TY - JOUR
T1 - Remarks on Exponential Stability of Solutions for the Compressible <em>p</em>-th Power Newtonian Fluid with Large Initial Data
AU - Zhang , Jianlin
AU - Qin , Yuming
AU - Cao , Jie
JO - Journal of Partial Differential Equations
VL - 4
SP - 286
EP - 301
PY - 2016
DA - 2016/12
SN - 29
DO - http://doi.org/10.4208/jpde.v29.n4.3
UR - https://global-sci.org/intro/article_detail/jpde/5094.html
KW - Newtonian fluid
KW - global existence
KW - asymptotic behavior
KW - exponential stability
AB -  In this paper, we establish the exponential stability of the global spherically and cylindrically symmetric solutions in H^i (i=1,2,4) for the p-th power Newtonian fluid in multi-dimension with large initial data. The key point is that the smallness of initial data is not needed if the initial data are cylindrically symmetric.