Pattern Formation in Viscous Flows : The Taylor-Couette Problem and Rayleigh-Bénard Convection / by Rita Meyer-Spasche
(ISNM International Series of Numerical Mathematics ; 128)
| データ種別 | 電子ブック |
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| 出版情報 | Basel : Birkhäuser Basel : Imprint: Birkhäuser , 1999 |
| 本文言語 | 英語 |
| 大きさ | XI, 212 p. 58 illus : online resource |
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| 一般注記 | It seems doubtful whether we can expect to understand fully the instability of fluid flow without obtaining a mathematical representa tion of the motion of a fluid in some particular case in which instability can actually be ob served, so that a detailed comparison can be made between the results of analysis and those of experiment. - G.l. Taylor (1923) Though the equations of fluid dynamics are quite complicated, there are configurations which allow simple flow patterns as stationary solutions (e.g. flows between parallel plates or between rotating cylinders). These flow patterns can be obtained only in certain parameter regimes. For parameter values not in these regimes they cannot be obtained, mainly for two different reasons: • The mathematical existence of the solutions is parameter dependent; or • the solutions exist mathematically, but they are not stable. For finding stable steady states, two steps are required: the steady states have to be found and their stability has to be determined |
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| 著者標目 | *Meyer-Spasche, Rita author SpringerLink (Online service) |
| 件 名 | LCSH:Physics LCSH:Mathematical models LCSH:Continuum physics FREE:Physics FREE:Classical Continuum Physics FREE:Mathematical Modeling and Industrial Mathematics FREE:Physics, general |
| 分 類 | DC23:531 |
| 巻冊次 | ISBN:9783034887090 
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| ISBN | 9783034887090 |
| URL | http://dx.doi.org/10.1007/978-3-0348-8709-0 |
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