Non-hyperbolicity of the inviscid Cattaneo–Christov system for compressible fluid flow in several space dimensions

DOI10.1093/qjmam/hbac005zbMath1501.35306arXiv2109.09652OpenAlexW4226082259MaRDI QIDQ5044915

Felipe Angeles

Publication date: 3 November 2022

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.09652

zbMATH Keywords

compressible fluid flowCattaneo-Christov system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Classical and relativistic thermodynamics (80A10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Diffusive and convective heat and mass transfer, heat flow (80A19)

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The Cauchy problem for a quasilinear system of equations with coupling in the linearization ⋮ Well-posedness for the one-dimensional inviscid Cattaneo-Christov system

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