Tohoku Mathematical Journal
2001
March
SECOND SERIES VOL. 53, NO. 1

Tohoku Math. J.
53 (2001), 55-79

Title WEAK SOLUTIONS OF THE NAVIER-STOKES EQUATIONS WITH TEST FUNCTIONS IN THE WEAK-$L^n$ SPACE

Dedicated to Professor John G. Heywood on his sixtieth birthday
Author Hideo Kozono

(Received April 19, 1999, revised December 15, 1999)
Abstract. We show the existence of weak solutions of the Navier-Stokes equations with test functions in the weak-$L^n$ space. As an application, we give a new criterion on uniqueness and regularity of weak solutions which covers the previous results.

2000 Mathematics Subject Classification. Primary 35Q30.

To the top of this page

Back to the Contents