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math.AP2014★ 1 cited
On the Effects of Bohm's Potential on a Stationary Macroscopic System of Self-Interacting Particles
René Pinnau, Oliver Tse
We consider a macroscopic model describing a system of self-gravitating particles. We study the existence and uniqueness of non-negative stationary solutions and allude the differe…
math.AP2012
Existence analysis for a simplified transient energy-transport model for semiconductors
Ansgar Jüngel, René Pinnau, Elisa Röhrig
A simplified transient energy-transport system for semiconductors subject to mixed Dirichlet-Neumann boundary conditions is analyzed. The model is formally derived from the non-iso…