Book Cover
E-book
Author Arnolʹd, V. I. (Vladimir Igorevich), 1937-2010.

Title Topological methods in hydrodynamics / Vladimir I. Arnold, Boris A. Khesin
Edition 2nd ed
Published Cham : Springer, 2021

Copies

Description 1 online resource (xx, 455 pages) : illustrations
Series Applied Mathematical Sciences, 0066-5452 ; 125
Applied mathematical sciences (Springer-Verlag New York Inc.) ; 125. 0066-5452
Contents Group and Hamiltonian Structures of Fluid Dynamics -- Topology of Steady Fluid Flows -- Topological Properties of Magnetic and Vorticity Fields -- Differential Geometry of Diffeomorphism Groups -- Kinematic Fast Dynamo Problems -- Dynamical Systems with Hydrodynamical Background
Summary First published in 1998 this unique monograph treats topological, group-theoretic, and geometric problems of ideal hydrodynamics and magneto-hydrodynamics from a unified point of view. It describes the necessary preliminary notions both in hydrodynamics and pure mathematics with numerous examples and figures. This book, now accepted as one of the main references in the field, is accessible to graduates as well as pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical systems, and differential geometry. The updated second edition also contains a survey of recent developments in this now-flourishing field of topological and geometric hydrodynamics.-- Provided by publisher
Subject Hydrodynamics.
Topology.
Mathematics.
Fluid mechanics.
System theory.
Computational intelligence.
Mathematical physics.
Dynamics.
Ergodic theory.
Mathematics
Systems Theory
Topology
Hydrodynamics
Computational intelligence
Dynamics
Ergodic theory
Fluid mechanics
Mathematical physics
Mathematics
System theory
Form Electronic book
Author Khesin, Boris A., author.
ISBN 9783030742782
3030742784
9783030742775
3030742776