TY - JOUR
T1 - Existence and Nonlinear Stability of Stationary Solutions to the Viscous Two-Phase Flow Model in a Half Line
AU - Li , Hai-Liang
AU - Zhao , Shuang
JO - Communications in Mathematical Research 
VL - 4
SP - 423
EP - 459
PY - 2020
DA - 2020/11
SN - 36
DO - http://doi.org/10.4208/cmr.2020-0063
UR - https://global-sci.org/intro/article_detail/cmr/18361.html
KW - Two-phase flow, outflow problem, stationary solution, nonlinear stability.
AB - <p style="text-align: justify;">The outflow problem for the viscous two-phase flow model in a half
line is investigated in the present paper. The existence and uniqueness of the
stationary solution is shown for both supersonic state and sonic state at spatial
far field, and the nonlinear time stability of the stationary solution is also established in the weighted Sobolev space with either the exponential time decay
rate for supersonic flow or the algebraic time decay rate for sonic flow.</p>