id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-547	Mansouri, Sabeur; Tebou, Louis	Stabilization of coupled thermoelastic Kirchhoff plate and wave equations	2020	16	.pdf	application/pdf	6167	373	79	Consider the coupled thermoelastic Kirchhoff plate/wave system ytt − γ∆ytt + a∆2y + α∆θ + µz = 0 in Ω× (0,+∞), θt − σ∆θ − β∆yt = 0 in Ω× (0,+∞), ztt − η∆z + µy = 0 in Ω× (0,+∞), y = ∂νy = 0, θ = z = 0, on Γ× (0,+∞), y(x, 0) = y0, yt(x, 0) = y1, θ(x, 0) = θ0 in Ω, z(x, 0) = z0, zt(x, 0) = z1 in Ω, (1.1) where a, η, γ, σ are positive physical constants representing respectively, the flexural stiffness of the plate, wave speed, rotational force constant, and thermal conductiv- ity, while µ denotes the coupling parameter, and is a nonzero real number. We introduce the Hilbert space over the field C of complex numbers Hγ := H2 0 (Ω)×H1 0 (Ω)× L2(Ω)×H1 0 (Ω)× L2(Ω), EJDE-2020/121 THERMOELASTIC KIRCHHOFF PLATE AND WAVE EQUATIONS 3 equipped with the norm ‖U‖2Hγ := a‖∆u‖2 + γ‖∇v‖2 + ‖v‖2 + α β ‖θ‖2 + η‖∇y‖2 + ‖z‖2 + 2µ ∫ Ω Re(uy)dΩ, (1.3) for all U = (u, v, θ, y, z) ∈ Hγ .	cache/ejde-547.pdf	txt/ejde-547.txt