A class of uniformly dissipative symmetric hyperbolic-hyperbolic systems

Motivated by applications in relativistic fluid dynamics, this paper studies a general class of linear sys-tems of partial differential equations in which a second-order symmetric hyperbolic part and a first-order symmetric hyperbolic part interact dissipatively. It shows that corresponding algebraic properties of the two operators induce decay in natural Sobolev spaces, and discusses examples which demonstrate the logical interplay between associated conditions referring to small, large, and all wave numbers, respectively. (C) 2021 Elsevier Inc. All rights reserved.