Differentical equations, dynamical systems and optimal control

Rotationally symmetric solutions to isothermal compressible Navier-Stokes equations

P. I. Plotnikov

Voronej State University University square, 1, 394018, Voronej, Russia

Abstract: We consider a boundary value problem for compressible Navier-Stokes equations with the pressure function $p=\varrho$, where $\varrho$ is the density of fluid. It is assumed the given data and a flow domain are invariant with respect to rotations around the vertical axis. The existence of weak rotationally symmetric solutions is proved.

Keywords: viscous gas, concentrations problem, isothermal fluid.

UDC: 517.95, 531

MSC: 35Q74

Received November 2, 2023, published December 6, 2024

Language: English

DOI: 10.33048/semi.2024.21.080