6533b7d1fe1ef96bd125cf1f
RESEARCH PRODUCT
On the convexity of Relativistic Hydrodynamics
Juan A. MirallesJosé María MartíIsabel Cordero-carriónJosé María Ibáñezsubject
PhysicsPhysics and Astronomy (miscellaneous)Equation of state (cosmology)Regular polygonFOS: Physical sciencesPerfect fluidDerivativeGeneral Relativity and Quantum Cosmology (gr-qc)System of linear equationsGeneral Relativity and Quantum CosmologyRelativistic hydrodynamic systemConvexityClassical limitConvexityAstronomía y AstrofísicaMathematical physicsdescription
The relativistic hydrodynamic system of equations for a perfect fluid obeying a causal equation of state is hyperbolic (Anile 1989 {\it Relativistic Fluids and Magneto-Fluids} (Cambridge: Cambridge University Press)). In this report, we derive the conditions for this system to be convex in terms of the fundamental derivative of the equation of state (Menikoff and Plohr 1989 {\it Rev. Mod. Phys.} {\bf 61} 75). The classical limit is recovered.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-02-13 |