In this paper, we investigate the stabilization of a linear Bresse system with one discontinuous local internal viscoelastic damping Kelvin-Voigt type acting on axial force, under fully Dirichlet boundary conditions. First, using general criteria Arendt-Batty, prove strong stability our system. Finally, frequency domain approach combined multiplier method, that energy decays polynomially differ...

In this paper, a nonlinear axially moving string with the Kelvin-Voigt damping is considered. It is proved that the string is stable, i.e., its transversal displacement converges to zero when the axial speed of the string is less than a certain critical value. The proof is established by showing that a Lyapunov function corresponding to the string decays to zero exponentially. It is also shown ...

In the present paper, we define a new representation for Voigt function involving the product of generalized Bessel function and Whittaker function. We first obtain its explicit representation and then we derive partly bilateral and partly unilateral representations for this function. Further, we establish some new and interesting generating functions involving various hypergeometric functions ...

Photon trajectories in incoherent radiation trapping for Doppler, Lorentz, and Voigt line shapes under complete frequency redistribution are shown to be Lévy flights. The jump length (r) distributions display characteristic long tails. For the Lorentz line shape, the asymptotic form is a strict power law r(-3/2), while for Doppler the asymptotic is r(-2)(ln(r)(-1/2). For the Voigt profile, the ...

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Using resonance ultrasound spectroscopy, we measured the monocrystal elastic-stiffness coefficients, the Voigt C ij, of TiB2. With hexagonal symmetry, TiB2 exhibits five independent C ij: C 11, C 33, C 44, C 12, C 13. Using Voigt-Reuss-Hill averaging, we converted these monocrystal values to quasiisotropic (polycrystal) elastic stiffnesses. Briefly, we comment on effects of voids. From the C ij...

In this paper, we compute the closed form expressions of elastodynamic Green functions for three different viscoelastic media with simple type of anisotropy. We follow Burridge et al. [Proc. Royal Soc. of London. 440(1910): (1993)] to express unknown Green function in terms of three scalar functions φi, by using the spectral decomposition of the Christoffel tensor associated with the medium. Th...