Факультет математики і інформатики
Постійне посилання на розділhttps://ekhnuir.karazin.ua/handle/123456789/43
Переглянути
Документ Instability of equilibrium and appearance of ordered spatial structures on the free surface of ferrofluid(MAGNETOHYDRODYNAMICS, 2013-06-29) Borisov, I.; Potseluiev, S.; Yatsenko, T.The process of ordered spatial structures’ formation on the free surface of a magnetizable fluid in a steady magnetic field is considered. The stability boundary for the equilibrium state of the ferrofluid layer in a cylindrical solenoid with circular and rectangular crosssections is defined in a range of physical parameters. The initial stage of the flat free surface evolution is investigated when stability is lost.Документ Small Oscillations of Magnetizable Ideal Fluid(Journal of Mathematical Physics, Analysis, Geometry, 2009-10-25) Borisov, I.; Yatsenko, T.The small oscillations of a magnetizable ideal fluid in partially filled vessel are considered. Solvability of the initial-boundary problem is proved and the generic properties of the frequencies spectrum of normal free oscillations of fluid are determined. The principle of minimum of the potential energy in the problem on the stability of the fluid equilibrium states is proved.