14 citations · 36 across the 16 of their papers we have counts for
3 papers · 1 filter
The full Keller-Segel model is well-posed on nonsmooth domains
Dirk Horstmann, Hannes Meinlschmidt, Joachim Rehberg
In this paper we prove that the full Keller-Segel system, a quasilinear strongly coupled reaction-crossdiffusion system of four parabolic equations, is well-posed in space dimensio…
On maximal parabolic regularity for non-autonomous parabolic operators
Karoline Disser, A. F. M. ter Elst, Joachim Rehberg
We consider linear inhomogeneous non-autonomous parabolic problems associated to sesquilinear forms, with discontinuous dependence of time. We show that for these problems, the pro…
Optimal Control of the Thermistor Problem in Three Spatial Dimensions
Hannes Meinlschmidt, Christian Meyer, Joachim Rehberg
This paper is concerned with the state-constrained optimal control of the three-dimensional thermistor problem, a fully quasilinear coupled system of a parabolic and elliptic PDE w…