id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-328	Aguilera Contreras, Gabriel; Munoz-Rivera, Jaime E.	Bresse systems with localized Kelvin-Voigt dissipation	2021	14	.pdf	application/pdf	5540	330	82	More precisely, we consider the system ρ1ϕtt − Sx − lN = 0 in Ĩ × (0,+∞), (1.1) −−lK(zx − lv)x − lK(zxt − lvt)x + lκ(vx + y + lz) + lκ̃(vxt + yt + lzt) = 0. (4.5) EJDE-2021/90 BRESSE SYSTEMS 13 Multiplying (4.3) by vt, and (4.4) by wt, and integrating on [0, `], we obtain∫ ` 0 ( ρ1|vt|2 + ρ2|yt|2 + ρ1|zt|2 + b|yx|2 + κ|vx + y + lz|2 +K|zx − lv|2 )	cache/ejde-328.pdf	txt/ejde-328.txt