Geodesic
Rotationally symmetric viscous gas flows
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 3, pp. 382-395

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The Dirichlet boundary value problem for the Navier–Stokes equations of a barotropic viscous compressible fluid is considered. The flow region and the data of the problem are assumed to be invariant under rotations about a fixed axis. The existence of rotationally symmetric weak solutions for all adiabatic exponents from the interval $(\gamma^*, \infty)$ with a critical exponent $\gamma^* 4/3$ is proved. 
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     author = {W. Weigant and P. I. Plotnikov},
     title = {Rotationally symmetric viscous gas flows},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {382--395},
     publisher = {mathdoc},
     volume = {57},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_3_a2/}
}
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W. Weigant; P. I. Plotnikov. Rotationally symmetric viscous gas flows. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 3, pp. 382-395. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_3_a2/