived a modified 13-moment system. The new 13-moment system admits the thermodynamic equilibrium as an interior point of its hyperbolicity region. We deduce a concise criterion to ensure the hyperbolicity, thus the hyperbolicity region can be quantitatively depicted.