3 papers
math.AP2018
On a Kelvin-Voigt Viscoelastic Wave Equation with Strong Delay
Andrii Anikushyn, Anna Demchenko, Michael Pokojovy
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. Transforming the eq…
math.AP2018
Global Well-Posedness and Exponential Stability for Heterogeneous Anisotropic Maxwell's Equations under a Nonlinear Boundary Feedback with Delay
Andrii Anikushyn, Michael Pokojovy
We consider an initial-boundary value problem for the Maxwell's system in a bounded domain with a linear inhomogeneous anisotropic instantaneous material law subject to a nonlinear…
math.AP2016
Multidimensional Thermoelasticity for Nonsimple Materials -- Well-Posedness and Long-Time Behavior
Andrii Anikushyn, Michael Pokojovy
An initial-boundary value problem for the multidimensional type III thermoelaticity for a nonsimple material with a center of symmetry is considered. In the linear case, the well-p…