气态星II二维等温Euler-Poisson方程的解析爆破解
Analytical Blowup Solutions to the 2-dimensional Isothermal Euler-Poisson Equations of Gaseous Stars II
摘要：
本文是二维Euler-Poisson方程\cite{Y1}解析解的继续。通过推广$R^{2}$中等温Euler-Poisson方程具有径向对称性的爆破解，利用分离法构造了$R^{2}$中其他具有非径向对称性的特殊爆破解.我们注意到这些结果是该系统的第一个非径向对称的演化解。关键词：解析解，Euler-Poisson方程，等温，爆破，非径向对称，线源或线汇
英文摘要：
This article is the continued version of the analytical blowup solutions for 2-dimensional Euler-Poisson equations \cite{Y1}. With extension of the blowup solutions with radial symmetry for the isothermal Euler-Poisson equations in $R^{2}$, other special blowup solutions in $R^{2}$ with non-radial symmetry are constructed by the separation method. We notice that the results are the first evolutionary solutions with non-radial symmetry for the system. Key words: Analytical Solutions, Euler-Poisson Equations, Isothermal, Blowup, Non-radial Symmetry, Line Source or Sink
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