ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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Research of propagation of the waves on a surface of a cylindrical column of magnetic fluid surrounding a porous core.

E. N. Egereva1, O. A. Runova2, A. A. Kormilicin3

AnnotationA mathematical model of wave propagation and instability on a surface of an infinite cylindrical configuration of magnetic fluid, surrounding a coaxial infinite cylindrical porous core, is constructed and studied. The conditions are found under which the disturbances of the liquid column become unstable and result in its fragmentation into a chain of connected droplets.
Keywordswaves, magnetic fluid, cylindrical configuration of fluid, magnetic field, long porous core

1Associate professor of the Department of Mathematics and Theoretical mechanics, Mordovian State University after N.P. Ogarev, Saransk; egerevaen@mail.ru

2Postgraduate student, Mordovian State Pedagogical Institute named after M.E. Evsevyev, Saransk; runova.olga@list.ru

3Student, Mordovian State Pedagogical Institute named after M.E. Evsevyev, Saransk

Citation: E. N. Egereva, O. A. Runova, A. A. Kormilicin, "[Research of propagation of the waves on a surface of a cylindrical column of magnetic fluid surrounding a porous core.]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,15:4 (2013) 101–110 (In Russian)