REGULARITY CRITERION ON WEAK SOLUTIONS TO THE NAVIER-STOKES EQUATIONS

Title & Authors
REGULARITY CRITERION ON WEAK SOLUTIONS TO THE NAVIER-STOKES EQUATIONS

Abstract
Consider a weak solution u of the Navier-Stokes equations in the class $\small{L^2((0,T);X_1(\mathbb{R}^d)^d)}$. We establish a new approach to treat the regularity problem for the Navier-Stokes equation in term of the multiplier space $\small{X_1(\mathbb{R}^d)}$.
Keywords
Navier-Stokes equation;weak solution;regularity;multiplier spaces;
Language
English
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