带阻尼项Euler-Poisson方程的一类解析解

A Class of Explicit Solutions for the Damped Euler-Poisson System

摘要: 本文对带阻尼项封闭型Euler-Poisson方程展开了研究，给出了一类具体的解析解，这类具体解包括了爆破解和整体解。同时利用MATLAB数学软件，文中对相应结果给出了数值验证，并与理论分析结果完全吻合。

Abstract: We study the damped Euler-Poisson system with a negative cosmological constant in this paper. Some explicit solutions, including both blow-up solutions and global solutions, are explored. Meanwhile, we examine our results numerically with the help of the MATLAB software, and find that the numeric results are coincide with the theoretic results.