Asymptotic Behavior of the Solution to a 3-D Simplified Energy-Transport Model for Semiconductors

Asymptotic Behavior of the Solution to a 3-D Simplified Energy-Transport Model for Semiconductors

Year:    2016

Author:    Chundi Liu, Yong Li, Shu Wang

Journal of Partial Differential Equations, Vol. 29 (2016), Iss. 1 : pp. 71–88

Abstract

The well-posedness of smooth solution to a 3-Dsimplified Energy-Transport model is discussed in this paper. We prove the local existence, uniqueness, and asymptotic behavior of solution to the equations with hybrid cross-diffusion. The smooth solution convergences to a stationary solution with an exponential rate as time tends to infinity when the initial date is a small perturbation of the stationary solution.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v29.n1.7

Journal of Partial Differential Equations, Vol. 29 (2016), Iss. 1 : pp. 71–88

Published online:    2016-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:    Energy-Transport model

Author Details

Chundi Liu

Yong Li

Shu Wang

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