Article
Ufa Mathematical Journal
Volume 4, Number 4, pp. 157-173
Straightening expansions of gas from vortex with linear velocity field
Yulmukhametova Yu.V.
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In this paper we consider a submodel of the gas with a linear velocity field. It is described by a system of nonlinear differential equations with initial data. Several first integrals of the system are obtained. As a result the order of the system is reduced. An approximate solution of differential equations of the submodel is obtained for special initial data of the problem. Such a solution corresponds to world lines describing the radial expansion of the gas particles from the vortex. Trajectories of motion of gas particles are constructed.