id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-81	huy, Le Thi	Asymptotic behavior of solutions to 3D Kelvin-Voigt-Brinkman-Forchheimer equations with unbounded delays	2022	18	.pdf	application/pdf	6719	404	84	− φ(θ‖ ≤ ‖Pmφ(θm) It is easy to check that if u, v, w ∈ V , then b(u, v, w) = −b(u,w, v), and in particular, b(u, v, v) = 0, ∀u, v ∈ V. (2.2) Using Hölder’s inequality and Ladyzhenskaya’s inequality, we can choose the best positive constant c0 such that |b(u, v, w)| ≤ c0‖u‖‖v‖|w|1/2‖w‖1/2, ∀u, v, w ∈ V. (2.3) From (2.3) and using Poincaré’s inequality (2.1), we obtain |b(u, v, w)| ≤ c0λ−1/4 1 ‖u‖‖v‖‖w‖, ∀u, v, w ∈ V. (2.4) 4 L. T. THUY EJDE-2022/07 We will assume that f ∈ L2(0, T ;V ′).	cache/ejde-81.pdf	txt/ejde-81.txt
