首页|Axisymmetric solutions of the Chaplygin gas for initial negative radial velocity
Axisymmetric solutions of the Chaplygin gas for initial negative radial velocity
扫码查看
点击上方二维码区域，可以放大扫码查看
原文链接
NETL
NSTL
万方数据
In this paper, a three-parameter family of self-similar and weak solutions are constructed rigorously in two space dimensions for all positive time to the Euler equations with axisymmetric and radial negative initial velocity for the Chaplygin gas. Under the axisymmetry and self-similar assumptions, the equations are reduced to a system of three ordinary differential equations, from which we obtain structures of solutions besides their existence. The solutions exhibit some phenomena, such as formation and evolution of black hole, expansion and explosive expansion, in the evolution of universe.
Chaplygin gasaxisymmetricconcentration
GUO Li-hui、SHENG Wan-cheng
展开 >
Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China
College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, P. R. China
Natural Science Foundation of ChinaShanghai Leading Academic Discipline Project
NETL
NSTL
万方数据
