Topological Methods in Hydrodynamics
๐ Library
๐ English
โฆ LIBER โฆ
๐
Topological Methods in Hydrodynamics
โ Scribed by Vladimir I. Arnold, Boris A. Khesin
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Leaves
- 391
- Series
- Applied Mathematical Sciences
- Edition
- Corrected
- Category
- Library
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โฆ 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.
๐ SIMILAR VOLUMES
Topological Methods in Hydrodynamics
โ Vladimir I. Arnold, Boris A. Khesin (auth.)
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1998
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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 Methods in Hydrodynamics
โ Vladimir I. Arnold, Boris A. Khesin
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1998
๐ Springer
๐ English
Topological methods in hydrodynamics
โ Vladimir I. Arnold, Boris A. Khesin
๐ Library
๐
1999
๐ Springer
๐ English
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 Methods in Hydrodynamics
โ Vladimir I. Arnold, Boris A. Khesin
๐ Library
๐
2021
๐ Springer
๐ English
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
Topological Methods in Hydrodynamics (Ap
โ Vladimir I. Arnold
๐ Library
๐
1998
๐ Springer
๐ English
The first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view. It describes the necessary preliminary notions both in hydrodynamics and pure mathematics with numerous examples and figures. The book is ac