Search Results

It is known that in the case that several constitutive tensors fail to be positive definite the system of the thermoelasticity could become unstable and, in certain cases, ill-posed in the sense of Hadamard. In this paper, we consider the Moore–...

An initial-boundary value problem for a viscoelastic wave equation subject to a strong time-localized delay in a Kelvin--Voigt-type material law is considered. After transforming the equation to an abstract Cauchy problem on the extended phase space, a ...

In this paper we study the well-posedness and the asymptotic stability of a one-dimensional thermoelastic Bresse system, where the heat conduction is given by Cattaneo's law effective in the shear angle displacements. We establish the well-posedness of ...

In this work, we calculate the convergence rate of the finite difference approximation for a class of nonlocal fracture models. We consider two point force interactions characterized by a double well potential. We show the existence of a evolving ...

We present,a new approach for predicting stable equilibrium shapes of two-dimensional crystalline islands on flat substrates, as commonly occur through solid-state dewetting of thin films. The new theory is a generalization of the widely used Winterbottom ...

The stability of thin electrically conducting viscoelastic fluid film flowing down on a non-conducting inclined plane in the presence of electromagnetic field is investigated under induction-free approximation. ...

We consider the coupled linear system $$\left\{\begin{array}{ll} \partial_{tt} u + \partial_{xxxx}u + \gamma \partial_t u + k(u - v) + h\partial_{t} (u-v) = 0\\\epsilon \partial_{tt} v - \partial_{xx}v - k(u - v) - h\partial_{t} (u - v) = 0\end{...

In this paper we study the dynamics of an elastic bar undergoing phase transitions. It is modeled by two regularizations of the equations of nonlinear elastodynamics with a nonconvex energy. We estimate the difference between solutions to the two ...

We study the energy decay of the solutions of a linear homogeneous anisotropic porous thermoelastic system in the context of Green and Naghdi model of type II with the following boundary condition with memory for the displacement $${{\bf T}(x,t)n(...

The capability of piezoelectric materials to directly convert from electrical energy into mechanical energy and vice versa is mathematically described by the piezoelectric tensor, which couples the hyperbolic partial differential equations of elastic ...

Stability of solitary waves in a thin inextensible and unshearable rod of infinite length is studied. Solitary-wave profile of the elastica of such a rod without torsion has the form of a planar loop and its speed depends on a tension in the rod. ...

A stability analysis is presented for the analytic solution of the adjoint equations corresponding to semiexplicit index-3 differential-algebraic equations (DAE) that have a more general form than Hessenberg, particularly index-3 DAE that arise in the ...