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math.AP2022
Analysis of a quasilinear coupled magneto-quasistatic model: solvability and regularity of solutions
Ralph Chill, Timo Reis, Tatjana Stykel
We consider a~quasilinear model arising from dynamical magnetization. This model is described by a~magneto-quasistatic (MQS) approximation of Maxwell's equations. Assuming that the…
math.AP2020
On the numerical range of second order elliptic operators with mixed boundary conditions in
Ralph Chill, Hannes Meinlschmidt, Joachim Rehberg
We consider second order elliptic operators with real, nonsymmetric coefficient functions which are subject to mixed boundary conditions. The aim of this paper is to provide unifor…
math.AP2018
The bidomain problem as a gradient system
Zakaria Belhachmi, Ralph Chill
We consider a general, nonlinear version of the bidomain system. Using the gradient structure of this system, but also the notion of -subgradient, we prove wellposedness of the…