Generic stability of dissipative non-relativistic and relativistic fluids

Abstract

The linear stability of the homogeneous equilibrium of non-relativistic fluids with mass flux and special relativistic fluids with the absolute value of the energy vector as internal energy is investigated. It is proved that the equilibrium is asymptotically stable in both cases due to purely thermodynamic restrictions; the only requirements are the thermodynamic stability and the nonnegativity of the transport coefficients.

22 pages

References in corpus (9)

• Stability and Causality in relativistic dissipative hydrodynamics
• Causal Viscous Hydrodynamics for Central Heavy-Ion Collisions
• Nonextensive hydrodynamics for relativistic heavy-ion collisions
• Dissipative effects from transport and viscous hydrodynamics
• Relativistic hydrodynamics - causality and stability
• Stable First-order Particle-frame Relativistic Hydrodynamics for Dissipative Systems
• Shock propagation and stability in causal dissipative hydrodynamics
• Causal relativistic hydrodynamics for viscous fluids
• A thermodynamic approach to the relaxation of viscosity and thermal conductivity

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