2008/05/31 by Zhenglu Jiang, Jiang, Zhenglu
Engineering · Mathematics · Physics and Astronomy · #35Q75 #76P05 #Computational Fluid Dynamics and Aerodynamics #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Mathematical Physics (math-ph) #Quantum Electrodynamics and Casimir Effect #math-ph #math.MP #msc:35Q75 #msc:76P05
paper · pdf · doi:10.48550/arxiv.0806.0082
arxiv created 2008/05/31 · openalex publication_date 2008/05/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We first give hypotheses of the bicharacteristic equations corresponding to the Enskog equation with an external force. Since the collision operator of the Enskog equation is more complicated than that of the Boltzmann equation, these hypotheses are more complicated than those given by Duan et al. for the Boltzmann equation. The hypotheses are very related to collision of particles of moderately or highly dense gases along the bicharacteristic curves and they can be used to make the estimation of the so-called gain and loss integrals of the Enskog integral equation. Then, by controlling these integrals, we show the existence and uniqueness of the global mild solution to the Enskog equation in an infinite vacuum for moderately or highly dense gases. Finally, we make some remarks on the locally Lipschitz assumption of the collision factors in the Enskog equation.