id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-609	Munoz Rivera, Jaime E.; Baldez, Carlos A. da Costa; Cordeiro, Sebastiao M. S.	Signorini's problem for the Bresse beam model with localized Kelvin-Voigt dissipation	2024	24	.pdf	application/pdf	8696	529	83	− κ0(ζx − lv)x − lK(ζxt − lvt)x + lκ(vx + y + lζ) + lK(vxt + yt + lζt) = 0. (4.6) EJDE-2024/17 SIGNORINI’S PROBLEM FOR BRESSE BEAMS 15 Multiplying (4.4) by vt, (4.5) by wt, and integrating over [0, `], we obtain d dt ‖Um(t)‖2H + ∫ ` `0 K|vxt + yt + lζt|2 +B|yxt|2 +K|ζxt − lvt|2 dx+ ε|ut|2 + ε|zt|2 = −S̃m(`−0 , t)ϕt(` − 0 , t)− M̃m(`−0 , t)ψt(` − 0 , t)− Ñm(`−0 , t)wt(` − 0 , t) (4.7) where Um(t) = − byxx − (Byxt)x + κ(vx + y + lζ) +K(vxt + yt + lζt) = 0, (4.5) ρ1ζtt	cache/ejde-609.pdf	txt/ejde-609.txt