In this paper we prove a fundamental estimate for the weak solution of
a degenerate elliptic system:
$\nabla\times [\rho(x)\nabla\times H]=F$, $\nabla\cdot H=0$
in a bounded domain
in $R^3$,… Expand

In this paper we study a degenerate evolution system
$\mathbf H_t +\nabla \times [|\nabla \times \mathbf H|^{p-2}\nabla \times \mathbf H]=\mathbf F$ in a bounded domain as well as its limit as $p\to… Expand

This paper deals with Maxwell's equations with a thermal effect, where the electric conductivity strongly depends on the temperature. It is shown that the coupled system has a global weak solution… Expand

In this paper we study a free boundary problem modeling a
phase-change process by using microwave heating. The mathematical
model consists of Maxwell's equations coupled with nonlinear heat … Expand

In this paper we study the semiconductor system with temperature effect. The electric conductivity in the system is assumed to be temperature-dependent. By taking the Joule heating produced by the… Expand

Abstract:In this paper we study Maxwell's equations with a thermal effect. This system models an induction heating process where the electric conductivity σ strongly depends on the temperature $u$.… Expand