TY - JOUR
T1 - Lp Exponential Stability for the Equilibrium Solutions of the Navier-Stokes Equations
AU - Qu, Chaoshun
AU - Wang, Ping
PY - 1995/3/1
Y1 - 1995/3/1
N2 - The exponential stability of the solution of the Navier-Stokes equation in Lp, p > 2, p ≠ 3, in bounded domain is considered in this paper. Under some assumptions on the external force, it can be shown that the bounded solution of the Navier-Stokes equation with initial and boundary conditions approaches the stationary solution of the system exponentially when time t goes to infinite.
AB - The exponential stability of the solution of the Navier-Stokes equation in Lp, p > 2, p ≠ 3, in bounded domain is considered in this paper. Under some assumptions on the external force, it can be shown that the bounded solution of the Navier-Stokes equation with initial and boundary conditions approaches the stationary solution of the system exponentially when time t goes to infinite.
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U2 - 10.1006/jmaa.1995.1085
DO - 10.1006/jmaa.1995.1085
M3 - Article
AN - SCOPUS:0006849129
SN - 0022-247X
VL - 190
SP - 419
EP - 427
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -