TY - JOUR
T1 - Asymptotics of Initial Boundary Value Problems of Bipolar Hydrodynamic Model for Semiconductors
AU - Qiangchang Ju 
JO - Journal of Partial Differential Equations
VL - 1
SP - 57
EP - 70
PY - 2004
DA - 2004/02
SN - 17
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5376.html
KW - Bipolar hydrodynamic model
KW - semiconductors
KW - asymptotics
KW - smooth solution
AB -  In this paper, we study the asymptotic behavior of the solutions to the bipolar hydrodynamic model with Dirichlet boundary conditions. It is shown that the initial boundary problem of the model admits a global smooth solution which decays to the steady state exponentially fast.