Symmetry approach and exact solutions in hydrodynamics. (English) Zbl 1086.76060

Mladenov, Ivaïlo M.(ed.) et al., Proceedings of the 6th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 3–10, 2004. Sofia: Bulgarian Academy of Sciences (ISBN 954-84952-9-5/pbk). 191-202 (2005).
Summary: The application of symmetry analysis to hydrodynamics is illustrated by two examples. The first one is a description of all irrotational barochronous motions of ideal gas. The second is an exact solution of magnetohydrodynamics equations for infinitely conducting media, which describes the flow of the so called “special vortex” type.
For the entire collection see [Zbl 1066.53003].


76M60 Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics
76N15 Gas dynamics (general theory)
76W05 Magnetohydrodynamics and electrohydrodynamics