id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-327	Dao, Nguyen Anh; Diaz, Jesus Ildefonso	Logarithmically improved regularity criteria for the Navier-Stokes equations in homogeneous Besov spaces	2021	9	.pdf	application/pdf	3420	223	82	To be more precise, if∫ T 0 ‖w(τ)‖L∞ dτ <∞ , then the smooth solution u, in C([0, T );W s,p(Rn)), with s > n/p + 1, can be continued beyond t = T . Thanks to the Gagliardo–Nirenberg inequality, we obtain ‖(−∆) s0 2 u(t)‖L2 ≤ ‖u(t)‖1− s0 s L2 ‖(−∆)s/2u(t)‖ s0 s L2 ≤ ‖u‖ 1− s0s L∞(0,T ;L2)‖(−∆)s/2u(t)‖ s0 s L2 for t ∈ (0, T ).	cache/ejde-327.pdf	txt/ejde-327.txt