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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 2024 · math.APShow all

5 papers · 2 filters

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 with strict inclusion 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 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 , 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 featuring Hölder continuous nonlinearities 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…