๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Topological Methods in Hydrodynamics

โœ Scribed by Vladimir I. Arnold, Boris A. Khesin

Book ID
127423521
Publisher
Springer
Year
1998
Tongue
English
Weight
2 MB
Series
Applied Mathematical Sciences
Edition
Corrected
Category
Library
ISBN
0387225897

No coin nor oath required. For personal study only.

โœฆ Synopsis

This book develops the differential geometrical and topological points of view in hydrodynamics. It discusses interactions of hydrodynamics with a wide variety of mathematical domains such as theory of lie groups, differential geometry, topology of knots, magnetic dynamo theory, calculus of variations and hamiltonian mechanics. The exposition contains extensive examples and figures, proofs of the main results, a survey of the recent achievements in (magneto)hydrodynamics and applications to hydrodynamic stability, dynamo theory and weather prediction. Topological methods in Hydrodynamics is the first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view. The contents are accessible to graduate students as well as to both pure and applied mathematicians working in the fields of hydrodynamics, Lie groups, dynamical systems and differential geometry.

๐Ÿ“œ SIMILAR VOLUMES

Topological Methods in Hydrodynamics
Topological Methods in Hydrodynamics
โœ Arnold, V I; Khesin, B A ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Annual Reviews ๐ŸŒ English โš– 730 KB
Topological methods in hydrodynamics
Topological methods in hydrodynamics
โœ Vladimir I. Arnold, Boris A. Khesin ๐Ÿ“‚ Library ๐Ÿ“… 1999 ๐Ÿ› Springer ๐ŸŒ English โš– 3 MB

Topological hydrodynamics is a young branch of mathematics studying topological features of flows with complicated trajectories, as well as their applications to fluid motions. It is situated at the crossroad of hyrdodynamical stability theory, Riemannian and symplectic geometry, magnetohydrodynamic

Topological approximation methods for ev
Topological approximation methods for evolutionary problems of nonlinear hydrodynamics
โœ Zvyagin, Victor G. ๐Ÿ“‚ Library ๐Ÿ“… 2008 ๐Ÿ› Walter de Gruyter ๐ŸŒ English โš– 1 MB

The authors present functional analytical methods for solving a class of partial differential equations. The results have important applications to the numerical treatment of rheology (specific examples are the behaviour of blood or print colours) and to other applications in fluid mechanics.

Topological Approximation Methods for Ev
Topological Approximation Methods for Evolutionary Problems of Nonlinear Hydrodynamics
โœ Zvyagin, Victor G. ๐Ÿ“‚ Library ๐Ÿ“… 2008 ๐Ÿ› Walter de Gruyter ๐ŸŒ English โš– 1 MB

The authors present functional analytical methods for solving a class of partial differential equations. The results have important applications to the numerical treatment of rheology (specific examples are the behaviour of blood or print colours) and to other applications in fluid mechanics.