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 2020Show all

3 papers · 1 filter

math.AP2020

The Muskat problem with surface tension and equal viscosities in subcritical $L_{p}$ -Sobolev spaces

Anca-Voichita Matioc, Bogdan-Vasile Matioc

In this paper we establish the well-posedness of the Muskat problem with surface tension and equal viscosities in the subcritical Sobolev spaces $W_{p}^{s} (R)$ , where ${p\in(1…

math.AP2020

Two-phase Stokes flow by capillarity in full 2D space: an approach via hydrodynamic potentials

Bogdan-Vasile Matioc, Georg Prokert

We study the two-phase Stokes flow driven by surface tension with two fluids of equal viscosity, separated by an asymptotically flat interface with graph geometry. The flow is assu…

math.AP2020★ 19 cited

Well-posedness of the Muskat problem in subcritical $L_{p}$ -Sobolev spaces

Helmut Abels, Bogdan-Vasile Matioc

We study the Muskat problem describing the vertical motion of two immiscible fluids in a two-dimensional homogeneous porous medium in an $L_{p}$ -setting with $p \in (1, \infty)$ . The So…

The Muskat problem with surface tension and equal viscosities in subcritical Lp​-Sobolev spaces

Two-phase Stokes flow by capillarity in full 2D space: an approach via hydrodynamic potentials

Well-posedness of the Muskat problem in subcritical Lp​-Sobolev spaces

The Muskat problem with surface tension and equal viscosities in subcritical $L_{p}$ -Sobolev spaces

Well-posedness of the Muskat problem in subcritical $L_{p}$ -Sobolev spaces