Godunov variables and convex entropy for relativistic fluid dynamics with bulk viscosity

Olbermann, Heiner
(2022) Journal of Mathematical Physics — Vol. 63, n° 3, p. 31501 (2022)

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Based on the conservation-dissipation formalism proposed by Zhu and collaborators we formulate a general version of the Israel-Stewart theory for relativistic fluid dynamics with bulk viscosity. Our generalization consists in allowing for a wide range of dependence of the entropy density on the bulk viscosity. We show the existence of Godunov-Boillat variables for this model. By known properties of systems possessing such variables, this provides an alternative proof of the recently established existence of solutions for the Israel-Stewart theory locally in time, and a proof that entropy production is positive across weak Lax shocks.
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Olbermann, H. (2022). Godunov variables and convex entropy for relativistic fluid dynamics with bulk viscosity. Journal of Mathematical Physics, 63(3), 31501. https://hdl.handle.net/2078.5/113419 (Original work published 2022)