On solvability of boundary value problem of magnetic gas dynamics with cylindric and spherical symmetries

Bakytbek Danebekovich Koshanov, Gulzhazira D. Smatova

2016

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DOI 10.1063/1.4959664
Data confidence 70 medium
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Abstract

In this paper initial-boundary value problems for movement equation of viscous heat-conducting gas considering magnetic field are investigated. Besides, a transition from the main three-dimensional equation to an Eulerian variable and a subsequent Lagrangian coordinate is shown. For equations of the heat-conducting gas in the magnetic field, a unique solvability is proved in a case when a flow domain does not include an axis (point) of symmetry. The movements with cylindric and spherical waves are considered simultaneously.