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Quasi-Hydrodynamic Semiconductor Equations (2001)

Quasi-hydrodynamic Semiconductor Equations

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"Quasi-hydrodynamic Semiconductor Equations" by Ansgar Jüngel is a mathematics book and learning resource focused on Devices & Sensors. Best for teachers, students, and readers looking for stronger mathematical understanding.

This book presents a hierarchy of macroscopic models for semiconductor devices, studying three classes of models in detail: isentropic drift-diffusion equations, energy-transport models, and quantum hydrodynamic equations. The derivation of each, including physical discussions, is shown. Numerical simulations for modern semiconductor devices are performed, showing the particular features of each. The author develops modern analytical techniques, such as positive solution methods, local energy methods for free-boundary problems and entropy methods.

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Best For: Researchers and graduate students in semiconductor physics and applied mathematics
Focus: Derivation and analysis of macroscopic semiconductor device models including drift-diffusion, energy-transport, and quantum hydrodynamic equations
Covers: Physical derivation of models, numerical simulations of semiconductor devices, and analytical techniques
Why It Matters: Provides detailed mathematical frameworks and simulations that aid understanding and development of semiconductor device modeling

"Quasi-hydrodynamic Semiconductor Equations" by Ansgar Jüngel is a mathematics book and learning resource focused on Devices & Sensors. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Devices & Sensors

Author: Ansgar Jüngel

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

This book presents a hierarchy of macroscopic models for semiconductor devices, studying three classes of models in detail: isentropic drift-diffusion equations, energy-transport models, and quantum hydrodynamic equations. The derivation of each, including physical discussions, is shown. Numerical simulations for modern semiconductor devices are performed, showing the particular features of each. The author develops modern analytical techniques, such as positive solution methods, local energy methods for free-boundary problems and entropy methods.

AuthorAnsgar Jüngel
PublisherSpringer Science & Business Media
Published2001-02-01
ISBN-139783764363499
BindingHardcover
Pages314
LanguageEnglish
SubjectsMathematics
TopicDevices & Sensors
SeriesProgress in Nonlinear Differential Equations and Their Appli

Format: Hardcover

Length: 314 pages

Language: English

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