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...

Traveling wave solutions of the Oskolkov equation, which is a model describing dynamics an 
 incompressible visco-elastic Kelvin-Voigt fluid, are investigated in this study. Complex trigonometric and complex hyperbolic equation obtained using sub method. In these solutions, graphs presented by assigning special values to parameters. The graphics drawn with computer package program. Impleme...

Abstract It is shown that the solution to boundary - initial value problem for a Kelvin–Voigt fluid of order one depends continuously upon parameters, viscosity, and viscoelastic coefficients. Convergence also shown.

In this paper we present results on existence and regularity of integral representations of feedback operators arising from hyperbolic PDE control problems. The existence of such representations is important for the design of low order compensators and for the placement of sensors. This paper contains results which apply to problems with spatial domains in N dimensions. Numerical examples are i...

Abstract: We study optimal control of systems governed by a coupled system of hemivariational inequalities, modeling a dynamic thermoviscoelastic problem, which describes frictional contact between a body and a foundation. We employ the Kelvin-Voigt viscoelastic law, include the thermal effects and consider the general nonmonotone and multivalued subdifferential boundary conditions. We consider...