The existence of a weak solution for the time dependent thermistor problem with degenerate
thermal conductivity is proved in this work. The main difficulties of this problem lies on the …

We perform some 3D numerical experiments for the approximation of the solutions to a bead
type thermistor problem. We consider the case of a diagonal anisotropic diffusion matrix …

In this work, we show the existence of a capacity solution for a nonlinear coupled parabolic–
elliptic system in inhomogeneous anisotropic Orlicz-Sobolev spaces without assuming the Δ …

The existence of global weak solutions to the degenerate problem describing Joule's
heating in a current and heat conductive medium is proved via the Galerkin method. The …

The aim of this paper is to show the existence of a capacity solution to a degenerate
perturbed system involving an equation of parabolic type and an equation of elliptic type …

We study a new model for the thermistor problem that consists of a system of dynamic
thermoelasticity equations of displacement and a stationary charge conservation equation of …

We shall give the existence of a capacity solution to a nonlinear elliptic coupled system,
whose unknowns are the temperature inside a semiconductor material, u, and the electric …

A partial regularity theorem is established for a particular class of weak solutions to the
system∂ u/∂ t− div (K (u)▽ u)= σ (u)¦▽ ϕ¦ 2, div (σ (u)▽ ϕ)= 0 on a bounded domain in RN …

The paper studies the evolution of the thermomechanical and electric state of a
thermoviscoelastic thermistor that is in frictional contact with a reactive foundation. The …

The existence of a weak solution to a dynamic model for a thermistor, which takes into
account the thermoelastic properties of the device, is established. The model consists of a …