Analytical Fluid Dynamics In Lagrangian Variables

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Anatoly Abrashkin (National Research University Higher School Of Economics, Nizhny Novgorod, Russia)

Analytical Fluid Dynamics In Lagrangian Variables

Anatoly Abrashkin (National Research University Higher School Of Economics, Nizhny Novgorod, Russia)

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English

World Scientific Publishing Co Pte Ltd
04 March 2025

Fluid mechanics; Statistical physics; Mathematical physics

Summary
Details

The monograph focuses on the analytical challenges of describing incompressible fluid flows using Lagrangian variables. The Lagrangian method is presented as a complementary approach to the Eulerian method for studying fluid motion. The fundamental nature of fluid dynamics is linked to tracing the trajectories of individual fluid particles, which is precisely what the Lagrangian method facilitates.

The purpose of this publication is to reflect as fully as possible the achievements of analytical fluid dynamics in Lagrangian variables. A significant part of it consists of original articles by the author. Considerable attention is paid to the subtleties of the Lagrangian description and its popularization among experts in fluid dynamics, students, postgraduates, and anyone interested in problems of fluid mechanics.

The book can be considered, among other things, as a tutorial on Lagrangian fluid dynamics. The book covers issues of the general description of the movement of incompressible fluid, problems of classical hydrodynamics and geophysical hydrodynamics. Fundamental topics include free-boundary motion, vortices in fluids, and water waves. The book includes a number of problems that take into account the stratification and viscosity of fluids, as well as the rotation of the Earth.

By: Anatoly Abrashkin (National Research University Higher School Of Economics Nizhny Novgorod Russia)
Imprint: World Scientific Publishing Co Pte Ltd
Country of Publication: Singapore
ISBN: 9789819806331
ISBN 10: 981980633X
Pages: 344
Publication Date: 04 March 2025
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Active