A note on the delayed heat equation: instability with respect to initial data
type: Item
instance of: scholarly article
title: A note on the delayed heat equation: instability with respect to initial data
zbMATH Open document ID: 1258.80002
author: Weizhong Dai
author: Ronald E. Mickens
author: P. M. Jordan
published in: Mechanics Research Communications
publication date: 2013-03-05T00:00:00Z
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 35Q79
zbMATH DE Number: 6141308
zbMATH Keywords: delayed heat equation
zbMATH Keywords: single and dual phase lag models
zbMATH Keywords: Laplace transform
zbMATH Keywords: instability
zbMATH Keywords: Lambert W-function
MaRDI profile type: Publication
full work available at URL: j.mechrescom.2008.04.001
OpenAlex ID: W2057281446
cites work: Q3846707
cites work: On the Lambert \(w\) function
cites work: Continuous dependence on the relaxation time and modelling, and unbounded growth, in theories of heat conduction with finite propagation speeds
cites work: A re-examination of the basic postulates of thermomechanics
cites work: Q5420988
cites work: Growth, decay and bifurcation of shock amplitudes under the type-II flux law
cites work: Heat waves
cites work: Q2725515
cites work: Q3920121
cites work: Q4274312
cites work: Qualitative aspects in dual-phase-lag heat conduction
cites work: Notable physical anomalies manifested in non-Fourier heat conduction under the dual-phase-lag model
cites work: Comparison of the solutions of a phase-lagging heat transport equation and damped wave equation
cites work: Dynamic Response of Cables Under Negative Tension: an Ill-Posed Problem
cites work: Linear thermoelasticity, second sound and the entropy inequality
cites work: Q3994494
DOI: 10.1016/J.MECHRESCOM.2008.04.001
description: scientific article; zbMATH DE number 6141308