Geodesic
Instability of rotating fluid
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 40, Tome 370 (2009), pp. 160-183

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The paper is concerned with the problem of stability of uniformly rotating viscous incompressible self-gravitating liquid bounded by a rotationally symmetric free surface. It is proved that it is unstable, if the second variation of the energy functional is not positive. Bibl. – 11 titles. 
@article{ZNSL_2009_370_a9,
     author = {V. A. Solonnikov},
     title = {Instability of rotating fluid},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {160--183},
     publisher = {mathdoc},
     volume = {370},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2009_370_a9/}
}
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V. A. Solonnikov. Instability of rotating fluid. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 40, Tome 370 (2009), pp. 160-183. http://geodesic.mathdoc.fr/item/ZNSL_2009_370_a9/