Combining the kernel estimate with the Taylor series expansion is proposed to develop a Corrective Smoothed Particle Method (CSPM). This algorithm resolves the general problem of particle de"ciency at boundaries, which is a shortcoming in Standard Smoothed Particle Hydrodynamics (SSPH). In addition,
A boundary value problem for a kinetic model describing electron flow in a semiconductor
โ Scribed by C. R. Drago; A. Majorana
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 143 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0170-4214
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โฆ Synopsis
A kinetic model describing the evolution of an electron gas in a semiconductor device is analysed. It arises from the Boltzmann equation by using a spherical harmonic expansion, and it involves di!erence-partial di!erential equations. A boundary value problem is proposed and an existence and uniqueness theorem is proved for the stationary one-dimensional case. A simple asymptotic model is derived and for this a maximum principle is shown.
๐ SIMILAR VOLUMES
In this paper an initial-boundary-value problem in one-space dimension is studied for the Broadwell model extended to a gas mixture undergoing bimolecular reactions. Techniques of semigroup of bounded positive operators in a suitable Banach space are used to prove existence and uniqueness of the sol
Dedicated to Professor George C. Hsiao on the occasion of his 60th birthday