65 citations · 457 across the 27 of their papers we have counts for
4 papers · 2 filters
Strong solutions of semilinear matched microstructure models
Joachim Escher, Daniela Treutler
The subject of this article is a matched microstructure model for Newtonian fluid flows in fractured porous media. This is a homogenized model which takes the form of two coupled p…
Two-Phase Flow in Rotating Hele-Shaw Cells with Coriolis Effects
Joachim Escher, Patrick Guidotti, Christoph Walker
The free boundary problem of a two phase flow in a rotating Hele-Shaw cell with Coriolis effects is studied. Existence and uniqueness of solutions near spheres is established, and…
Weak solutions to a thin film model with capillary effects and insoluble surfactant
Joachim Escher, Matthieu Hillairet, Philippe Laurencot +1
The paper focuses on a model describing the spreading of an insoluble surfactant on a thin viscous film with capillary effects taken into account. The governing equation for the fi…
Existence and stability of weak solutions for a degenerate parabolic system modelling two-phase flows in porous media
Joachim Escher, Philippe Laurencot, Bogdan-Vasile Matioc
We prove global existence of nonnegative weak solutions to a degenerate parabolic system which models the interaction of two thin fluid films in a porous medium. Furthermore, we sh…