Weak solutions to a one-dimensional hydrodynamic model of two carrier types for semiconductors

Weifu Fang; Kazufumi Ito

doi:10.1016/0362-546X(95)00189-3

Weak solutions to a one-dimensional hydrodynamic model of two carrier types for semiconductors

Weifu Fang
, Kazufumi Ito

Mathematics and Statistics

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

Abstract

In this paper, we consider the case of two carrier types (i.e. electrons and holes) in the same hydrodynamic model where the equations of energy conservation are eliminated by assuming a pressure-density relation. The model under consideration in one spatial dimension consists of the following equations. See, e.g. [l-3,6] for details on derivation of the model

Original language	English
Pages (from-to)	947-963
Number of pages	17
Journal	Nonlinear Analysis
Volume	28
Issue number	5
DOIs	https://doi.org/10.1016/0362-546X(95)00189-3
State	Published - Mar 1 1997

ASJC Scopus Subject Areas

Analysis
Applied Mathematics

Keywords

Compensated compactness
Hydrodynamic model for semiconductors
Hyperbolic systems
Viscosity method

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10.1016/0362-546X(95)00189-3

Cite this

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abstract = " In this paper, we consider the case of two carrier types (i.e. electrons and holes) in the same hydrodynamic model where the equations of energy conservation are eliminated by assuming a pressure-density relation. The model under consideration in one spatial dimension consists of the following equations. See, e.g. [l-3,6] for details on derivation of the model",

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AB - In this paper, we consider the case of two carrier types (i.e. electrons and holes) in the same hydrodynamic model where the equations of energy conservation are eliminated by assuming a pressure-density relation. The model under consideration in one spatial dimension consists of the following equations. See, e.g. [l-3,6] for details on derivation of the model

KW - Compensated compactness

KW - Hydrodynamic model for semiconductors

KW - Hyperbolic systems

KW - Viscosity method

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Weak solutions to a one-dimensional hydrodynamic model of two carrier types for semiconductors

Abstract

ASJC Scopus Subject Areas

Keywords

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