65 citations · 70 across the 8 of their papers we have counts for
8 papers · 2 filters
The geometry of the two-component Camassa-Holm and Degasperis-Procesi equations
Joachim Escher, Martin Kohlmann, Jonatan Lenells
We use geometric methods to study two natural two-component generalizations of the periodic Camassa-Holm and Degasperis-Procesi equations. We show that these generalizations can be…
Global weak solutions for a degenerate parabolic system modeling the spreading of insoluble surfactant
Joachim Escher, Matthieu Hillairet, Philippe Laurencot +1
We prove global existence of a nonnegative weak solution to a degenerate parabolic system, which models the spreading of insoluble surfactant on a thin liquid film.
A generalised Rayleigh-Taylor condition for the Muskat problem
Joachim Escher, Anca-Voichita Matioc, Bogdan-Vasile Matioc
In this paper we consider the evolution of two fluid phases in a porous medium. The fluids are separated from each other and also the wetting phase from air by interfaces which evo…
Steady water waves with multiple critical layers
Mats Ehrnström, Joachim Escher, Erik Wahlén
We construct small-amplitude periodic water waves with multiple critical layers. In addition to waves with arbitrarily many critical layers and a single crest in each period, two-d…
Geometric aspects of the periodic -Degasperis-Procesi equation
Joachim Escher, Martin Kohlmann, Boris Kolev
We consider the periodic $\muDP$ equation (a modified version of the Degasperis-Procesi equation) as the geodesic flow of a right-invariant affine connection on the Fréche…
Bifurcation analysis for a free boundary problem modeling tumor growth
Joachim Escher, Anca-Voichita Matioc
In this paper we deal with a free boundary problem modeling the growth of nonnecrotic tumors.The tumor is treated as an incompressible fluid, the tissue elasticity is neglected and…