Bogdan–Vasile Matioc

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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

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Showing 2026 · math.APShow all

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math.AP2026

Linearized Stability of Non-Isolated Equilibria of Quasilinear Parabolic Problems in Interpolation Spaces

Bogdan-Vasile Matioc, Christoph Walker

The stability of non-isolated equilibria to quasilinear parabolic problems of the form $u^{'} = A (u) u + f (u)$ is established in interpolation spaces (and thus extending previous resul…

math.AP2026

The $N$ -dimensional gravity driven Muskat problem

Bogdan-Vasile Matioc, Georg Prokert

We study the Muskat problem, which describes the motion of two immiscible, incompressible fluids in a homogeneous porous medium occupying the full space $R^{N + 1}$ , $N \g…

Linearized Stability of Non-Isolated Equilibria of Quasilinear Parabolic Problems in Interpolation Spaces

The N-dimensional gravity driven Muskat problem

The $N$ -dimensional gravity driven Muskat problem