Stability of a liquid self-gravitating elliptic cylinder with intrinsic rotation


    2010, Vol. 6, No. 4, pp.  807-822

    Author(s): Borisov A. V., Mamaev I. S., Ivanova T. B.

    We consider figures of equilibrium and stability of a liquid self-gravitating elliptic cylinder. The flow within the cylinder is assumed to be dew to an elliptic perturbation. A bifurcation diagram is plotted and conditions for steady solutions to exist are indicated.
    Keywords: self-gravitating liquid, elliptic cylinder, bifurcation point, stability, Riemann equations
    Citation: Borisov A. V., Mamaev I. S., Ivanova T. B., Stability of a liquid self-gravitating elliptic cylinder with intrinsic rotation, Rus. J. Nonlin. Dyn., 2010, Vol. 6, No. 4, pp.  807-822
    DOI:10.20537/nd1004006


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