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A new approach is described to help improve the foundations of relativistic viscous fluid dynamics and its coupling to general relativity.
C. Eckart, Physical Review 58
1940
Earlier work this paper cites.
T. G. Cowling, Mon. Not. R. Astron. Soc. 101
1941
Earlier work this paper cites.
A. Lichnerowicz, Théories Relativistes de la Gravitation et de l’Électromagnétism (Masson et Cie, Paris, 1955)
1955
Earlier work this paper cites.
Y. Fourès-Bruhat, Bull. Soc. Math. France 86
1958
Earlier work this paper cites.
G. Pichon, Ann. Inst. H. Poincaré Sect. A (N.S.) 2
1965
Earlier work this paper cites.
A. Lichnerowicz, C. R. Acad. Sci. Paris 260
1965
Earlier work this paper cites.
Y. Choquet-Bruhat, J. Math. Pures Appl. (9) 45
1966
Earlier work this paper cites.
J. Leray and Y. Ohya, Math. Ann. 170
1967
Earlier work this paper cites.
A. Lichnerowicz, Relativistic Hydrodynamics and Magnetohydrodynamics: Lectures on the Existence of Solutions (W. A. Benjamin, New York, 1967)
1967
Earlier work this paper cites.
S. Chapman and T. G. Cowling, The mathematical theory of non-uniform gases, 3rd edition (Cambridge University Press, 1970)
1970
Earlier work this paper cites.
J. M. Stewart (1972)
1972
Earlier work this paper cites.
S. Weinberg, Gravitation and Cosmology: principles and applications of the General Theory of Relativity (John Wiley & Sons, Inc., 1972)
1972
Earlier work this paper cites.
D. Bancel, Ann. Inst. H. Poincare Sect. A (N.S.) 18
1973
Earlier work this paper cites.
D. Bancel and Y. Choquet-Bruhat, Commun. Math. Phys. 33
1973
Earlier work this paper cites.
S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space-Time (Cambridge Monographs on Mathematical Physics) (Cambridge University Press, 1975)
1975
Earlier work this paper cites.
W. Israel, Ann. Phys. 100
1976
Earlier work this paper cites.
W. Israel and J. M. Stewart, Phys. Lett. A 38
1976
Earlier work this paper cites.
J. M. Stewart, Proc. R. Soc. London, Ser. A 357
1977
Earlier work this paper cites.
S. R. D. Groot, Relativistic Kinetic Theory. Principles and Applications (Amsterdam, Netherlands: North-holland ( 1980) 417p, 1980)
1980
Earlier work this paper cites.
J. Noronha-Hostler, G. S. Denicol, J. Noronha, R. P. G. Andrade, and F. Grassi, Phys. Rev. C88
1981
Earlier work this paper cites.
W. A. Hiscock and L. Lindblom, Annals of Physics 151
1983
Earlier work this paper cites.
J. D. Bjorken, Phys. Rev. D27
1983
Earlier work this paper cites.
A. Majda, Compressible fluid flow and systems of conservation laws in several space variables , vol. 53 of Applied Mathematical Sciences (Springer-Verlag, New York, 1984), ISBN 0-387-96037-6, URL http://dx.doi.org/10.1007/978-1-4612-1116-7
1984
Earlier work this paper cites.
W. A. Hiscock and L. Lindblom, Phys. Rev. D 31
1985
Earlier work this paper cites.
S. Mizohata, On the Cauchy problem (Science Press and Academic Press, Inc., Hong Kong, 1985)
1985
Earlier work this paper cites.
P. Danielewicz and M. Gyulassy, Phys. Rev. D31
1985
Earlier work this paper cites.
I.-S. Liu, I. Müller, and T. Ruggeri, Ann. Physics 169
1986
Earlier work this paper cites.
L. D. Landau and E. M. Lifshitz, Fluid Mechanics - Volume 6 (Corse of Theoretical Physics) (Pergamon Press, 1987)
1987
Earlier work this paper cites.
A. M. Anile and S. Pennisi, Ann. Inst. H. Poincaré Phys. Théor. 46
1987
Earlier work this paper cites.
W. A. Hiscock and L. Lindblom, Physics Letters A 131
1988
Earlier work this paper cites.
C. Cercignani, The Boltzmann Equation and Its Applications (Springer-Verlag, New York, 1988)
1988
Earlier work this paper cites.
C. Courant and D. Hilbert, Methods of Mathematical Physics, Vol. 2. (Wiley-VCH, 1989)
1989
Earlier work this paper cites.
C. Foias and R. Temam, J. Funct. Anal. 87
1989
Earlier work this paper cites.
A. M. Anile, Relativistic Fluids and Magneto-fluids: With Applications in Astrophysics and Plasma Physics (Cambridge Monographs on Mathematical Physics) (Cambridge University Press; 1 edition, 1990)
1990
Earlier work this paper cites.
R. Geroch and L. Lindblom, Phys. Rev. D (3) 41
1990
Earlier work this paper cites.
R. Geroch and L. Lindblom, Ann. Physics 207
1991
Earlier work this paper cites.
A. D. Rendall, J. Math. Phys. 33
1992
Earlier work this paper cites.
D. Christodoulou and S. Klainerman, The global nonlinear stability of Minkowski space (Princeton University Press, Princeton, N.J., 1993)
1993
Earlier work this paper cites.
