Identifiability of Electrical and Heat Transfer Parameters Using Coupled Boundary Measurements

TL;DR

This paper demonstrates that coupled boundary measurements can uniquely identify electrical and thermal parameters within a domain, advancing inverse problem techniques in heat and electrical conductivity.

Contribution

It introduces a hybrid method that uses coupled boundary data to uniquely determine multiple physical parameters in a domain, up to a boundary-fixing diffeomorphism.

Findings

Unique determination of electrical conductivity, thermal conductivity, and heat capacity-density product.

Method applies to bounded planar domains.

Provides theoretical proof of identifiability.

Abstract

In this paper, we show that a hybrid method using coupled boundary measurements can determine electrical conductivity, thermal conductivity, and the product of heat capacity and heat density within a bounded domain on the plane uniquely up to a boundary-fixing diffromorphism.