On the non-linear Maxwell-Cattaneo equation with non-constant diffusivity: Shock and discontinuity waves
type: Item
instance of: scholarly article
title: On the non-linear Maxwell-Cattaneo equation with non-constant diffusivity: Shock and discontinuity waves
zbMATH Open document ID: 1154.80342
author: Andrea Pietro Reverberi
author: Patrizia Bagnerini
author: Luigi Maga
author: Agostino Giacinto Bruzzone
published in: International Journal of Heat and Mass Transfer
publication date: 2008-11-20T00:00:00Z
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 35L60
zbMATH DE Number: 5369377
zbMATH Keywords: non-Fickian diffusion
zbMATH Keywords: non-Fourier heat conduction
zbMATH Keywords: hyperbolic partial differential equations
zbMATH Keywords: finite-differences
MaRDI profile type: Publication
full work available at URL: j.ijheatmasstransfer.2008.01.039
OpenAlex ID: W2006134030
cites work: Stability and stationary convection induced by gravity and centrifugal forces in a rotating porous layer distant from the axis of rotation
cites work: Non-Fourier effects on transient temperature response in semitransparent medium caused by laser pulse
cites work: Comparison of the solutions of a phase-lagging heat transport equation and damped wave equation
cites work: Comparison of the solutions of a phase-lagging heat transport equation and damped wave equation with a heat source
cites work: On modified Black-Scholes equation
cites work: Analysis of hyperbolic heat conduction in a semi-infinite slab with surface convection
cites work: Shock-capturing methods for free-surface shallow flows
cites work: Positivity-preserving, flux-limited finite-difference and finite-element methods for reactive transport
cites work: Finite Element Approaches to Non-classical Heat Conduction in Solids
cites work: Shock capturing, level sets, and PDE based methods in computer vision and image processing: A review of Osher's contributions
cites work: Compact finite difference schemes with spectral-like resolution
cites work: A positivity‐preserving nonstandard finite difference scheme for the damped wave equation
cites work: Numerical solution of moving boundary problems in diffusion processes with attractive and repulsive interactions
cites work: Numerical simulation for nonlinear thermal wave
cites work: Discontinuity waves, shock formation and critical temperature in crystals
cites work: Q5785591
cites work: Q3698196
cites work: Q4701082
cites work: Q4764504
cites work: A general theory of heat conduction with finite wave speeds
cites work: Growth/decay of transverse acceleration waves in nonlinear elastic media
cites work: Growth and decay of shock and acceleration waves in a traffic flow model with relaxation
cites work: Growth and decay of acoustic acceleration waves in Darcy-type porous media
DOI: 10.1016/J.IJHEATMASSTRANSFER.2008.01.039
description: scientific article; zbMATH DE number 5369377