Spinning gas clouds without vorticity: the two missing integrals

DOI10.1088/0305-4470/34/11/302zbMath1001.76085OpenAlexW2051443033MaRDI QIDQ2716876

B. Gaffet

Publication date: 22 September 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/34/11/302

zbMATH Keywords

rotationPainlevé propertyintegrabilityfirst integralmonatomic gasgas-dynamical equationsOvsyannikov-Dyson ordinary differential reductiontriaxial ellipsoidal gas cloud

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) General theory of rotating fluids (76U05) Galactic and stellar structure (85A15) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (4)

Integrable systems on a sphere, an ellipsoid and a hyperboloid ⋮ Multiparticle systems. The algebra of integrals and integrable cases ⋮ The Hamiltonian dynamics of self-gravitating liquid and gas ellipsoids ⋮ Spinning gas clouds: Liouville integrable cases

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