TY - JOUR
T1 - Global Existence and Asymptotic Behavior of the Solution to 1-D Energy Transport Model for Semiconductors
AU - Yong Li  & Li Chen 
JO - Journal of Partial Differential Equations
VL - 4
SP - 81
EP - 95
PY - 2002
DA - 2002/11
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5463.html
KW - energy transport model
KW - energy estimate
KW - global existence
KW - asymptotic behavior
AB -  In this paper, we study the asymptotic behavior of global smooth solution to the initial boundary problem for the 1-D energy transport model in semiconductor science. We prove that the smooth solution of the problem converges to a stationary solution exponentially fast as t → ∞ when the initial data is a small perturbation of the stationary solution.