55 citations · 182 across the 40 of their papers we have counts for
6 papers · 2 filters
Capillarity driven Stokes flow: the one-phase problem as small viscosity limit
Georg Prokert, Bogdan-Vasile Matioc
We consider the quasistationary Stokes flow that describes the motion of a two-dimensional fluid body under the influence of surface tension effects in an unbounded, infinite-botto…
The nonlocal mean curvature flow of periodic graphs
Bogdan-Vasile Matioc, Christoph Walker
We establish the well-posedness of the nonlocal mean curvature flow of order for periodic graphs on in all subcritical little Hölder spaces ${\rm h}^{1…
Weak-strong uniqueness for a class of degenerate parabolic cross-diffusion systems
Philippe Laurençot, Bogdan-Vasile Matioc
Bounded weak solutions to a particular class of degenerate parabolic cross-diffusion systems are shown to coincide with the unique strong solution determined by the same initial co…
A new reformulation of the Muskat problem with surface tension
Anca--Voichita Matioc, Bogdan--Vasile Matioc
Two formulas that connect the derivatives of the double layer potential and of a related singular integral operator evaluated at some density to the -adjoints of t…
The multiphase Muskat problem with general viscosities in two dimensions
Jonas Bierler, Bogdan-Vasile Matioc
In this paper we study the two-dimensional multiphase Muskat problem describing the motion of three immiscible fluids with general viscosities in a vertical homogeneous porous medi…
Bounded Weak Solutions to a Class of Degenerate Cross-Diffusion Systems
Philippe Laurençot, Bogdan-Vasile Matioc
Bounded weak solutions are constructed for a degenerate parabolic system with a full diffusion matrix, which is a generalized version of the thin film Muskat system. Boundedness is…