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020 _a9789819806331
082 _a532.05
_bAl27a
100 _aAlexandrovich, Abrashkin Anatoly
245 _aAnalytical fluid dynamics in lagrangian variables
_cAbrashkin Anatoly Alexandrovich
260 _bWorld Scientific
_c2025
_aSingapore
300 _axiv, 330p
520 _aThe 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.
650 _aAnalytical chemistry
_aFluid dynamics
_aDynamics and fluids
942 _cBK
999 _c567605
_d567605