Special vortex in relativistic hydrodynamics

A. P. Chupakhin, A. A. Yanchenko

Результат исследования: Научные публикации в периодических изданияхстатья

Аннотация

An exact solution of the Euler equations governing the flow of a compressible fluid in relativistic hydrodynamics is found and studied. It is a relativistic analogue of the Ovsyannikov vortex (special vortex) investigated earlier for classical gas dynamics. Solutions are partially invariant of Defect 1 and Rank 2 with respect to the rotation group. A theorem on the representation of the factor-system in the form of a union of a non-invariant subsystem for the function determining the deviation of the velocity vector from the meridian, and invariant subsystem for determination of thermodynamic parameters, the Lorentz factor and the radial velocity component is proved. Compatibility conditions for the overdetermined non-invariant subsystem are obtained. A stationary solution of this type is studied in detail. It is proved that its invariant subsystem reduces to an implicit differential equation. For this equation, the manifold of branching of solutions is investigated, and a set of singular points is found.

Язык оригиналаанглийский
Номер статьи012114
Число страниц7
ЖурналJournal of Physics: Conference Series
Том894
Номер выпуска1
DOI
СостояниеОпубликовано - 22 окт 2017

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