55 citations · 182 across the 40 of their papers we have counts for
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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…
A thin film approximation of the Muskat problem with gravity and capillary forces
Philippe Laurencot, Bogdan-Vasile Matioc
Existence of nonnegative weak solutions is shown for a thin film approximation of the Muskat problem with gravity and capillary forces taken into account. The model describes the s…
On periodic water waves with Coriolis effects and isobaric streamlines
Anca-Voichita Matioc, Bogdan-Vasile Matioc
In this paper we prove that solutions of the f-plane approximation for equatorial geophysical deep water waves, which have the property that the pressure is constant along the stre…