Viscous approximations of quantum Euler-Poisson systems

01.01.2008 - 31.12.2009

Research funding project

Quantum Euler-Poisson equations are important macroscopic models in the modeling of semiconductor devices. In this project, viscous versions of these equations will be analyzed. The project goals are (1) non-uniqueness of solutions and bifurcation in the quantum hydrodynamic (QHD) equations, (2) study of Lent-Kirkner boundary conditions, (3) new estimates for viscous QHD models, (4) the existence of solutions to viscous QHD models.

People

Project leader

Ansgar Jüngel (E101)

Institute

E101 - Institute of Analysis and Scientific Computing

Grant funds

OeAD-GmbH - Agentur für Bildung und Internationalisierung (National) Austrian Exchange Service (OeAD)

Keywords

German	English
Halbleiter	semiconductor
Quantenhydrodynamische Modelle	Quantum hydrodynamic models
Nichtlineare partielle Differentialgleichungen	Nonlinear partial differential equations

Publications

Publications