22 citations · 48 across the 13 of their papers we have counts for
15 papers
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…
A new reformulation of the Muskat problem with surface tension
Anca--Voichita Matioc, Bogdan--Vasile Matioc
Two formulas that connect the derivatives of the double layer potential and of a related singular integral operator evaluated at some density to the -adjoints of t…
The Muskat problem with surface tension and equal viscosities in subcritical -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 , where ${p\in(1…
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…
Capillary-gravity water waves with discontinuous vorticity: existence and regularity results
Anca-Voichita matioc, Bogdan-Vasile Matioc
In this paper we construct periodic capillarity-gravity water waves with an arbitrary bounded vorticity distribution. This is achieved by reexpressing, in the height function formu…
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…
On periodic water waves with Coriolis effects and isobaric streamlines
Anca-Voichita Matioc, Bogdan-Vasile Matioc
In this paper we prove that solutions of the f-plane approximation for equatorial geophysical deep water waves, which have the property that the pressure is constant along the stre…
An explicit solution for deep water waves with Coriolis effects
Anca-Voichita Matioc
We present an explicit solution for the geophysical equatorial deep water waves in the f-plane approximation.
Steady internal water waves with a critical layer bounded by the wave surface
Anca-Voichita Matioc
In this paper we construct small amplitude periodic internal waves traveling at the boundary region between two rotational and homogeneous fluids with different densities. Within a…
On the well-posedness of a mathematical model describing water-mud interaction
Joachim Escher, Anca-Voichita Matioc
In this paper we consider a mathematical model describing the two-phase interaction between water and mud in a water canal when the width of the canal is small compared to its dept…
On particle trajectories in linear deep-water waves
Anca-Voichita Matioc
We determine the phase portrait of a Hamiltonian system of equations describing the motion of the particles in linear deep-water waves. The particles experience in each period a fo…
A generalised Rayleigh-Taylor condition for the Muskat problem
Joachim Escher, Anca-Voichita Matioc, Bogdan-Vasile Matioc
In this paper we consider the evolution of two fluid phases in a porous medium. The fluids are separated from each other and also the wetting phase from air by interfaces which evo…
Analysis of a mathematical model describing necrotic tumor growth
Joachim Escher, Anca-Voichita Matioc, Bogdan-Vasile Matioc
In this paper we study a model describing the growth of necrotic tumors in different regimes of vascularisation. The tumor consists of a necrotic core of death cells and a surround…
Bifurcation analysis for a free boundary problem modeling tumor growth
Joachim Escher, Anca-Voichita Matioc
In this paper we deal with a free boundary problem modeling the growth of nonnecrotic tumors.The tumor is treated as an incompressible fluid, the tissue elasticity is neglected and…
Well-posedness and stability analysis for a moving boundary problem modelling the growth of nonnecrotic tumors
Joachim Escher, Anca-Voichita Matioc
We study a moving boundary problem describing the growth of nonnecrotic tumors in different regimes of vascularisation. This model consists of two decoupled Dirichlet problem, one…