Dispersion relation in the limit of high frequency for a hyperbolic system with multiple eigenvalues

DOI10.1016/j.wavemoti.2014.03.008zbMath1456.35134OpenAlexW2082372513MaRDI QIDQ1727608

Zbigniew Banach, Wieslaw Larecki, Tommaso Ruggeri

Publication date: 20 February 2019

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

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2014.03.008

zbMATH Keywords

linearizationdispersion relationmultiple eigenvaluehyperbolic systemharmonic waveweak discontinuity

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) First-order nonlinear hyperbolic equations (35L60)

Related Items (6)

Molecular extended thermodynamics: comparison between rarefied polyatomic and monatomic gas closures ⋮ Symmetric form for the hyperbolic-parabolic system of fourth-gradient fluid model ⋮ Dispersion relation governing the propagation of wave pulses in a mixture of interacting longitudinal and transverse phonon gases ⋮ Symmetric forms for hyperbolic‐parabolic systems of multi‐gradient fluids ⋮ Monatomic gas as a singular limit of polyatomic gas in molecular extended thermodynamics with many moments ⋮ Characteristic velocity and dispersion relation of linear waves in extended thermodynamics of a van der Waals gas

Cites Work

• Unnamed Item
• Unnamed Item
• On the evolution law of weak discontinuities for hyperbolic quasi-linear systems
• Dispersion relation in the high frequency limit and non linear wave stability for hyperbolic dissipative systems

This page was built for publication: Dispersion relation in the limit of high frequency for a hyperbolic system with multiple eigenvalues