Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
WEAK SOLUTIONS OF THE NAVIER-STOKES EQUATIONS WITH TEST FUNCTIONS IN THE WEAK-$L^n$ SPACE
HIDEO KOZONO
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2001 Volume 53 Issue 1 Pages 55-79

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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.
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© 2001 by THE TOHOKU UNIVERSITY
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