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

Chundi Liu; Yong Li; Shu Wang

doi:10.4208/jpde.v29.n1.7

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

Authors

Chundi Liu College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
Yong Li College of Applied Science, Beijing University of Technology, Beijing 100124, China
Shu Wang College of Applied Science, Beijing University of Technology, Beijing 100124, China

DOI:

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

Keywords:

Energy-Transport model;Gagliardo-Nirenberg inequality;asymptotic behavior

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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Published

2016-03-05

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3650

Issue

Vol. 29 No. 1 (2016)

Section

Articles

How to Cite

Asymptotic Behavior of the Solution to a 3-D Simplified Energy-Transport Model for Semiconductors. (2016). Journal of Partial Differential Equations, 29(1), 71-88. https://doi.org/10.4208/jpde.v29.n1.7