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 2024Show all

5 papers · 1 filter

math.AP2024

On the principle of linearized stability for quasilinear evolution equations in time-weighted spaces

Bogdan-Vasile Matioc, Lina Sophie Schmitz, Christoph Walker

Quasilinear (and semilinear) parabolic problems of the form $v^{'} = A (v) v + f (v)$ with strict inclusion $dom (f) ⊊ dom (A)$ of the domains of the function $v\maps…

math.AP2024

Quasilinear parabolic equations with superlinear nonlinearities in critical spaces

Bogdan-Vasile Matioc, Luigi Roberti, Christoph Walker

Well-posedness in time-weighted spaces for quasilinear (and semilinear) parabolic evolution equations $u^{'} = A (u) u + f (u)$ is established in a certain critical case of strict inclusion…

math.AP2024

Well-posedness and stability for the two-phase periodic quasistationary Stokes flow

Daniel Böhme, Bogdan-Vasile Matioc

The two-phase horizontally periodic quasistationary Stokes flow in $R^{2}$ , describing the motion of two immiscible fluids with equal viscosities that are separated by a sha…

math.AP2024

Global solutions for semilinear parabolic evolution problems with Hölder continuous nonlinearities

Bogdan-Vasile Matioc, Christoph Walker

It is shown that semilinear parabolic evolution equations $u^{'} = A + f (t, u)$ featuring Hölder continuous nonlinearities $f = f (t, u)$ with at most linear growth possess global strong solu…

math.AP2024

Steady periodic hydroelastic waves in polar regions

Bogdan-Vasile Matioc, Emilian Parau

We construct two-dimensional steady periodic hydroelastic waves with vorticity that propagate on water of finite depth under a deformable floating elastic plate which is modeled by…