二维自引力不可压缩流体
Self Gravitating Incompressible Fluid in Two Dimensions
摘要：
本文从分层流体的流体力学方程出发，建立了二维等温自引力旋转不可压缩气体的定态和演化的两个模型。第一个模型是气体的稳定状态，而第二个地址的时间演变的气体受到一些约束。这些模型减少了最初的五个偏微分方程，管理这个系统的两个稳态模型和三个随时间变化的模型。模型方程的解析解和数值解被用来研究所产生的流体的稳定和时间依赖性状态的结构与一些可能的天体物理应用。
英文摘要：
In this paper we develop two models for the steady states and evolution of two dimensional isothermal self gravitating and rotating incompressible gas which are based on the hydrodynamic equations for stratified fluid. The first model is for the steady states of the gas while the second addresses the time evolution of the gas subject to some constraints. These models reduce the initial five partial differential equations that govern this system to two for the steady state model and to three for the time dependent model. Analytical and numerical solutions of the model equations are used to study the structure of the resulting steady and time dependent states of the fluid with some possible astrophysical applications.
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