Global renormalised solutions and equilibration of reaction-diffusion systems with non-linear diffusion
K. Fellner, J.L. Fischer, M. Kniely, B.Q. Tang, Journal of Nonlinear Science 33 (2023).

Global existence analysis of energy-reaction-diffusion systems
J.L. Fischer, K. Hopf, M. Kniely, A. Mielke, SIAM Journal on Mathematical Analysis 54 (2022) 220–267.

Uniform convergence to equilibrium for a family of drift–diffusion models with trap-assisted recombination and the limiting Shockley–Read–Hall model
K. Fellner, M. Kniely, Journal of Elliptic and Parabolic Equations 6 (2020) 529–598.

Variance reduction for effective energies of random lattices in the Thomas-Fermi-von Weizsäcker model
J.L. Fischer, M. Kniely, Nonlinearity 33 (2020) 5733–5772.

New optimal control problems in density functional theory motivated by photovoltaics
G. Friesecke, M. Kniely, Multiscale Modeling and Simulation 17 (2019) 926–947.