Titlebook: Quasi-hydrodynamic Semiconductor Equations; Ansgar Jüngel Book 2001 Birkhäuser Verlag 2001 Finite.Partial differential equations.Semicondu

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Book 2001t-diffusion equations, energy-transport models, and quantum hydrodynamic equations. The derivation of each of the models is shown, including physical discussions. Furthermore, the corresponding mathematical problems are analyzed, using modern techniques for nonlinear partial differential equations.

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Introduction, (semi-) classical and quantum models are explained (Section 1.1). Three quasi-hydrodynamic equations are considered in more detail, and an outline of the contents of this work is presented (Section 1.2)

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The Isentropic Drift-diffusion Model,ics (Section 3.1). The existence and uniqueness of solutions to the time-dependent problem are proved in Sections 3.2 and 3.3. Since the model contains parabolic equations of degenerate type, solutions may exist for which the carrier densities vanish locally. These solutions are called.. In Section

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