Using some Functional Analysis methods in studying small motions of Hydrodynamicssystem
published by Tishreen University
in 2014
in Mathematics
and research's language is
العربية
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Abstract in English
This Work suggests a study of small motions of system of capillary viscous fluids in rotation vessels ,i.e: to prove the unique solvability theorem of the initial boundary value problem that describe these motions. For that we reduced to Cauchy problem that has the form:
Where is a continuous function with values in the Hilbert space E, A is an operator on E,
By using Functional analysis methods (Orthogonal projector, Operator approach,…)
References used
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OPACHEVSKY,N.D; KREIN,S.G .Operator Approach in Linear Problems of Hydrodynamics Vol. 1: Self-adjoint Problems for Ideal Fluid, Birkh¨auserVerlag, 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¨auserVerlag, Basel—Boston—Berlin, 2003, 444
KOPACHEVSKY,N.D. On Stability and Instability of small motions of Hydrodynamicalsystems,Methods of Functional Analysis and topology,Vol. 13 (2007), no. 2, 152–168
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