| 书目名称 | Operator Approach to Linear Problems of Hydrodynamics | | 副标题 | Volume 2: Nonself-ad | | 编辑 | Nikolay D. Kopachevsky,Selim G. Krein | | 视频video | | | 概述 | Unique collection of problems in hydrodynamics of viscous fluids.Translated from the Russian original by Larisa and Mircea Martin | | 丛书名称 | Operator Theory: Advances and Applications | | 图书封面 |  | | 描述 | As mentioned in the Introduction to Volume I, the present monograph is intended both for mathematicians interested in applications of the theory of linear operators and operator-functions to problems of hydrodynamics, and for researchers of applied hydrodynamic problems, who want to study these problems by means of the most recent achievements in operator theory. The second volume considers nonself-adjoint problems describing motions and normal oscillations of a homogeneous viscous incompressible fluid. These ini tial boundary value problems of mathematical physics include, as a rule, derivatives in time of the unknown functions not only in the equation, but in the boundary conditions, too. Therefore, the spectral problems corresponding to such boundary value problems include the spectral parameter in the equation and in the bound ary conditions, and are nonself-adjoint. In their study, 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 | | 出版日期 | Book 2003 | | 关键词 | Hydrodynamics; fluid mechanics; functional analysis; mechanics; operator; fluid- and aerodynamics | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-8063-3 | | isbn_softcover | 978-3-0348-9425-8 | | isbn_ebook | 978-3-0348-8063-3Series ISSN 0255-0156 Series E-ISSN 2296-4878 | | issn_series | 0255-0156 | | copyright | Springer Basel AG 2003 |
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发表于 2025-3-21 19:46:50
