In this paper we study the asymptotic behavior of a class of linear dissipative integral differential equations utt(t)+Au(t)− ∫ ∞ 0 g(s) A u(t−s)ds = 0.We show that the solution decays and the decay rate is optimal. © 2010 Elsevier Ltd. All rights reserved.

We study the stability of weakly coupled and partially damped systems by means of Riesz basis approach in higher dimension spaces. We propose a weaker distributed damping that compensates the behaviour of the eigenvalues of the system, therefore gives the optimal polynomial energy decay rate for smooth initial data.

We consider a heat conducting compressible viscous fluid at rest in a rigid container and show that the thermal and the kinetic energy of arbitrary disturbances of the rest state eventually decays. REsuME. On considere un fluide compressible, visqueux et conducteur de la chaleur au repos dans un reservoir rigide. On montre que l'energie thermique et cinetique de perturbations arbitraires est am...

Sequential three-body decay proceeds via spatially confined quasi-stationary twobody configurations. Direct three-body decay populates the three-body continuum without intermediate steps. The relative importance of these decay modes is discussed in a schematic model employing only Coulomb or centrifugal barrier potentials. Decisive dimensionless charge, mass and energy ratios are derived. Seque...

By the use of a simple phenomenological string model, the energy lost by the top quark through nonperturbative fragmentation effects before its weak decay is computed. This energy lost is in first approximation proportional to the rate between the decay time and the hadronization time of the top as measured in the center-of-mass frame of the top and its color partner. Precise computations of th...