Global existence and asymptotic limits of weak solutions of the bipolar hydrodynamic model for semiconductors

DOI10.1007/s00605-002-0543-7zbMath1043.35105OpenAlexW2069144568MaRDI QIDQ1423733

Norbert J. Mauser, Youchun Qiu, Kai-Jun Zhang

Publication date: 7 March 2004

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-002-0543-7

zbMATH Keywords

Cauchy problemcompensated compactnessglobal weak solutionsquasi-neutral-relaxation limitsrelaxation limits

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Statistical mechanics of semiconductors (82D37) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

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A review of hydrodynamical models for semiconductors: Asymptotic behavior ⋮ Stability of the stationary solution of the Cauchy problem to a semiconductor full hydrodynamic model with recombination-generation rate

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