4 papers
Steady-state fingering patterns for a periodic Muskat problem
Mats Ehrnstrom, Joachim Escher, Bogdan-Vasile Matioc
We study global bifurcation branches consisting of stationary solutions of the Muskat problem. It is proved that the steady-state fingering patterns blow up as the surface tension…
Existence of capillary-gravity water waves with piecewise constant vorticity
Calin Iulian Martin, Bogdan--Vasile Matioc
In this paper we construct periodic capillarity-gravity water waves with a piecewise constant vorticity distribution. They describe water waves traveling on superposed linearly she…
Non-negative global weak solutions for a degenerated parabolic system approximating the two-phase Stokes problem
Joachim Escher, Bogdan-Vasile Matioc
We establish the existence of non-negative global weak solutions for a strongly couple degenerated parabolic system which was obtained as an approximation of the two-phase Stokes p…
Hele-Shaw flow in thin threads: A rigorous limit result
Bogdan-Vasile Matioc, Georg Prokert
We rigorously prove the convergence of appropriately scaled solutions of the 2D Hele-Shaw moving boundary problem with surface tension in the limit of thin threads to the solution…