Existence of Transonic Solutions in the Stellar Wind Problem with Viscosity and Heat Conduction

Existence of Transonic Solutions in the Stellar Wind Problem with Viscosity and Heat Conduction
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具有粘性和热传导的恒星风问题跨音速解的存在性

DOI:
10.1137/20m1314240
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发表时间:
2021
影响因子:
2.1
通讯作者:
Carter, Paul
Carter, Paul
中科院分区:
数学3区
文献类型:
--
作者:
Bauer, Adam;Carter, Paul

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考虑了稳定径向外流的单流体恒星风问题,包括热传导和粘性的影响。相关的无量纲方程的质量,动量和能量守恒奇异摄动在大雷诺数限制,恒星风廓线严格构造在这个政权使用几何奇异摄动技术。跨音速的解决方案,从亚音速加速到超音速,被确定为折叠的鞍鸭式轨迹躺在一个亚音速鞍慢流形和超音速排斥慢流形的交叉点,返回到亚音速通过粘性层激波,其位置是由相关的远场边界条件。
The one-fluid stellar wind problem for steady, radial outflow is considered, including effects of heat conduction and viscosity. The associated nondimensionalized equations of conservation of mass, momentum, and energy are singularly perturbed in the large Reynolds number limit, and stellar wind profiles are constructed rigorously in this regime using geometric singular perturbation techniques. Transonic solutions, which accelerate from subsonic to supersonic speeds, are identified as folded saddle canard trajectories lying in the intersection of a subsonic saddle slow manifold and a supersonic repelling slow manifold, returning to subsonic speeds through a viscous layer shock, the location of which is determined by the associated far-field boundary conditions.
小普朗特数下单流体太阳风的连续介质理论
DOI: --
发表时间: 1976
期刊: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
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