Titlebook: Operator Approach to Linear Problems of Hydrodynamics; Volume 2: Nonself-ad Nikolay D. Kopachevsky,Selim G. Krein Book 2003 Springer Basel

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https://doi.org/10.1007/978-3-0348-8063-3Hydrodynamics; fluid mechanics; functional analysis; mechanics; operator; fluid- and aerodynamics

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precede

不自然

Motion of Bodies with Cavities Completely Filled with Viscous Incompressible FluidsFirst of all, in this chapter we address problems that originate in investigations of the motion of a viscous incompressible fluid filling completely the cavity of an immovable rigid body. The main operator connected with such problems is the Stokes operator described in Section 2.2.

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Oscillations of Partially Dissipative HydrosystemsIn this chapter we consider the problem on small motions and normal oscillations of a hydrosystem consisting of two fluid layers each one of a different physical nature: The lower layer is a homogeneous, viscous fluid and the upper one is an ideal homogeneous fluid with a free surface.

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978-3-0348-9425-8Springer Basel AG 2003

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亂砍

Book 2003, we widely used the theory of nonself-adjoint operators acting in a Hilbert space and also the theory of operator pencils. In particular, the methods of operator pencil factorization and methods of operator theory in a space with indefinite metric find here a wide application. We note also that thi