6 papers · 1 filter
Boundary Stabilization of Quasilinear Maxwell Equations
Michael Pokojovy, Roland Schnaubelt
We investigate an initial-boundary value problem for a quasilinear nonhomogeneous, anisotropic Maxwell system subject to an absorbing boundary condition of Silver & Müller type in…
Long-Time Behavior of Quasilinear Thermoelastic Kirchhoff-Love Plates with Second Sound
Irena Lasiecka, Michael Pokojovy, Xiang Wan
We consider an initial-boundary-value problem for a thermoelastic Kirchhoff & Love plate, thermally insulated and simply supported on the boundary, incorporating rotational inertia…
Exponential Decay of Quasilinear Maxwell Equations with Interior Conductivity
Irena Lasiecka, Michael Pokojovy, Roland Schnaubelt
We consider a quasilinear nonhomogeneous, anisotropic Maxwell system in a bounded smooth domain of with a strictly positive conductivity subject to the boundary co…
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…
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…
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…