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A theory is developed for binary mixtures of viscoelastic materials. The basic equations of a nonlinear theory of heat conducting viscoelastic mixtures are derived in Lagrangian description ...
is concerned with a special case of a linear theory for binary mixtures of porous viscoelastic materials. The theory of viscoelastic mixtures has been investigated by several authors (see, for instance, [6–8, 10 ...
We consider a binary mixture system with local Kelvin–Voigt damping in one of the components of the mixture . The well‐posedness and the polynomial stability are proved by the semigroup theory ...
are immediate consequences. Keywords Viscoelastic mixture · Positive internal energy · Positive dissipation · Uniqueness · Existence · Analyticity 1 Introduction The continuum theory of ...
. Moreover, Beevers [5] has already studied the HSlder stability (in the sense of John [6]) of classical solutions in the linear dynamic theory of anisotropic viscoelasticity of relaxation type. The proof ...
. According to Kelvin–Voigt theory , the realistic behavior of the structure is simulated by considering the viscoelastic properties. The structure is assumed resting on viscoelastic medium which is simulated ...
. Keywords. Swelling porous problem, Memory term, General decay. 1. Introduction Towards the end of the nineteenth century, Eringen [1] advanced a continuum theory for a mixture of elastic solids, viscous fluid ...
) and modified couple stress theory (MCST). The results are compared with the obtained results by the other literature to examine the accuracy of the present formulation. The dynamic stability of the double-bonded ...
convection and the oscillatory convection in a binary viscoelastic fluid mixture in a porous medium under the effect of helical force. Nonlinear stability theory based on the minimum representation ...
We used linear stability theory based on the normal mode decomposition technique and nonlinear stability theory based on the minimum representation of double Fourier series to study the criterion ...
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