论文标题
稳定性和时间依赖性的邦迪 - 公园流量
Stability and Solution of the Time-Dependent Bondi-Parker Flow
论文作者
论文摘要
Bondi（1952）和Parker（1958}衍生了一个稳态的解决方案，用于分别在两个情况下，分别在点质量周围的球形对称性方程式，分别是向内积聚流动和向外的风。剩下的稳定解决方案是稳定的解决方案，无论是稳定的范围，无论是稳定的范围，无论是稳定的范围，还是稳定的范围均可稳定范围。在哈密顿的描述中，我们发现稳态解决方案等于拉格朗日，这意味着时间依赖性流动到稳态，我们发现第二个变化是在等温流和绝热流的标志上，暗示着我们求解了一定的差异方程。条件。
Bondi (1952) and Parker (1958} derived a steady-state solution for Bernouilli's equation in spherical symmetry around a point mass for two cases, respectively, an inward accretion flow and an outward wind. Left unanswered were the stability of the steady-state solution, the solution itself of time-dependent flows, whether the time-dependent flows would evolve to the steady-state, and under what conditions a transonic flow would develop. In a Hamiltonian description, we find that the steady state solution is equivalent to the Lagrangian implying that time-dependent flows evolve to the steady state. We find that the second variation is definite in sign for isothermal and adiabatic flows, implying at least linear stability. We solve the partial differential equation for the time-dependent flow as an initial-value problem and find that a transonic flow develops under a wide range of realistic initial conditions. We present some examples of time-dependent solutions.
