Analytical Fluid Dynamics In Lagrangian Variables
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A01=Anatoly Abrashkin
Author_Anatoly Abrashkin
Category=PHDF
Category=PHS
Category=PHU
Cauchy Invariants
Eddies in the Ocean
Edge Waves
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Exact Solutions
General Gerstner Waves
Gerstner Wave
Gouyon Waves
Lagrangian Variables
Method of Perturbations
Ptolemaic Flows
Rotating Fluid
Stokes Drift
Stokes Wave
Stratification
Viscosity
Vorticity
Water Waves
Product details
- ISBN 9789819806331
- Publication Date: 04 Mar 2025
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
