Electronic Journal of Differential Equations,
Vol. 1998(1998), No. 15, pp. 1-23.

Title: Stability estimate for strong solutions of the Navier-Stokes system
       and its applications 

Author: Tadashi Kawanago (Shizuoka Univ., Hamamatsu, Japan)

Abstract: 
We obtain a `stability estimate' for strong solutions
of the Navier-Stokes system, which is an $L^\alpha$-version, 
$1< \alpha <\infty$, of the  estimate that Serrin [Se] used in obtaining 
uniqueness of weak solutions to the Navier-Stokes system.
By applying this estimate, we obtain new results in stability and
uniqueness of solutions, and non-blowup conditions for strong solutions. 


Submitted February 17, 1998. Published June 3, 1998.
Math Subject Classification: 35Q30, 76D05.
Key Words: Navier-Stokes system; strong solutions; stability; uniqueness; 
           non-blowup condition.