Expanding gas clouds of ellipsoidal shape: new exact solutions

DOI10.1017/S0022112096008051zbMath0891.76076MaRDI QIDQ4354510

B. Gaffet

Publication date: 17 September 1997

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

Painlevé propertysolution in quadraturesmonatomic gas

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15)

Related Items

Semiclassical expansion of quantum gases into a vacuum, 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, q-Gaussian integrable Hamiltonian reductions in anisentropic gasdynamics, An integrable system related to the spherical top and the Toda chain, Expanding gas clouds of ellipsoidal shape -- the solutions of minimal energy

Cites Work

• Two hidden symmetries of the equations of ideal gasdynamics, and the general solution in a case of non-uniform entropy distribution
• Mechanics of the affine star model
• On generalized vorticity-conservation laws
• Standard covariant formulation for perfect-fluid dynamics