  Relativistic dissipative fluid dynamics finds widespread applications in
high-energy nuclear physics and astrophysics. However, formulating a causal and
stable theory of relativistic dissipative fluid dynamics is far from trivial;
efforts to accomplish this reach back more than 50 years. In this review, we
give an overview of the field and attempt a comparative assessment of (at least
most of) the theories for relativistic dissipative fluid dynamics proposed
until today and used in applications.
