多维零压气体动力学系统的球对称解
Spherically Symmetric Solutions of Multi-dimensional Zero-pressure Gas Dynamics System
摘要：
本文给出了多维零压气体动力学方程组球对称解的显式表达式及其粘附近似。研究了粘着近似显式解的渐近性态。径向分量的速度和密度满足一个更简单的方程，使我们能够得到明确的公式为不同类型的域和研究其渐近行为。本文还分析了一类以质量为条件而非原点条件的无粘系统的解。
英文摘要：
In this article we find explicit formulae for spherically symmetric solutions of the multidimensional zero-pressure gas dynamics system and its adhesion approximation. The asymptotic behaviour of the explicit solutions of the adhesion approximation has been studied. The radial components of the velocity and density satisfy a simpler equation which enables us to get explicit formulae for different types of domains and study its asymptotic behaviour. A class of solutions for the inviscid system with conditions on the mass instead of conditions at origin has also been analyzed.
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。
