Quasi-hydrodynamic Semiconductor Equations

By:

Ansgar Jungel

Format:

Paperback / softback

Series:

Progress in Nonlinear Differential Equations and Their Applications

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Description

In this book a hierarchy of macroscopic models for semiconductor devices is presented. Three classes of models are studied in detail: isentropic drift-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. The equations are discretized employing mixed finite-element methods. Also, numerical simulations for modern semiconductor devices are performed, showing the particular features of the models. Modern analytical techniques have been used and further developed, such as positive solution methods, local energy methods for free-boundary problems and entropy methods. The book is aimed at applied mathematicians and physicists interested in mathematics, as well as graduate and postdoc students and researchers in these fields.

Release date NZ

October 21st, 2012

Author

Ansgar Jungel

Audience

Professional & Vocational

Edition

Softcover reprint of the original 1st ed. 2001

Illustrations

X, 293 p.

Pages

293

Series

Progress in Nonlinear Differential Equations and Their Applications

Dimensions

156x234x16

ISBN-13

9783034895217

Product ID

21701790

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