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REGULARITY CRITERION ON WEAK SOLUTIONS TO THE NAVIER-STOKES EQUATIONS
Consider a weak solution u of the Navier-Stokes equations in the class <TEX>$L^2((0,T);X_1(\mathbb{R}^d)^d)$</TEX>. We establish a new approach to treat the regularity problem for the Navier-Stokes equation in term of the multiplier space <TEX>$X_1(\mathbb{R}^d)$</TEX>.