About new quasilinear model of heat conduction with finite velocity of heat front movement

TL;DR

This paper introduces a novel quasilinear heat conduction model that incorporates finite velocity for heat front movement, addressing limitations of classical models.

Contribution

It presents a new mathematical framework for heat conduction that accounts for finite heat front velocity, improving upon existing models.

Findings

Model successfully describes finite heat front velocity

Provides a basis for more accurate heat transfer simulations

Enhances understanding of non-classical heat conduction

Abstract

A new quasilinear mathematical model of heat conduction with finite velocity of heat front movement is offered.