论文标题

自相似的磁性水力动力学

Self-Similar Magnetohydrodynamics

论文作者

Sanyal, Abhik Kumar, Ray, D.

论文摘要

为了解决由于中心质量引起的重力的全套磁水动力学(MHD)方程的解决方案,一般多型型的一种自相似的理论已经提出了通过a的分析方法的一组精确的时间依赖性解决方案,(gamma = 4 \ off off todtrope)(gamma = 4 \ ofer3)polytrope,自(gamma = 4/3)is simplest is prets is simples is preats is simples is preats is simplest and simplests ins simples to the simplests word simples。在目前的论文中,在获得一组完整的自相似解时,我们发现(伽马= 4/3)是唯一具有物理上可靠的多型物,因此,压力与标量函数A无关,并且仅取决于角度和时间。我们还获得了自相似变量的特定时间依赖性形式。

For the solution of the full set of magnetohydrodynamics (MHD) equations in the presence of gravity due to a central point-mass, a self-similar theory for a general polytrope has already suggested a set of exact time-dependent solutions by analytical methods for a, (gamma = 4\over3) polytrope, since (gamma = 4/3) is the simplest to treat. In the present paper while going for a complete set of self-similar solutions, we find that (gamma = 4/3) is the only physically-possible polytrope and that then, pressure is independent of the scalar function A, and depends on angle and time only. We also obtain a specific form of time-dependence for the self-similar variable.

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