For the interrogation of cancellous bone using ultrasound, we undertake a derivation of the time-harmonic, acoustic equations, idealizing the bone as a periodic arrangement of a Kelvin–Voigt viscoelastic porous matrix containing a viscous fluid. Since we are interested in acoustics, rather than filtration, we assume that the fluid is slightly compressible. Moreover, we study the monophasic case...

<p style='text-indent:20px;'>This paper is on the asymptotic behavior of elastic string equation with localized Kelvin-Voigt damping</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ u_{tt}(x, t)-[u_{x}(x, t)+b(x)u_{x, t}(x, t)]_{x} = 0, \; x\in(-1, 1), t>0, $\end{document} </tex-math></disp-formula&...

Blood clot formation is important to prevent blood loss in case of a vascular injury but disastrous when it occludes the vessel. As the mechanical properties of the clot are reported to be related to many diseases, it is important to have a good understanding of their characteristics. In this study, a constitutive model is presented that describes the nonlinear viscoelastic properties of the fi...

We investigate the stabilization of a locally coupled wave equations with only one internal viscoelastic damping Kelvin-Voigt type (see System (1.2)-(1.4)). The main novelty in this paper is that both and coupling coefficients are non smooth (1.5)). First, using general criteria Arendt-Batty, combined an uniqueness result, we prove our system strongly stable. Next, spectrum approach, non-expone...