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Stable and causal relativistic Navier-Stokes equations

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arxiv 2004.04102 v2 pith:PFOYIJMS submitted 2020-04-07 hep-th gr-qchep-ph

classification hep-thgr-qchep-ph
keywords equationscausalhydrodynamicnavier-stokesrelativisticstablevariablesadopts
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Relativistic Navier-Stokes equations express the conservation of the energy-momentum tensor and the particle number current in terms of the local hydrodynamic variables: temperature, fluid velocity, and the chemical potential. We show that the viscous-fluid equations are stable and causal if one adopts suitable non-equilibrium definitions of the hydrodynamic variables.

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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. Nonlinear Causality and Strong Hyperbolicity of Einstein-Israel-Stewart Theories of Transient Relativistic Fluid Dynamics

    nucl-th 2026-07 accept novelty 8.0 of 10

    Necessary and sufficient algebraic inequalities fully characterize nonlinear causality of general Israel-Stewart bulk-plus-shear theories, with sufficient conditions for strong hyperbolicity and constraint propagation...

  2. Superradiant amplification by rotating viscous compact objects

    gr-qc 2025-06 conditional novelty 7.0 of 10

    Using causal BDNK hydrodynamics, the authors derive coupled gravitational-wave and viscous-mode equations for slowly rotating stars and find superradiant amplification at low frequencies.

  3. Effective Field Theories for Material Media

    hep-th 2026-07 accept novelty 4.0 of 10

    Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.

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