65 citations · 457 across the 27 of their papers we have counts for
5 papers · 1 filter
Two-component equations modelling water waves with constant vorticity
Joachim Escher, David Henry, Boris Kolev +1
In this paper we derive a two-component system of nonlinear equations which model two-dimensional shallow water waves with constant vorticity. Then we prove well-posedness of this…
Geodesic Completeness for Sobolev -metrics on the Diffeomorphisms Group of the Circle
Joachim Escher, Boris Kolev
We prove that the weak Riemannian metric induced by the fractional Sobolev norm on the diffeomorphisms group of the circle is geodesically complete, provided .
Right-invariant Sobolev metrics of fractional order on the diffeomorphism group of the circle
Joachim Escher, Boris Kolev
In this paper, we study the geodesic flow of a right-invariant metric induced by a general Fourier multiplier on the diffeomorphism group of the circle and on some of its homogeneo…
Steady water waves with multiple critical layers: interior dynamics
Mats Ehrnström, Joachim Escher, Gabriele Villari
We study small-amplitude steady water waves with multiple critical layers. Those are rotational two-dimensional gravity-waves propagating over a perfect fluid of finite depth. It i…
The Degasperis-Procesi equation as a non-metric Euler equation
Joachim Escher, Boris Kolev
In this paper we present a geometric interpretation of the periodic Degasperis-Procesi equation as the geodesic flow of a right invariant symmetric linear connection on the diffeom…