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This note studies a four-field hyperbolic PDE model that was recently introduced by Bemfica, Disconzi, and Noronha for the pure radiation fluid with viscosity, and asks whether shock waves admit continuous profiles in this description.
C. Eckart: The thermodynamics of irreversible processes. 3: Relativistic theory of the simple fluid
1940
Earlier work this paper cites.
A. H. Taub: Relativistic Rankine-Hugoniot equations
1948
Earlier work this paper cites.
H. Weyl: Shock waves in arbitrary fluids
1949
Earlier work this paper cites.
D. Gilbarg: The existence and limit behavior of the one-dimensional shock layer
1951
Earlier work this paper cites.
P.D. Lax: Hyperbolic systems of conservation laws II
1957
Earlier work this paper cites.
C. Conley, J. Smoller: On the structure of magnetohydrodynamic shock waves
1974
Earlier work this paper cites.
W. Israel: Nonstationary irreversible thermodynamics, a causal relativistic theory
1976
Earlier work this paper cites.
T. Ruggeri, A. Strumia: Main field and convex covariant density for quasilinear hyperbolic systems. Relativistic fluid dynamics
1981
Cited alongside, same era.
A. Majda, R. L. Pego: Stable viscosity matrices for systems of conservation laws
1985
Cited alongside, same era.
H. Freistühler, P. Szmolyan: Existence and bifurcation of viscous profiles for all intermediate magnetohydrodynamic shock waves. SIAM J. Math. Anal. 26
1995
Cited alongside, same era.
F. S. Bemfica, M. M. Disconzi, J. Noronha: General relativistic viscous fluid dynamics
2009
Cited alongside, same era.
H. Freistühler, M. Reintjes, B. Temple: Decay and subluminality of modes of all wave numbers in the relativistic dynamics of viscous and heat conductive fluids
2012
Cited alongside, same era.
C. M. Dafermos: Hyperbolic Conservation Laws in Continuum Physics. Fourth edition. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 325. Springer-Verlag, Berlin, 2016
2016
Later among the works it cites.
F. S. Bemfica, M. M. Disconzi, J. Noronha: Causality and existence of solutions of relativistic viscous fluid dynamics with gravity
2018
Later among the works it cites.
H. Freistühler, B. Temple: Causal dissipation in the relativistic dynamics of barotropic fluids
2018
Later among the works it cites.
P. Kovtun: First-order relativistic hydrodynamics is stable
2019
Later among the works it cites.
H. Freistühler: A class of Hadamard well-posed five-field theories of dissipative relativistic fluid dynamics
2020
Later among the works it cites.
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H. Freistühler, B. Temple: Causal dissipation and shock profiles in the relativistic fluid dynamics of pure radiation
2014
Cited alongside, same era.
H. Freistühler, V. Pellhammer: Existence and bifurcation of shock profiles in dissipative relativistic fluid dynamics
Cited in the paper.
H. Freistühler, V. Pellhammer: Dependence on the background viscosity of solutions to a prototypical nonstrictly hyperbolic system of conservation laws
2020
Later among the works it cites.