TY - CHAP A1 - Kantner, Markus A1 - Höhne, Theresa A1 - Koprucki, Thomas A1 - Burger, Sven A1 - Wünsche, Hans-Jürgen A1 - Schmidt, Frank A1 - Mielke, Alexander A1 - Bandelow, Uwe ED - Kneissl, Michael ED - Knorr, Andreas ED - Reitzenstein, Stephan ED - Hoffmann, Axel T1 - Multi-dimensional modeling and simulation of semiconductor nanophotonic devices T2 - Semiconductor Nanophotonics Y1 - 2020 U6 - https://doi.org/10.1007/978-3-030-35656-9_7 VL - 194 SP - 241 EP - 283 PB - Springer CY - Cham ER - TY - JOUR A1 - Mielke, Alexander A1 - Montefusco, Alberto A1 - Peletier, Mark A. T1 - Exploring families of energy-dissipation landscapes via tilting: three types of EDP convergence JF - Continuum Mechanics and Thermodynamics N2 - This paper revolves around a subtle distinction between two concepts: passing to the limit in a family of gradient systems, on one hand, and deriving effective kinetic relations on the other. The two concepts are strongly related, and in many examples they even appear to be the same. Our main contributions are to show that they are different, to show that well-known techniques developed for the former may give incorrect results for the latter, and to introduce new tools to remedy this. The approach is based on the Energy-Dissipation Principle that provides a variational formulation to gradient-flow equations that allows one to apply techniques from Γ-convergence of functional on states and functionals on trajectories. Y1 - 2021 U6 - https://doi.org/10.1007/s00161-020-00932-x VL - 33 SP - 611 EP - 637 PB - Springer ER -