55 citations · 182 across the 40 of their papers we have counts for
4 papers · 1 filter
Finite speed of propagation and waiting time for a thin film Muskat problem
Philippe Laurençot, Bogdan-Vasile Matioc
Finite speed of propagation is established for non-negative weak solutions to a thin film approximation of the two-phase Muskat problem. The temporal expansion rate of the support…
The domain of parabolicity for the Muskat problem
Joachim Escher, Bogdan-Vasile Matioc, Christoph Walker
We address the well-posedness of the Muskat problem in a periodic geometry and in a setting which allows us to consider general initial and boundary data, gravity effects, as well…
Recovery of Stokes waves from velocity measurements on an axis of symmetry
Bogdan-Vasile Matioc
We provide a new method to recover the profile of Stokes waves, and more generally of waves with smooth vorticity, from measurements of the horizontal velocity component on a verti…
Gravity water flows with discontinuous vorticity and stagnation points
Calin Iulian Martin, Bogdan-Vasile Matioc
We construct small-amplitude steady periodic gravity water waves arising as the free surface of water flows that contain stagnation points and possess a discontinuous distribution…