Bogdan–Vasile Matioc

activity

20102026

most citedThe Muskat problem in 2D: equivalence of formulations, well-posedness, and regularity results

55 citations · 182 across the 40 of their papers we have counts for

collaborators

Showing 2023 · math.APShow all

3 papers · 2 filters

math.AP2023

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 $u^{'} = A (u) u + f (u)$ is established. The focus lies on the case of strict in…

math.AP2023

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 $H^{r} (R)$ with $r \in (3/2, 2) .$ This is the first result where th…

math.AP2023

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…