On the propagation of temperature-rate waves and traveling waves in rigid conductors of the Graffi-Franchi-Straughan type

DOI10.1016/j.matcom.2020.01.017OpenAlexW3005138474MaRDI QIDQ1998049

Sandra Carillo, Pedro M. Jordan

Publication date: 6 March 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.05355

zbMATH Keywords

traveling wave solutionsLambert \(W\)-functionMaxwell-Cattaneo lawtemperature-rate wavesGraffi-Franchi-Straughan conductors

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) Representations of solutions to partial differential equations (35Cxx) Partial differential equations (35-XX) Incompressible inviscid fluids (76Bxx)

Related Items (4)

Jordan-Cattaneo waves: analogues of compressible flow ⋮ Thermal convection in a Brinkman-Darcy-Kelvin-Voigt fluid with a generalized Maxwell-Cattaneo law ⋮ Applied scientific computing XV: innovative modeling and simulation in sciences ⋮ Second-sound beyond Maxwell-Cattaneo: nonlocal effects in hyperbolic heat transfer at the nanoscale

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Acoustic waves in a Cattaneo-Christov gas
• A derivation of the Maxwell-Cattaneo equation from the free energy and dissipation potentials
• Heat waves.
• On the propagation of second-sound in linear and nonlinear media: results from Green-Naghdi theory
• On the thermodynamics of second sound in dielectric crystals
• Waves of discontinuity and sinusoidal waves in the theory of second sound in solids
• Continuous dependence on the relaxation time and modelling, and unbounded growth, in theories of heat conduction with finite propagation speeds
• On the Lambert \(w\) function
• On frame-indifferent formulation of the Maxwell-Cattaneo model of finite-speed heat conduction
• Jump relations and discontinuity waves in conductors with memory
• Growth and decay of acoustic acceleration waves in Darcy-type porous media
• Stability and Wave Motion in Porous Media
• Heat waves
• An Introduction to Nonlinear Partial Differential Equations, Second Edition

This page was built for publication: On the propagation of temperature-rate waves and traveling waves in rigid conductors of the Graffi-Franchi-Straughan type