A review of hydrodynamical models for semiconductors: Asymptotic behavior

Hailiang Li; Peter Markowich

doi:10.1007/BF01233670

A review of hydrodynamical models for semiconductors: Asymptotic behavior

Hailiang Li^*, Peter Markowich

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We review recent results on the hydrodynamical model for semiconductors. The derivation of the mathematical model from the semi-classical Boltzmann equation in terms of the moment method is performed, and the mathematical analysis of the asymptotic behavior of both classical solutions and entropy weak solutions is given on spatially bounded domain or whole space.

Original language	English (US)
Pages (from-to)	321-342
Number of pages	22
Journal	Bulletin of the Brazilian Mathematical Society
Volume	32
Issue number	3
DOIs	https://doi.org/10.1007/BF01233670
State	Published - 2001
Externally published	Yes

Keywords

Asymptotic behavior
Hydrodynamical models
Semiconductors

ASJC Scopus subject areas

General Mathematics

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10.1007/BF01233670

Cite this

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title = "A review of hydrodynamical models for semiconductors: Asymptotic behavior",

abstract = "We review recent results on the hydrodynamical model for semiconductors. The derivation of the mathematical model from the semi-classical Boltzmann equation in terms of the moment method is performed, and the mathematical analysis of the asymptotic behavior of both classical solutions and entropy weak solutions is given on spatially bounded domain or whole space.",

keywords = "Asymptotic behavior, Hydrodynamical models, Semiconductors",

author = "Hailiang Li and Peter Markowich",

year = "2001",

doi = "10.1007/BF01233670",

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volume = "32",

pages = "321--342",

journal = "Bulletin of the Brazilian Mathematical Society",

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AU - Markowich, Peter

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AB - We review recent results on the hydrodynamical model for semiconductors. The derivation of the mathematical model from the semi-classical Boltzmann equation in terms of the moment method is performed, and the mathematical analysis of the asymptotic behavior of both classical solutions and entropy weak solutions is given on spatially bounded domain or whole space.

KW - Asymptotic behavior

KW - Hydrodynamical models

KW - Semiconductors

UR - http://www.scopus.com/inward/record.url?scp=0042759932&partnerID=8YFLogxK

U2 - 10.1007/BF01233670

DO - 10.1007/BF01233670

M3 - Article

AN - SCOPUS:0042759932

SN - 0100-3569

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JO - Bulletin of the Brazilian Mathematical Society

JF - Bulletin of the Brazilian Mathematical Society

IS - 3

ER -

A review of hydrodynamical models for semiconductors: Asymptotic behavior

Abstract

Keywords

ASJC Scopus subject areas

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