55 citations · 182 across the 40 of their papers we have counts for
4 papers · 1 filter
Well-Posedness of Quasilinear Parabolic Equations in Time-Weighted Spaces
Bogdan Matioc, Christoph Walker
Well-posedness in time-weighted spaces of certain quasilinear (and semilinear) parabolic evolution equations is established. The focus lies on the case of strict in…
The Mullins-Sekerka problem via the method of potentials
Joachim Escher, Anca-Voichita Matioc, Bogdan-Vasile Matioc
It is shown that the two-dimensional Mullins-Sekerka problem is well-posed in all subcritical Sobolev spaces with This is the first result where th…
Recovery of traveling water waves with smooth vorticity from the horizontal velocity on a line of symmetry for various wave regimes
Daniel Böhme, Bogdan-Vasile Matioc
In the general context of rotational water waves with a smooth vorticity it is shown that the wave profile can be recovered from the horizontal component of the velocity field on a…
Weak and classical solutions to an asymptotic model for atmospheric flows
Bogdan-Vasile Matioc, Luigi Roberti
In this paper we study a recently derived mathematical model for nonlinear propagation of waves in the atmosphere, for which we establish the local well-posedness in the setting of…