Causality and stability of the relativistic diffusion equation -: art. no. 023003

This paper examines the mathematical properties of the relativistic diffusion equation. The peculiar solution which Hiscock and Lindblom identified as an instability is shown to emerge from an ill-posed initial value problem. These do not meet the mathematical conditions required for realistic physical problems and cannot serve as an argument against the relativistic hydrodynamics of Landau and Lifshitz.