10 citations · 13 across the 4 of their papers we have counts for
4 papers
Generalized Hunter-Saxton equation and the geometry of the group of circle diffeomorphisms
Boris Khesin, Jonatan Lenells, Gerard Misiolek
We study an equation lying `mid-way' between the periodic Hunter-Saxton and Camassa-Holm equations, and which describes evolution of rotators in liquid crystals with external magne…
Shock waves for the Burgers equation and curvatures of diffeomorphism groups
Boris Khesin, Gerard Misiolek
We establish a simple relation between curvatures of the group of volume-preserving diffeomorphisms and the lifespan of potential solutions to the inviscid Burgers equation before…
Asymptotic directions, Monge-Ampere equations and the geometry of diffeomorphism groups
Boris Khesin, Gerard Misiolek
In this note we obtain the characterization for asymptotic directions on various subgroups of the diffeomorphism group. We give a simple proof of non-existence of such directions f…
Euler equations on homogeneous spaces and Virasoro orbits
B. Khesin, G. Misiolek
We show that the following three systems related to various hydrodynamical approximations: the Korteweg--de Vries equation, the Camassa--Holm equation, and the Hunter--Saxton equat…