On the existence of weak solutions of a thermistor system with p-Laplacian type equation: the unsteady case

TL;DR

This paper investigates the existence of weak solutions for an unsteady thermistor system involving a p-Laplacian type equation for electrostatic potential, contributing to the mathematical understanding of thermistor models.

Contribution

It establishes the existence of weak solutions for a thermistor system with a p-Laplacian type equation in the unsteady case, advancing theoretical analysis in this area.

Findings

Proved existence of weak solutions for the system.

Extended mathematical framework for thermistor models.

Addressed challenges with p-Laplacian type equations.

Abstract

We consider an unsteady thermistor system with a p-Laplace type equation for the electrostatic potential.