3 papers
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 with This is the first result where th…
math.AP2017
Well-posedness and stability results for a quasilinear periodic Muskat problem
Anca-Voichita Matioc, Bogdan-Vasile Matioc
We study the Muskat problem describing the spatially periodic motion of two fluids with equal viscosities under the effect of gravity in a vertical unbounded two-dimensional geomet…
math.AP2012
On the particle motion in geophysical deep water waves traveling over uniform currents
Anca-Voichita Matioc
We describe a family of exact Gerstner type solutions for the geophysical equatorial deep water wave problem in the f-plane approximation. These Gerstner type waves are two-dimensi…