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A Short Presentation of Asymptotic Methods and Modelling

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Abstract

The method of perturbation expansions is a well-established analytical tool that has found applications in many areas of fluid dynamics. The subject is covered in detail in several currently available books, and here we note only four: Van Dyke (1975), Lagerstrom (1988), Zeytounian (1994b), and Kevorkian and Cole (1996). In the recent book by Kevorkian and Cole (1996), the reader can find a comprehensive survey of perturbation methods currently used in various engineering applications, when the problems are governed by partial differential equations. As an example of asymptotic modelling of fluid flows, see the special issue of the Journal of Theoretical and Applied Mechanics (1986b), edited by Guiraud and Zeytounian and also Zeytounian (2001). For asymptotic modelling of atmospheric flows, see Zeytounian (1990).

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© 2002 Springer-Verlag Berlin Heidelberg

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Zeytounian, R.K. (2002). A Short Presentation of Asymptotic Methods and Modelling. In: Theory and Applications of Nonviscous Fluid Flows. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56215-0_4

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  • DOI: https://doi.org/10.1007/978-3-642-56215-0_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62551-0

  • Online ISBN: 978-3-642-56215-0

  • eBook Packages: Springer Book Archive

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