Analysis on the initial-boundary value problem of a full bipolar hydrodynamic model for semiconductors

Haifeng Hu; Kaijun Zhang

doi:10.3934/dcdsb.2014.19.1601

Article Contents

2014, Volume 19, Issue 6: 1601-1626. Doi: 10.3934/dcdsb.2014.19.1601

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Analysis on the initial-boundary value problem of a full bipolar hydrodynamic model for semiconductors

Haifeng Hu^1, and
Kaijun Zhang^1,

1.
School of Mathematics and Statistics, Northeast Normal University, Changchun, MO 130024

Received: November 30, 2013

Revised: December 31, 2013

Published: July 2014

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Abstract

We consider the initial boundary value problem of the one dimensional full bipolar hydrodynamic model for semiconductors. The existence and uniqueness of the stationary solution are established by the theory of strongly elliptic systems and the Banach fixed point theorem. The exponentially asymptotic stability of the stationary solution is given by means of the energy estimate method.

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Mathematics Subject Classification: 35B40, 35M13.

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