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Stabilization of the Viscoelastic Wave Equation with Variable Coefficients and a Delay Term in Nonlocal Boundary Feedback
In this paper, we investigate the viscoelastic wave equation with variable coefficients and a delay, which is subject to nonlinear and nonlocal...
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A mixed finite element approach for a factional viscoelastic wave propagation in-time-domain
In this paper, we present a numerical approximation of fractional order viscoelastic wave equation in the 2D case. These viscoelastic models are...
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On wave dispersion of rotating viscoelastic nanobeam based on general nonlocal elasticity in thermal environment
The present research focuses on the analysis of wave propagation on a rotating viscoelastic nanobeam supported on the viscoelastic foundation which...
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Initial boundary value problem for a viscoelastic wave equation with Balakrishnan–Taylor dam** and a delay term: decay estimates and blow-up result
In this paper, we study the initial boundary value problem for the following viscoelastic wave equation with Balakrishnan–Taylor dam** and a delay...
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Dynamics properties for a viscoelastic Kirchhoff-type equation with nonlinear boundary dam** and source terms
This work is devoted to studying a viscoelastic Kirchhoff-type equation with nonlinear boundary dam**-source interactions in a bounded domain....
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Wave Dynamics of a Gas Bubble Covered with a Hyperelastic Shell in a Viscoelastic Liquid
AbstractA modified Rayleigh–Plesset equation that takes into account the radial oscillations of a gas bubble covered with a hyperelastic shell and...
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Optimal Decay Result for Wave Equations with Frictional Versus Viscoelastic Dam**
In this paper, we consider a wave equation with frictional dam** and viscoelastic dam** acting simultaneously and complementarily in the domain,...
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Decay estimate in a viscoelastic plate equation with past history, nonlinear dam**, and logarithmic nonlinearity
In this article, we consider a viscoelastic plate equation with past history, nonlinear dam**, and logarithmic nonlinearity. We prove explicit and...
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Viscoelastic plate equation with variable exponents: existence and blow-up
A nonlinear viscoelastic plate equation with variable exponents have been discussed in the present paper. Under various suitable condition on...
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Well-posedness and stability for a viscoelastic Petrovsky equation with a localized nonlinear dam**
In this paper, we consider a viscoelastic Petrovsky equation with localised nonlinear dam** in bounded domain. The nonlinear dam** is effective...
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Simulation of the Mechanical Wave Propagation in a Viscoelastic Media With and Without Stiff Inclusions
The contribution focuses on the numerical simulation of wave propagation in an array of solid inclusions regularly distributed in a viscoelastic...
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Optimal convergence analysis of the virtual element methods for viscoelastic wave equations with variable coefficients on polygonal meshes
The objective of this work is to develop a conforming virtual element method for viscoelastic wave equations with variable coefficients on polygonal...
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Asymptotic Behaviour of the Eenergy to the Viscoelastic Wave Equation with Localized Hereditary Memory and Supercritical Source Term
We are concerned with the well-posedness of solutions as well as the asymptotic behaviour of the energy related to the viscoelastic wave equation...
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Stabilization and Blow-up in an Infinite Memory Wave Equation with Logarithmic Nonlinearity and Acoustic Boundary Conditions
In this paper, the authors consider the stabilization and blow up of the wave equation with infinite memory, logarithmic nonlinearity and acoustic...
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Supercloseness analysis of a stabilizer-free weak Galerkin finite element method for viscoelastic wave equations with variable coefficients
In this article, we are concerned about a stabilizer-free weak Galerkin (SFWG) finite element method for approximating a second-order linear...
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Diffraction of Harmonic Shear Waves on an Elliptical Cavity Located in a Viscoelastic Medium
AbstractThe problem of diffraction of harmonic shear waves on an elliptical cylindrical cavity located in a viscoelastic medium is considered. The...
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Asymptotic behavior of solutions for a nonlinear viscoelastic higher-order p(x)-Laplacian equation with variable-exponent logarithmic source term
This study aims for the global existence and asymptotic stability of solutions for a class of nonlinear viscoelastic higher-order p ( x )-Laplacian...
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Blow-Up Results for Viscoelastic Wave Equations with Dam** Terms on Stratified Groups
In this paper, by means of Poincáre and Folland–Stein inequalities and Green’s identities for the sub-Laplacian on stratified Lie groups, we prove...