Blowup criterion for Navier-Stokes equation in critical Besov space with spatial dimensions d ≥ 4

2018/03/12 by Li, Kuijie, Wang, Baoxiang
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1803.04076

Abstract

This paper is concerned with the blowup criterion for mild solution to the incompressible Navier-Stokes equation in higher spatial dimensions d ≥ 4. By establishing an ε regularity criterion, we show that if the mild solution u with initial data in B^-1+d/p_p,q(ℝ^d) , d

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