通过不变子空间方法,Chaplygin气体方程被约化为有限维动力系统.它很多有意义的精确解被构造,包括有限时间爆破解,整体解和关于时间的周期解,其中一些解的爆破界面被刻画.
By the invariant subspace method, the Euler equations for Chaplygin gas are reduced to finite-dimensional dynamical systems of first-order ordinary differential equations. Many interesting exact solutions, including finite-time blowup solution, global solution and time-periodic solution, are obtained. The unusual blowup interfaces of some solutions are described.