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Bifurcations in Flow Patterns

Name: Bifurcations in Flow Patterns
Brand: Springer
SKU: 9780792314288
Price: 3426 CZK
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Some Applications of the Qualitative Theory of Differential Equations in Fluid Dynamics

Autor: P.G. Bakker

Jazyk:

Vazba: Pevná

Vydavatel: Springer

Dostupnost: Skladem u dodavatele

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The main idea of the present study is to demonstrate that the qualitative theory of diffe rential eq...

Informace o knize

Autor

P.G. Bakker

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

1991

Stránek

211

EAN

9780792314288

ISBN

079231428X

Enbook ID

01393550

Vydavatel

Springer

Hmotnost

1100

Rozměry

155 x 235 x 17

Kompletní popis

The main idea of the present study is to demonstrate that the qualitative theory of diffe rential equations, when applied to problems in fluid-and gasdynamics, will contribute to the understanding of qualitative aspects of fluid flows, in particular those concerned with geometrical properties of flow fields such as shape and stability of its streamline patterns. It is obvious that insight into the qualitative structure of flow fields is of great importance and appears as an ultimate aim of flow research. Qualitative insight fashions our know ledge and serves as a good guide for further quantitative investigations. Moreover, quali tative information can become very useful, especially when it is applied in close corres pondence with numerical methods, in order to interpret and value numerical results. A qualitative analysis may be crucial for the investigation of the flow in the neighbourhood of singularities where a numerical method is not reliable anymore due to discretisation er rors being unacceptable. Up till now, familiar research methods -frequently based on rigorous analyses, careful nu merical procedures and sophisticated experimental techniques -have increased considera bly our qualitative knowledge of flows, albeit that the information is often obtained indirectly by a process of a careful but cumbersome examination of quantitative data. In the past decade, new methods are under development that yield the qualitative infor mation more directly. These methods, make use of the knowledge available in the qualitative theory of differen tial equations and in the theory of bifurcations.

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Bifurcations in Flow Patterns

Some Applications of the Qualitative Theory of Differential Equations in Fluid Dynamics

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