22 citations · 48 across the 13 of their papers we have counts for
4 papers · 1 filter
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…