Search Results - "Khesin, Boris"

The Toda Flow as a Porous Medium Equation by Khesin, Boris, Modin, Klas

“…We describe the geometry of the incompressible porous medium (IPM) equation: we prove that it is a gradient dynamical system on the group of area-preserving…”
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Geometry of generalized fluid flows by Izosimov, Anton, Khesin, Boris

“…The Euler equation of an ideal (i.e. inviscid incompressible) fluid can be regarded, following V. Arnold, as the geodesic flow of the right-invariant L 2…”
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Euler and Navier–Stokes equations on the hyperbolic plane by Khesin, Boris, Misiołek, Gerard

“…We show that nonuniqueness of the Leray–Hopf solutions of the Navier–Stokes equation on the hyperbolic plane ℍ ² observed by Chan and Czubak is a consequence…”
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Special issue in honour of Alexander Shnirelman’s 75th birthday by Jakobson, Dmitry, Khesin, Boris, Polterovich, Iosif

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Geometric hydrodynamics and infinite-dimensional Newton's equations by Khesin, Boris, Misiołek, Gerard, Modin, Klas

“…We revisit the geodesic approach to ideal hydrodynamics and present a related geometric framework for Newton’s equations on groups of diffeomorphisms and…”
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Pseudodifferential symbols on riemann surfaces and Krichever-Novikov algebras by DONIN, Dmitry, KHESIN, Boris

“…We define the Krichever-Novikov-type Lie algebras of differential operators and pseudodifferential symbols on Riemann surfaces, along with their outer…”
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Long‐diagonal pentagram maps by Izosimov, Anton, Khesin, Boris

“…The pentagram map on polygons in the projective plane was introduced by R. Schwartz in 1992 and is by now one of the most popular and classical discrete…”
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The Golden Ratio and Hydrodynamics by Khesin, Boris, Wang, Hanchun

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Characterization of Steady Solutions to the 2D Euler Equation by Izosimov, Anton, Khesin, Boris

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Global, Local and Dense Non-mixing of the 3D Euler Equation by Khesin, Boris, Kuksin, Sergei, Peralta-Salas, Daniel

“…We prove a non-mixing property of the flow of the 3D Euler equation which has a local nature: in any neighbourhood of a “typical” steady solution there is a…”
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Integrability of higher pentagram maps by Khesin, Boris, Soloviev, Fedor

“…We define higher pentagram maps on polygons in for any dimension , which extend R. Schwartz’s definition of the 2D pentagram map. We prove their integrability…”
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Simple Unbalanced Optimal Transport by Khesin, Boris, Modin, Klas, Volk, Luke

“…We introduce and study a simple model capturing the main features of unbalanced optimal transport. It is based on equipping the conical extension of the group…”
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Polar Bear or Penguin? Musings on Earth Cartography and Chebyshev Nets by Khesin, Boris, Tabachnikov, Serge

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Polar linkings, intersections and Weil pairing by Khesin, Boris, Rosly, Alexei

“…-chains are subvarieties of complex dimension…”
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Pseudo-Riemannian geodesics and billiards by Khesin, Boris, Tabachnikov, Serge

“…In pseudo-Riemannian geometry the spaces of space-like and time-like geodesics on a pseudo-Riemannian manifold have natural symplectic structures (just like in…”
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A Basis of Casimirs in 3D Magnetohydrodynamics by Khesin, Boris, Peralta-Salas, Daniel, Yang, Cheng

“…We prove that any regular Casimir in 3D magnetohydrodynamics (MHD) is a function of the magnetic helicity and cross-helicity. In other words, these two…”
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Geometric Hydrodynamics in Open Problems by Khesin, Boris, Misiołek, Gerard, Shnirelman, Alexander

“…Geometric Hydrodynamics has flourished ever since the celebrated 1966 paper of V. Arnold. In this paper we present a collection of open problems along with…”
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Geometric hydrodynamics via Madelung transform by Khesin, Boris, Misiolek, Gerard, Modin, Klas

“…We introduce a geometric framework to study Newton’s equations on infinite-dimensional configuration spaces of diffeomorphisms and smooth probability…”
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Singular Vortex Pairs Follow Magnetic Geodesics by Drivas, Theodore D, Glukhovskiy, Daniil, Khesin, Boris

“…We consider pairs of point vortices having circulations $\Gamma _{1}$ and $\Gamma _{2}$ and confined to a two-dimensional surface $S$. In the limit of zero…”
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Fun Problems in Geometry and Beyond by Khesin, Boris, Tabachnikov, Serge

“…We discuss fun problems, vaguely related to notions and theorems of a course in differential geometry. This paper can be regarded as a weekend ''treasure…”
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