Dispersion relation governing the propagation of wave pulses in a mixture of interacting longitudinal and transverse phonon gases

DOI10.1016/J.WAVEMOTI.2015.05.008zbMath1467.78003OpenAlexW1128040084MaRDI QIDQ2420997

Zbigniew Banach

Publication date: 7 June 2019

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2015.05.008

zbMATH Keywords

plane harmonic wavelongitudinal modephonon-gas mixturepulse-like solutionsix-moment modeltransversal mode

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Magnetohydrodynamics and electrohydrodynamics (76W05) Waves and radiation in optics and electromagnetic theory (78A40)

Cites Work

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• Dispersion relation in the high frequency limit and non linear wave stability for hyperbolic dissipative systems
• Dispersion relation in the limit of high frequency for a hyperbolic system with multiple eigenvalues
• Moment model and boundary conditions for energy transport in the phonon gas
• Model for Lattice Thermal Conductivity at Low Temperatures
• Thermal Conductivity of Perfect Dielectric Crystals in the Absence of Umklapp Processes

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