Abrashkin A Analytical Fluid Dynamics in Lagrangian Variables 2025
General:
Name: Abrashkin A Analytical Fluid Dynamics in Lagrangian Variables 2025
Format: pdf
Size: 14.05 MB
Book:
Title: Analytical Fluid Dynamics in Lagrangian Variables
Author: Abrashkin Anatoly Alexandrovich
Language: angielski
Year: 2025
Subjects: Science, Nonfiction
Publisher: World Scientific Publishing Company
ISBN: 9789819806331
Total pages: 345
Description:
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.
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