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On Hyperbolic "Theories" of Relativistic Dissipative Fluids

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arxiv gr-qc/0103112 v1 pith:UXEQJPJ7 submitted 2001-03-30 gr-qc

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keywords fluidshyperbolictheoriesarguedcasedissipationdissipativeleast
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It is argued that, at least for the case of Navier-Stokes fluids, the so-called hyperbolic theories of dissipation are not viable.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Lorentz-boosted diffusion: initial value formulation and exact solutions

    math-ph 2026-02 conditional novelty 7.0 of 10

    Lorentz-boosted diffusion becomes a well-posed initial-value problem on a band-limited (Paley-Wiener) function space, with an exact closed-form Shannon-Whittaker Green function.

  2. The diffusion equation is compatible with special relativity

    gr-qc 2026-01 conditional novelty 6.0 of 10

    A relativistic kinetic theory (Vlasov–Fokker–Planck) has an exact subsector whose particle density evolves by Fick's law at all wavelengths, reconciling diffusion with causality and stability.

  3. Constraint evolution in first-order viscous relativistic fluids

    gr-qc 2025-06 conditional novelty 6.0 of 10

    The BDNK conformal viscous fluid's full constraint set satisfies a homogeneous strongly-hyperbolic system, guaranteeing constraint preservation, and 1D numerical evolutions confirm stability.

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