id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-1351	Zhang, Zujin; Yuan, Weijun; Yao, Zhengan	Stability of Leray weak solutions to 3D Navier-Stokes equations	2025	25	.pdf	application/pdf	10251	447	81	[(u · ∇)u] · vn} dxdτ = ∫ t 0 ∫ R3 u · ∂τvndxdτ + ∫ R3 u0 · vn(0)dx+ ∫ t 0 ∫ R3 f · vndxdτ, as well as ∫ R3 v(t) · un(t)dx+ ∫ t 0 ∫ R3 {∇v : ∇un + = ∫ t 0 ηn(|τ − σ|)u(σ)dσ, vn(τ) = ∫ t 0 ηn(|τ − σ|)v(σ)dσ (0 ≤ τ ≤ t). then un,vn ∈ C1((0, t); Ḣ1(R3)), and we may test (1.1)1 and (1.3)1 by vn and un respectively, and obtain ∫ R3 u(t) · vn(t)dx+ ∫ t 0 ∫ R3 {∇u : ∇vn +	cache/ejde-1351.pdf	txt/ejde-1351.txt