55 citations · 182 across the 40 of their papers we have counts for
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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…
On the parabolicity of the Muskat problem: Well-posedness, fingering, and stability results
Joachim Escher, Bogdan-Vasile Matioc
We consider in this paper the Muskat problem in a periodic geometry and incorporate capillary as well as gravity effects in the modelling. The problem re-writes as an abstract evol…