%A YAN Xiao-li, YUAN Bao-quan* %T Analytical blow-up solutions to the Euler equations %0 Journal Article %D 2011 %J JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) %R %P 104-107 %V 46 %N 12 %U {http://lxbwk.njournal.sdu.edu.cn/CN/abstract/article_1347.shtml} %8 2011-12-20 %X

A family of analytical solutions to the N dimensional isothermal Euler equations and the pressureless Euler equations with frictional damping are constructed by solving a second order ordinary differential equation. Especially, the solutions may blow up at a finite time T.