The objective of this paper is to establish the unconditional stability results Euler implicit/explicit scheme for viscoelastic Kelvin–Voigt model with a scalar auxiliary variable. We first reformulate into an equivalent system three variables. standard Galerkin finite element method used approximate spatial discretization. Then adopted discrete considered problem, constant coefficient algebrai...

In this paper, the inverse problem for a linear system of Kelvin-Voigt equations with memory describing dynamics viscoelastic incompressible non-newtonian fluid is considered. under consideration, along solution (velocity and pressure) equation, it also required to find unknown (intensity external force) on right side, which depends only time variable. Definitions weak strong solutions are give...

Abstract We present a model for convection in Kelvin–Voigt fluid of order one when the layer is heated from below and simultaneously salted below, problem competitive double diffusion since heating promotes instability, but salting stabilizing. The instability surface threshold calculated this has complex shape. parameters play an important role acting as stabilizing agents oscillatory type. Qu...

The damping vibration characteristics of magneto-electro-viscoelastic (MEV) nanobeam resting on viscoelastic foundation based on nonlocal strain gradient elasticity theory (NSGT) is studied in this article. For this purpose, by considering the effects of Winkler-Pasternak, the viscoelastic medium consists of linear and viscous layers. with respect to the displacement field in accordance with th...

<p style='text-indent:20px;'>The purpose of this paper is to investigate the stabilization a locally coupled wave equations with non smooth localized viscoelastic damping Kelvin-Voigt type and time delay. Using general criteria Arendt-Batty, we show strong stability our system in absence compactness resolvent. Finally, using frequency domain approach combined multiplier method, prove poly...