Khesin, Boris A.Overview
Publication Timeline
Most widely held works by
Boris A Khesin
Topological methods in hydrodynamics
by V. I Arnolʹd
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Book
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24 editions published between 1899 and 2009 in English and held by 675 WorldCat member libraries worldwide 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, magnetohydrodynamics, theory of Lie algebras and Lie groups, knot theory, and dynamical systems. Applications of this approach include topological classification of steady fluid flows, descriptions of the Kortewegde Vries equation as a geodesic flow, and results on Riemannian geometry of diffeomorphism groups, explaining, in particular, why longterm dynamical weather forecasts are not reliable. Topological Methods in Hydrodynamics is the first monograph to treat topological, grouptheoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics for a unified point of view. The necessary preliminary notions both in hydrodynamics and pure mathematics are described with plenty of examples and figures. The book is 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
The geometry of infinitedimensional groups
by Boris A Khesin
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16 editions published between 2008 and 2009 in English and held by 529 WorldCat member libraries worldwide This monograph gives an overview of various classes of infinitedimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. While infinitedimensional groups often exhibit very peculiar features, this book describes unifying geometric ideas of the theory and gives numerous illustrations and examples, ranging from the classification of the Virasoro coadjoint orbits to knot theory, from optimal mass transport to moduli spaces of flat connections on surfaces. The text includes many exercises and open questions, an
Symplectic and contact topology : interactions and perspectives
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Book
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3 editions published in 2003 in English and held by 125 WorldCat member libraries worldwide
Geophysical studies in the Caucasus
by Boris E Khesin
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5 editions published between 2010 and 2012 in English and held by 54 WorldCat member libraries worldwide Annotation
Lectures on topological fluid mechanics lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 210, 2001
by Mitchell Anthony Berger
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Book
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4 editions published in 2009 in English and held by 47 WorldCat member libraries worldwide
Collected Works
by V. I Arnolʹd
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3 editions published in 2009 in English and held by 34 WorldCat member libraries worldwide
Lectures on Topological Fluid Mechanics
by De Witt Sumners
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2 editions published in 2009 in English and held by 29 WorldCat member libraries worldwide
Fundamentals of geophysical hydrodynamics
by F. V Dolzhanskiĭ
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Book
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4 editions published between 2012 and 2013 in English and held by 21 WorldCat member libraries worldwide This newly translated addition to the literature provides a comprehensive treatment of the fundamentals of geophysical hydrodynamics as expressed in Dolzhansky's four decades of groundbreaking work at the Moscow Institute of Physics and Technology
Vladimir I. Arnold  Collected Works Hydrodynamics, Bifurcation Theory, Algebraic Geometry, etc. 19651972
by Vladimir I Arnold
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1 edition published in 2013 in English and held by 15 WorldCat member libraries worldwide Vladimir Arnold was one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same time he is one of the most prolific and outstanding mathematical authors. This second volume of his ""Collected Works"" focuses on hydrodynamics, bifurcation theory, and algebraic geometry
Vladimir I. Arnold  Collected Works Representations of Functions, Celestial Mechanics, and KAM Theory 19571965
by Vladimir I Arnold
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4 editions published between 2009 and 2013 in English and held by 14 WorldCat member libraries worldwide Vladimir Arnold is one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same time he is one of the most prolific and outstanding mathematical authors. This first volume of his Collected Works focuses on representations of functions, celestial mechanics, and KAM theory
The Geometry of InfiniteDimensional Groups
by Boris A Khesin
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1 edition published in 2009 in English and held by 13 WorldCat member libraries worldwide
Vladimir I. Arnold  Collected Works Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 19651972
by Vladimir I Arnold
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3 editions published between 2013 and 2014 in English and held by 11 WorldCat member libraries worldwide Vladimir Arnold was one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same time he is one of the most prolific and outstanding mathematical authors. This second volume of his Collected Works focuses on hydrodynamics, bifurcation theory, and algebraic geometry
Topological Methods in Hydrodynamics. Applied Mathematical Sciences, Volume 125
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1 edition published in 1999 in English and held by 3 WorldCat member libraries worldwide 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, magnetohydrodynamics, theory of Lie algebras and Lie groups, knot theory, and dynamical systems. Applications of this approach include topological classification of steady fluid flows, descriptions of the Kortewegde Vries equation as a geodesic flow, and results on Riemannian geometry of diffeomorphism groups, explaining, in particular, why longterm dynamical weather forecasts are not reliable. Topological Methods in Hydrodynamics is the first monograph to treat topological, grouptheoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics for a unified point of view. The necessary preliminary notions both in hydrodynamics and pure mathematics are described with plenty of examples and figures. The book is 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
Polar homology
by Boris A Khesin
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2 editions published in 2000 in English and held by 2 WorldCat member libraries worldwide
Universal DrinfeldSokolov reduction and matrices of complex size
by Boris A Khesin
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Book
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1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
Spaces of pseudoRiemannian geodesics and pseudoEuclidean billiards
by Boris A Khesin
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2 editions published in 2006 in English and held by 2 WorldCat member libraries worldwide
Hydrodynamics, bifurcation theory, and algebraic geometry, 19651972
by V. I Arnolʹd
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1 edition published in 2013 in English and held by 2 WorldCat member libraries worldwide
PoissonLie group of speudodifferential symbols
by Boris A Khesin
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Book
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1 edition published in 1993 in English and held by 1 WorldCat member library worldwide
LiePoisson group of pseudodifferential symbols and fractional KPKdV hierarchies
by Boris A Khesin
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Book
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1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
On cohomology of the Lie algebra of pseudodifferential symbols on the circle
by Boris A Khesin
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Book
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1 edition published in 1994 in English and held by 1 WorldCat member library worldwide more
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Algebra Braid theory Caucasus Celestial mechanics Differentiable dynamical systems Differential equations, Partial Differential topology Environmental sciences Fluid mechanics Geodynamics Geography Geology Geometry, Algebraic Geometry, Differential Geophysics GeophysicsFluid models GeophysicsResearch Hamiltonian systems Hydraulic engineering Hydrodynamics Infinite dimensional Lie algebras Knot theory Lie groups Magnetohydrodynamics Mathematical physics Mathematics Physical geography Physics ProspectingGeophysical methods Singularities (Mathematics) Symplectic and contact topology Symplectic manifolds Thermodynamics Topological groups Topology

Alternative Names
Chesin, Boris A. 1964
Chesin, Boris A. [t]
Khesin, B. A. 1964
Khesin, Boris.
Khesin, Boris 1964
Khesin, Boris A.
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