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Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances

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Release : 2012-01-29
Genre : Technology & Engineering
Kind : eBook
Book Rating : 084/5 ( reviews)

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Book Synopsis Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances by : Herbert Steinrück

Download or read book Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances written by Herbert Steinrück. This book was released on 2012-01-29. Available in PDF, EPUB and Kindle. Book excerpt: A survey of asymptotic methods in fluid mechanics and applications is given including high Reynolds number flows (interacting boundary layers, marginal separation, turbulence asymptotics) and low Reynolds number flows as an example of hybrid methods, waves as an example of exponential asymptotics and multiple scales methods in meteorology.

A Dynamical Perspective on the ɸ4 Model

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Release : 2019-02-26
Genre : Science
Kind : eBook
Book Rating : 398/5 ( reviews)

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Book Synopsis A Dynamical Perspective on the ɸ4 Model by : Panayotis G. Kevrekidis

Download or read book A Dynamical Perspective on the ɸ4 Model written by Panayotis G. Kevrekidis. This book was released on 2019-02-26. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a careful selection of the most important developments of the \phi^4 model, offering a judicious summary of this model with a view to future prospects and the challenges ahead. Over the past four decades, the \phi^4 model has been the basis for a broad array of developments in the physics and mathematics of nonlinear waves. From kinks to breathers, from continuum media to discrete lattices, from collisions of solitary waves to spectral properties, and from deterministic to stochastic models of \phi^4 (and \phi^6, \phi^8, \phi^12 variants more recently), this dynamical model has served as an excellent test bed for formulating and testing the ideas of nonlinear science and solitary waves.

Asymptotic Analysis and Boundary Layers

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Release : 2007-03-22
Genre : Science
Kind : eBook
Book Rating : 891/5 ( reviews)

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Book Synopsis Asymptotic Analysis and Boundary Layers by : Jean Cousteix

Download or read book Asymptotic Analysis and Boundary Layers written by Jean Cousteix. This book was released on 2007-03-22. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a new method of asymptotic analysis of boundary-layer problems, the Successive Complementary Expansion Method (SCEM). The first part is devoted to a general presentation of the tools of asymptotic analysis. It gives the keys to understand a boundary-layer problem and explains the methods to construct an approximation. The second part is devoted to SCEM and its applications in fluid mechanics, including external and internal flows.

Recent Studies inPerturbation Theory

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Release : 2017-06-14
Genre : Technology & Engineering
Kind : eBook
Book Rating : 61X/5 ( reviews)

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Book Synopsis Recent Studies inPerturbation Theory by : Dimo Uzunov

Download or read book Recent Studies inPerturbation Theory written by Dimo Uzunov. This book was released on 2017-06-14. Available in PDF, EPUB and Kindle. Book excerpt: The book contains seven chapters written by noted experts and young researchers who present their recent studies of both pure mathematical problems of perturbation theories and application of perturbation methods to the study of the important topic in physics, for example, renormalization group theory and applications to basic models in theoretical physics (Y. Takashi), the quantum gravity and its detection and measurement (F. Bulnes), atom-photon interactions (E. G. Thrapsaniotis), treatment of spectra and radiation characteristics by relativistic perturbation theory (A. V. Glushkov et al), and Green's function theory and some applications (Jing Huang). The pure mathematical issues are related to the problem of generalization of the boundary layer function method for bisingularly perturbed differential equations (K. Alymkulov and D. A. Torsunov) and to the development of new homotopy asymptotic methods and some of their applications (Baojian Hong).

Boundary-Layer Theory

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Release : 2016-10-04
Genre : Technology & Engineering
Kind : eBook
Book Rating : 19X/5 ( reviews)

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Book Synopsis Boundary-Layer Theory by : Hermann Schlichting (Deceased)

Download or read book Boundary-Layer Theory written by Hermann Schlichting (Deceased). This book was released on 2016-10-04. Available in PDF, EPUB and Kindle. Book excerpt: This new edition of the near-legendary textbook by Schlichting and revised by Gersten presents a comprehensive overview of boundary-layer theory and its application to all areas of fluid mechanics, with particular emphasis on the flow past bodies (e.g. aircraft aerodynamics). The new edition features an updated reference list and over 100 additional changes throughout the book, reflecting the latest advances on the subject.

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