Continued Gravitational Collapse for Newtonian Stars
Continued Gravitational Collapse for Newtonian Stars
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DOI：
10.1007/s00205-020-01580-w
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发表时间：
2020-10-06
影响因子：
2.5
通讯作者：
Jang, Juhi
中科院分区：
文献类型：
--
作者：
Guo, Yan;Hadzic, Mahir;Jang, Juhi
孤立自引力气态星星的经典模型由具有多方压力定律P（rho）= rho（gamma），gamma > 1的欧拉-泊松系统给出。对于任意1 < gamma < 4/3，我们构造了Euler-Poisson系统的无穷维坍缩解族，该系统的密度在一般空间中是非均匀的，沿沿着一个指定的时空曲面发生引力爆破，在原点有连续的质量吸收.无压Euler-Poisson系统的首阶奇异性由显式崩溃解描述。
The classical model of an isolated selfgravitating gaseous star is given by the Euler-Poisson system with a polytropic pressure law P(rho) = rho(gamma), gamma > 1. For any 1 < gamma < 4/3, we construct an infinite-dimensional family of collapsing solutions to the Euler-Poisson system whose density is in general space inhomogeneous and undergoes gravitational blowup along a prescribed space-time surface, with continuous mass absorption at the origin. The leading order singular behavior is described by an explicit collapsing solution of the pressureless Euler-Poisson system.