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A class of Hadamard well-posed five-field theories of dissipative relativistic fluid dynamics

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2020

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https://doi.org/10.1063/1.5135704
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Journal of Mathematical Physics. American Institute of Physics (AIP). 2020, 61(3), 033101. ISSN 0022-2488. eISSN 1089-7658. Available under: doi: 10.1063/1.5135704

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This paper proposes a class of causal formulations for dissipative relativistic fluid dynamics as a hyperbolic five-field system of second-order partial differential equations. The argumentation continues lines of thinking developed in the author’s earlier papers with Temple and generalizes a four-field description that was recently given by Bemfica, Disconzi, and Noronha [Phys. Rev. D 98, 104064 (2018)] for the case of the pure radiation fluid. The Navier–Stokes–Fourier-like models are constructed as perturbations of auxiliary “involutory augmentations” of the Euler equations and shown to be Hadamard well-posed at least at the level of their linearization.

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510 Mathematik

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ISO 690FREISTÜHLER, Heinrich, 2020. A class of Hadamard well-posed five-field theories of dissipative relativistic fluid dynamics. In: Journal of Mathematical Physics. American Institute of Physics (AIP). 2020, 61(3), 033101. ISSN 0022-2488. eISSN 1089-7658. Available under: doi: 10.1063/1.5135704
BibTex
@article{Freistuhler2020-03-01class-49245,
  year={2020},
  doi={10.1063/1.5135704},
  title={A class of Hadamard well-posed five-field theories of dissipative relativistic fluid dynamics},
  number={3},
  volume={61},
  issn={0022-2488},
  journal={Journal of Mathematical Physics},
  author={Freistühler, Heinrich},
  note={Article Number: 033101}
}
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