55 citations · 182 across the 40 of their papers we have counts for
4 papers · 1 filter
Bounded weak solutions to the thin film Muskat problem via an infinite family of Liapunov functionals
Philippe Laurençot, Bogdan-Vasile Matioc
A countably infinite family of Liapunov functionals is constructed for the thin film Muskat problem, which is a second-order degenerate parabolic system featuring cross-diffusion.…
The porous medium equation as a singular limit of the thin film Muskat problem
Philippe Laurençot, Bogdan-Vasile Matioc
The singular limit of the thin film Muskat problem is performed when the density (and possibly the viscosity) of the lighter fluid vanishes and the porous medium equation is identi…
Two-phase Stokes flow by capillarity in the plane: The case of different viscosities
Bogdan-Vasile Matioc, Georg Prokert
We study the two-phase Stokes flow driven by surface tension for two fluids of different viscosities, separated by an asymptotically flat interface representable as graph of a diff…
The multiphase Muskat problem with equal viscosities in two dimensions
Jonas Bierler, Bogdan-Vasile Matioc
We study the two-dimensional multiphase Muskat problem describing the motion of three immiscible fluids with equal viscosities in a vertical homogeneous porous medium identified wi…