TY - JOUR
T1 - The Strong Solution of a Class of Generalized Navier-Stokes Equations
JO - Journal of Partial Differential Equations
VL - 1
SP - 75
EP - 88
PY - 2000
DA - 2000/02
SN - 13
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5497.html
KW - Admissible triple
KW - generalized Navier-Stokes equations
KW - i nitial boundary value problem
KW - space-time estimates
AB -  We study initial boundary value (lBV) problem for a class of generalized Navier-Stokes equations in L^q([0, T); L^p(Ω)). Our main tools are regularity of analytic semigroup by Stokes operator and space-time estimates. As an application we can obtain some classical results of the Navier-Stokes equations such as global classical solution of 2-dimensional Navier-Stokes equation etc.