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Titlebook: Hydrodynamic stability theory; Adelina Georgescu Book 1985Latest edition Springer Science+Business Media Dordrecht 1985 Eigenvalue.banach

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发表于 2025-3-21 18:10:29 | 显示全部楼层 |阅读模式
书目名称Hydrodynamic stability theory
编辑Adelina Georgescu
视频video
丛书名称Mechanics: Analysis
图书封面Titlebook: Hydrodynamic stability theory;  Adelina Georgescu Book 1985Latest edition Springer Science+Business Media Dordrecht 1985 Eigenvalue.banach
描述The great number of varied approaches to hydrodynamic stability theory appear as a bulk of results whose classification and discussion are well-known in the literature. Several books deal with one aspect of this theory alone (e.g. the linear case, the influence of temperature and magnetic field, large classes of globally stable fluid motions etc.). The aim of this book is to provide a complete mathe­ matical treatment of hydrodynamic stability theory by combining the early results of engineers and applied mathematicians with the recent achievements of pure mathematicians. In order to ensure a more operational frame to this theory I have briefly outlined the main results concerning the stability of the simplest types of flow. I have attempted several definitions of the stability of fluid flows with due consideration of the connections between them. On the other hand, as the large number of initial and boundary value problems in hydrodynamic stability theory requires appropriate treat­ ments, most of this book is devoted to the main concepts and methods used in hydrodynamic stability theory. Open problems are expressed in both mathematical and physical terms.
出版日期Book 1985Latest edition
关键词Eigenvalue; banach spaces; calculus of variations; stability; turbulence
版次2
doihttps://doi.org/10.1007/978-94-017-1814-1
isbn_softcover978-90-481-8289-3
isbn_ebook978-94-017-1814-1Series ISSN 0924-2147
issn_series 0924-2147
copyrightSpringer Science+Business Media Dordrecht 1985
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Mechanics: Analysishttp://image.papertrans.cn/h/image/430352.jpg
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Classical Hydrodynamic Stability,Let Ω ⊂ .. be a domain (i.e. an open connected set) in which the flow of an incompressible viscous Newtonian fluid, acted upon by the body force .(., .) takes place.
发表于 2025-3-22 06:43:09 | 显示全部楼层
Branching and Stability of Solutions of the Navier-Stokes Equations, flows become unstable owing to the appearance of new steady or time periodic flows—called secondary flows. This is why branching theory of solutions of the Navier-Stokes equations is closely connected with hydrodynamic stability theory.
发表于 2025-3-22 11:06:34 | 显示全部楼层
Nature of Turbulence, be explained by phenomenological theories based on these equations. All these lines concern only the temporal (and not spatial) irregularities of the solutions and are framed in the dynamical systems theory.
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978-90-481-8289-3Springer Science+Business Media Dordrecht 1985
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Hydrodynamic stability theory978-94-017-1814-1Series ISSN 0924-2147
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Introduction,mption of energy. This theory deserves special mention in the aerodynamics of profiles in supersonic regime, the construction of automation elements by fluid jets and the technique of emulsions. The rapid development of this theory in recent decades has resulted in a huge number of studies that requ
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发表于 2025-3-23 05:31:30 | 显示全部楼层
Branching and Stability of Solutions of the Navier-Stokes Equations, flows become unstable owing to the appearance of new steady or time periodic flows—called secondary flows. This is why branching theory of solutions of the Navier-Stokes equations is closely connected with hydrodynamic stability theory.
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