Studying the Small Movements of a System of Rotating-Relaxing Fluids


Abstract in English

This work suggests a study of small motions of system of anideal-relaxing fluids which rotate ina limited space. First, we present the problem and reducethe initial boundary value problem that describe it to Cauchy problem for an ordinary differential equation of the second order form in Hilbert space. This allows us to prove the unique solvability theorem.

References used

KOPACHEVSKY,N.D; KREIN,S.G; NGO ZUY CAN. Operators Methods in Linear Hydrodynamics: Evolution and Spectral Problems. Nauka, Moscow, 1989,159-181
KOPACHEVSKY,N.D; KREIN,S.G .Operator Approach in Linear Problems of Hydrodynamics Vol. 1: Self- adjoint Problems for Ideal Fluid, Birkh¨ auser Verlag, Basel—Boston—Berlin, 2001,383
KOPACHEVSKY,N.D; KREIN,S.G. Operator Approach in Linear Problems of Hydrodynamics. Vol. 2: Nonself-adjoint Problems for Viscous Fluids, Birkh¨ auser Verlag, Basel—Boston—Berlin, 2003, 444

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