A weakly coupled system of $p$-Laplace type in a heat conduction problem
Morteza Fotouhi, Mohammad Safdari, Henrik Shahgholian
TL;DR
This paper investigates the temperature distribution in a heat conduction system modeled by a p-Laplace type equation, focusing on the free boundary that arises in the process.
Contribution
It introduces a weakly coupled p-Laplace system to analyze free boundary problems in heat conduction.
Findings
Characterization of free boundary behavior
Existence results for the system
Insights into temperature distribution patterns
Abstract
We study temperature distribution in a heat conducting problem, for a system of p-Laplace equation, giving rise to a free boundary.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Numerical methods in inverse problems · advanced mathematical theories