The Chapman-Enskog relativistic heat-flux law is generically unstable and ill-posed in any evolution frame not aligned with the fluid four-velocity, so rotating fluids cannot avoid the instability.
Any fluid theory which is governed by a set of conservation laws (particle num- ber density, energy and momentum densities, etc) con- stitutes, indeed, a divergence-type theory
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Generic instabilities in the relativistic Chapman-Enskog heat conduction law
The Chapman-Enskog relativistic heat-flux law is generically unstable and ill-posed in any evolution frame not aligned with the fluid four-velocity, so rotating fluids cannot avoid the instability.