Share
Hierarchy of Semiconductor Equations: Relaxation Limits with Initial Layers for Large Initial Data
Shinya Nishibata
(Author)
·
Masahiro Suzuki
(Author)
·
Mathematical Society of Japan
· Paperback
Hierarchy of Semiconductor Equations: Relaxation Limits with Initial Layers for Large Initial Data - Nishibata, Shinya ; Suzuki, Masahiro
£ 15.30
£ 17.00
You save: £ 1.70
Choose the list to add your product or create one New List
✓ Product added successfully to the Wishlist.
Go to My WishlistsIt will be shipped from our warehouse between
Wednesday, July 10 and
Friday, July 12.
You will receive it anywhere in United Kingdom between 1 and 3 business days after shipment.
Synopsis "Hierarchy of Semiconductor Equations: Relaxation Limits with Initial Layers for Large Initial Data"
This volume provides a recent study of mathematical research on semiconductor equations. With recent developments in semiconductor technology, several mathematical models have been established to analyze and to simulate the behavior of electron flow in semiconductor devices. Among them, a hydrodynamic, an energy-transport and a drift-diffusion models are frequently used for the device simulation with the suitable choice, depending on the purpose of the device usage. Hence, it is interesting and important not only in mathematics but also in engineering to study a model hierarchy, relations among these models. The model hierarchy has been formally understood by relaxation limits letting the physical parameters, called relaxation times, tend to zero. The main concern of this volume is the mathematical justification of the relaxation limits. Precisely, we show that the time global solution for the hydrodynamic model converges to that for the energy-transport model as a momentum relaxation time tends to zero. Moreover, it is shown that the solution for the energy-transport model converges to that for the drift-diffusion model as an energy relaxation time tends to zero. For beginners' help, this volume also presents the physical background of the semiconductor devices, the derivation of the models, and the basic mathematical results such as the unique existence of time local solutions.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets
- 0% (0)
- 0% (0)
- 0% (0)
- 0% (0)
- 0% (0)
All books in our catalog are Original.
The book is written in English.
The binding of this edition is Paperback.
✓ Producto agregado correctamente al carro, Ir a Pagar.
