TY - JOUR
T1 - Asymptotic Behavior of the Solution to a 3-D Simplified Energy-Transport Model for Semiconductors
AU - Liu , Chundi
AU - Li , Yong
AU - Wang , Shu
JO - Journal of Partial Differential Equations
VL - 1
SP - 71
EP - 88
PY - 2016
DA - 2016/03
SN - 29
DO - http://doi.org/10.4208/jpde.v29.n1.7
UR - https://global-sci.org/intro/article_detail/jpde/5080.html
KW - Energy-Transport model
KW - Gagliardo-Nirenberg inequality
KW - asymptotic behavior
AB -  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.