From Kinetic to Fluid Dynamical Models

Peter A. Markowich, Christian A. Ringhofer and Christian Schmeiser
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Peter A. Markowich: Technische Universität Berlin, Fachbereich Mathematik
Christian A. Ringhofer: Arizona State University, Department of Mathematics
Christian Schmeiser: Technische Universität Wien, Institut für Angewandte und Numerische Mathematik

Chapter 2 in Semiconductor Equations, 1990, pp 83-103 from Springer

Abstract: Abstract Different approaches to the solution of the kinetic transport models discussed in Chapter 1 are possible. Although several promising attempts towards a numerical solution have been undertaken in the recent past (we only mention particle methods [2.10] and spectral methods [2.13]), the application of numerical methods remains to be a formidable task in general. Apart from that, solutions of the kinetic equations contain in many cases (e.g. close to equilibrium) a good deal of redundant information.

Keywords: Boltzmann Equation; Hydrodynamic Model; Auger Recombination; Valence Band Maximum; Conduction Band Minimum (search for similar items in EconPapers)
Date: 1990
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DOI: 10.1007/978-3-7091-6961-2_3

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