65 citations · 457 across the 27 of their papers we have counts for
14 papers · 1 filter
The geometry of a vorticity model equation
Joachim Escher, Boris Kolev, Marcus Wunsch
We provide rigorous evidence of the fact that the modified Constantin-Lax-Majda equation modeling vortex and quasi-geostrophic dynamics describes the geodesic flow on the subgroup…
Restrictions on the geometry of the periodic vorticity equation
Joachim Escher, Marcus Wunsch
We prove that several evolution equations arising as mathematical models for fluid motion cannot be realized as metric Euler equations on the Lie group of all smooth and orientatio…
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…
Analysis of a mathematical model describing necrotic tumor growth
Joachim Escher, Anca-Voichita Matioc, Bogdan-Vasile Matioc
In this paper we study a model describing the growth of necrotic tumors in different regimes of vascularisation. The tumor consists of a necrotic core of death cells and a surround…