Existence of weak solutions of an unsteady thermistor problem with p-Laplacian type equation

2016/09/06 by Joachim Naumann, Naumann, Joachim
Computer Science · Mathematics · #35J92 #35K20 #35Q79 #80A20 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1609.01440

openalex publication_date 2016/09/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the existence of weak solutions to an unsteady thermistor system with p-Laplacian type equation for the electrostatic potential, where the electrical conductivity of the thermistor material is a monotone function of the electric field density.

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