Vorträge und Posterpräsentationen (ohne Tagungsband-Eintrag):
D. Matthes:
"Analysis for a degenerate Quantum Drift Diffusion Equation";
Hauptvortrag: Workshop "Quantum Systems and Semiconductor Devices: Analysis, Simulations, Applications,
Peking Universität (eingeladen);
20.04.2009
- 24.04.2009.
Kurzfassung deutsch:
siehe engl. Abstract
Kurzfassung englisch:
In the limit of vanishing temperature, the well-known Quantum Drift Diffusion model turns into the DLSS-equation. The latter does no longer include thermal diffusion of second order, but describes the electron motion entirely on the basis of quantum effects, using a non-linear fourth order diffusion operator.
In this talk, we shall present various analytical results on the DLSS equation, from well-posedness of the Cauchy problem to precise estimation of the equilibration rates. Furthermore, extensions of the DLSS equation will be discussed, like the inclusion of a sixth-order correction and the interpolation with a lubrication-type model.
Schlagworte:
Quantum Drift Diffusion, Fourth order equation, Thin film equation
Erstellt aus der Publikationsdatenbank der Technischen Universität Wien.