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Quasi-Hydrodynamic Semiconductor Equations
Paperback
Series: Progress in Nonlinear Differential Equations and Their Appli, Book 41
Medical ReferenceGeneral MathematicsPhysics
ISBN13: 9783034895217
Publisher: Birkhauser
Published: Oct 21 2012
Pages: 293
Weight: 0.96
Height: 0.65 Width: 6.14 Depth: 9.21
Language: English
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.
The book is aimed at applied mathematicians and physicists interested in mathematics, as well as graduate and postdoc students and researchers in these fields.
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