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Quasi-hydrodynamic Semiconductor Equations (Progress in Nonlinear Differential Equations and Their Applications, 41) - Hardcover
Synopsis
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.
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Quasi-hydrodynamic Semiconductor Equations (Progress in Nonlinear Differential Equations and Their Applications)
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Quasi-hydrodynamic Semiconductor Equations (Hardcover)
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Birkhauser Verlag AG, Basel, 2001
ISBN 10: 3764363495
ISBN 13: 9783764363499
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Hardcover. Condition: new. Hardcover. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9783764363499
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