On Some Nonstandard Heat Transfer Problems

TL;DR

This paper explores the application of function theory in the unit disk to analyze steady-state heat transfer problems with internal heat sources, offering new mathematical insights into such physical phenomena.

Contribution

It introduces a novel connection between function theory and heat transfer problems with internal sources, expanding the mathematical framework for these issues.

Findings

Established a link between integrable functions in the unit disk and heat transfer models.

Derived new mathematical results applicable to heat transfer with internal heat sources.

Enhanced understanding of steady-state heat distribution through complex analysis methods.

Abstract

In this article we are making an attempt to connect the theory of functions integrable in the unit disk to the problems of steady-state heat transfer in cases when the heat source is inside the disk.