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.
As was pointed out in Section II, such a constitutive tensor is made up by means of the third moment of f (0)
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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.