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Nonlinear Constraints on Relativistic Fluids Far From Equilibrium

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arxiv 2005.11632 v1 pith:B5436YR4 submitted 2020-05-24 hep-th gr-qcmath-phmath.MPnucl-thphysics.flu-dyn

classification hep-thgr-qcmath-phmath.MPnucl-thphysics.flu-dyn
keywords constraintsequilibriumdynamicsfluidholdnonlineartheoriesaccount
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New constraints are found that must necessarily hold for Israel-Stewart-like theories of fluid dynamics to be causal far away from equilibrium. Conditions that are sufficient to ensure causality, local existence, and uniqueness of solutions in these theories are also presented. Our results hold in the full nonlinear regime, taking into account bulk and shear viscosities (at zero chemical potential), without any simplifying symmetry or near-equilibrium assumptions. Our findings provide fundamental constraints on the magnitude of viscous corrections in fluid dynamics far from equilibrium.

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Cited by 4 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...

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  3. A Resummed Hydrodynamic Description of Relativistic Heavy-ion Collisions

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    A resummed hydrodynamic scheme with tunable caps on shear and bulk viscous stress is introduced; it reduces to standard second-order hydrodynamics for small stresses and is used to quantify flow-observable uncertainti...

  4. Mapping Sparse Triangular Solves to GPUs via Fine-grained Domain Decomposition

    cs.PF 2025-08 unverdicted novelty 5.0 of 10

    A domain-decomposition scheme sizes subdomains to GPU shared memory to remove synchronization from sparse triangular solves, reporting 10.7x and 3.2x speedups for triangular solves and ILU0-BiCGSTAB on the AMD MI210.

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