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2001 Weak solutions of the Navier-Stokes equations with test functions in the weak-$L^n$ space
Hideo Kozono
Tohoku Math. J. (2) 53(1): 55-79 (2001). DOI: 10.2748/tmj/1178207531

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.

Citation

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Hideo Kozono. "Weak solutions of the Navier-Stokes equations with test functions in the weak-$L^n$ space." Tohoku Math. J. (2) 53 (1) 55 - 79, 2001. https://doi.org/10.2748/tmj/1178207531

Information

Published: 2001
First available in Project Euclid: 3 May 2007

zbMATH: 0997.35047
MathSciNet: MR1808641
Digital Object Identifier: 10.2748/tmj/1178207531

Subjects:
Primary: 76D05
Secondary: 35D05 , 35Q30

Rights: Copyright © 2001 Tohoku University

Vol.53 • No. 1 • 2001
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