耗散气体动力学中的类孤子态和瞬时坍缩
Finite-time collapse and soliton-like states in the dynamics of dissipative gases
摘要：
本文研究了稀薄硬球非弹性碰撞的气体动力学。当忽略扩散过程时，气体密度在有限时间内爆炸。爆破是耗散气体中团簇形成的一种可能机制的数学表达式。研究了扩散过程平滑奇异性的方法。得到了热扩散与非线性冷却平衡时气体动力学的精确定域孤子解。所提出的结果概括了以前的研究结果平面流。
英文摘要：
A study of the gas dynamics of a dilute collection of the inelastically colliding hard spheres is presented. When diffusive processes are neglected the gas density blows up in a finite time. The blowup is the mathematical expression for one of the possible mechanisms for cluster formation in dissipative gases. The way diffusive processes smoothen the singularity has been studied. Exact localized soliton-type solutions of the gas dynamics when heat diffusion balances non-linear cooling are obtained. The presented results generalize previous findings for planar flows.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
