✦ LIBER ✦

Space Homogeneous Solutions of the Linear Semiconductor Boltzmann Equation

✍ Scribed by A. Majorana; C. Milazzo

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 137 KB
Volume: 259
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7444

No coin nor oath required. For personal study only.

✦ Synopsis

The linear Boltzmann equation describing electron flow in a semiconductor is considered. The Cauchy problem for space-independent solutions is investigated, and without requiring a bounded collision frequency the existence of integrable solutions is established. Mass conservation, an H-theorem, and moment estimates also are obtained, assuming weak conditions. Finally, the uniqueness of the solution is demonstrated under a suitable hypothesis on the collision frequency.

📜 SIMILAR VOLUMES

Infinite energy solutions to the homogen

Infinite energy solutions to the homogeneous Boltzmann equation

✍ Marco Cannone; Grzegorz Karch 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 229 KB

Trimodal approximate solutions of the no

Trimodal approximate solutions of the non-linear Boltzmann equation

✍ V. D. Gordevsky 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 147 KB 👁 2 views

## Communicated by V. Lvov Approximate solutions of the non-linear Boltzmann equation, which have the structure of the linear combination of three global Maxwellians with arbitrary hydrodynamical parameters, are considered. Some sufficient conditions which allow the error between the left-and the

Accelerated Solution of the Boltzmann Eq

Accelerated Solution of the Boltzmann Equation

✍ G.J. Parker; W.N.G. Hitchon; J.E. Lawler 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 418 KB

Exact Solution to the Linearized Poisson

Exact Solution to the Linearized Poisson–Boltzmann Equation for Spheroidal Surfaces

✍ Jyh-Ping Hsu; Bo-Tau Liu 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 148 KB

Radially symmetric solutions of the Pois

Radially symmetric solutions of the Poisson–Boltzmann equation

✍ A. Krzywicki; T. Nadzieja; E. Meister 📂 Article 📅 1989 🏛 John Wiley and Sons 🌐 English ⚖ 248 KB

On the Solution Spaces of Linear Second-

On the Solution Spaces of Linear Second-Order Homogeneous Ordinary Differential Equations and Associated Boundary Conditions

✍ J. Das (neé Chaudhari) 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 139 KB

This note deals with linear second-order homogeneous ordinary differential equations associated with linear homogeneous boundary conditions. We find those solutions of the differential equation that satisfy a given boundary condition. Also, we determine the set of all those boundary conditions that