Stable and causal relativistic Navier-Stokes equations
Raphael E. Hoult, Pavel Kovtun
Abstract
A bstract 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.
Topics & Concepts
PhysicsTensor (intrinsic definition)Classical mechanicsCurrent (fluid)Mathematical physicsCausality (physics)Particle (ecology)Relativistic particleField equationCausal structureTheoretical physicsStability (learning theory)Equations of motionConserved currentQuantum electrodynamicsMaxwell's equationsConservation lawNavier-Stokes equation solutionsHigh-Energy Particle Collisions ResearchPulsars and Gravitational Waves Research