Decay property of regularity-loss type for solutions in elastic solids with voids

Decay Property of Regularity-loss Type for the Euler-maxwell System

Here n > 0 and u ∈ R are the density and the velocity of the electron, respectively, while E ∈ R is the electric field and B ∈ R is the magnetic induction; these are unknown functions of t > 0 and x ∈ R. On the other hand, the pressure p(n) is a given smooth function of n satisfying p(n) > 0 for n > 0, and n∞ > 0 is a constant denoting the ion density. We note that the system (1.1) is regarded ...

On the Time Decay of Solutions for Non-simple Elasticity with Voids

On Stress Analysis for Cracks in Elastic Materials with Voids

The paper deals with classical problem for cracks dislocated in a certain very specific porous elastic material, described by a Cowin-Nunziato model. We propose a method based upon a reducing of stress concentration problem for cracks to some integral equations. By applying Fourier integral transforms the problem is reduced to some integral equations. For the plane-strain problem we operate wit...

Mesoscale Models and Approximate Solutions for Solids Containing Clouds of Voids

On the spatial behavior of solutions for porous elastic solids with quasi-static microvoids

Abstract: The spatial behavior of solutions for the dynamic problem of elasticity with voids is well known. It has been analyzed making use of the usual techniques for hyperbolic differential equations. Here we consider a related but different problem, the problem determined by the dynamic deformations of porouselasticity with porous dissipation when the motion of the microvoids is supposed to ...