L. Rodino, Linear partial differential operators in Gevrey spaces (World Scientific, Singapore, 1993)
1993
Earlier work this paper cites.
G. B. Nagy, O. E. Ortiz, and O. A. Reula, J. Math. Phys. 35
1994
Earlier work this paper cites.
A. R. Liddle, P. Parsons, and J. D. Barrow, Phys. Rev. D50
1994
Earlier work this paper cites.
R. Geroch, J. Math. Phys. 36
1995
Earlier work this paper cites.
R. Maartens, Class. Quant. Grav. 12
1995
Earlier work this paper cites.
L. Lindblom, Annals of Physics 247
1996
Earlier work this paper cites.
M. E. Taylor, Partial differential equations. III , vol. 117 of Applied Mathematical Sciences (Springer-Verlag, New York, 1997), ISBN 0-387-94652-7, nonlinear equations, Corrected reprint of the 1996 original
1996
Earlier work this paper cites.
H.-O. Kreiss, G. B. Nagy, O. E. Ortiz, and O. A. Reula, Journal of Mathematical Physics 38
1997
Earlier work this paper cites.
O. A. Reula and G. B. Nagy, J. Phys. A 30
1997
Earlier work this paper cites.
I. Mueller and T. Ruggeri, Rational Extended Thermodynamics (Springer, 1998)
1998
Earlier work this paper cites.
A. B. Ferrari and E. S. Titi, Communications in Partial Differential Equations 23
1998
Earlier work this paper cites.
D. Rischke, in Hadrons in Dense Matter and Hadrosynthesis (Cleymans J., Geyer H.B., Scholtz F.G. (eds)) (Springer, Berlin, Heidelberg, 1999), vol. 516 of Lecture Notes in Physics , pp. 105–181
1999
Earlier work this paper cites.
C. Cao, M. A. Rammaha, and E. S. Titi, Zeitschrift für Angewandte Mathematik und Physik (ZAMP) 50
1999
Earlier work this paper cites.
P. Kostadt and M. Liu, Phys. Rev. D62
2000
Earlier work this paper cites.
H. Friedrich and A. D. Rendall, Lect. Notes Phys. 540
2000
Earlier work this paper cites.
L. Herrera and D. Pavon, Phys. Rev. D64
2001
Earlier work this paper cites.
P. Kostadt and M. Liu, Phys. Rev. D64
2001
Cited alongside, same era.
C. Cercignani and G. M. Kremer, The Relativistic Boltzmann Equation: Theory and Applications (Birkhauser Verlag, Basel, 2002)
2002
Cited alongside, same era.
S. Klainerman and F. Nicolo, The Evolution Problem in General Relativity (Progress in Mathematical Physics) (Birkhäuser, 2003)
2003
Cited alongside, same era.
M. D. Duez, Y. T. Liu, S. L. Shapiro, and B. C. Stephens, Physical Review D 69
2004
Cited alongside, same era.
M. Gyulassy and L. McLerran, Nucl. Phys. A750
2005
Cited alongside, same era.
P. Romatschke and U. Romatschke, Phys. Rev. Lett. 99
2007
Cited alongside, same era.
D. Coutand, J. Hole, and S. Shkoller, SIAM J. Math. Anal. 45
2013
Later among the works it cites.
J. Noronha-Hostler, J. Noronha, and F. Grassi, Phys. Rev. C90
2014
Later among the works it cites.
L. Herrera, A. D. Prisco, J. Ibáñez, and J. Ospino, Physical Review D 89
2014
Later among the works it cites.
H. Freistühler and B. Temple, Proc. R. Soc. A 470
2014
Later among the works it cites.
M. M. Disconzi, Nonlinearity 27
2014
Later among the works it cites.
M. Strickland, Acta Phys. Polon. B45
2014
Later among the works it cites.
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D. Christodoulou, The formation of shocks in 3-dimensional fluids , EMS Monographs in Mathematics (European Mathematical Society (EMS), Zürich, 2007), ISBN 978-3-03719-031-9, URL https://doi.org/10.4171/031
2007
Cited alongside, same era.
K. Tsumura, T. Kunihiro, and K. Ohnishi, Phys. Lett. B656
2007
Cited alongside, same era.
D. Coutand and S. Shkoller, J. Amer. Math. Soc. 20
2007
Cited alongside, same era.
S. Weinberg, Cosmology (Oxford University Press; 1 edition, 2008)
2008
Cited alongside, same era.
R. Baier, P. Romatschke, D. T. Son, A. O. Starinets, and M. A. Stephanov, JHEP 04
2008
Cited alongside, same era.
H. Song and U. W. Heinz, Phys. Rev. C77
2008
Cited alongside, same era.
2014
Later among the works it cites.
P. Arnold, P. Romatschke, and W. van der Schee, JHEP 10
2014
Later among the works it cites.
M. M. Disconzi and D. G. Ebin, Comm. Partial Differential Equations 39
2014
Later among the works it cites.
M. M. Disconzi, Reviews in Mathematical Physics 27
2015
Later among the works it cites.
G. S. Denicol, H. Niemi, E. Molnar, and D. H. Rischke, Phys. Rev. D85
2015
Later among the works it cites.
S. Jeon and U. Heinz, Int. J. Mod. Phys. E24
2015
Later among the works it cites.
M. Habich, J. L. Nagle, and P. Romatschke, Eur. Phys. J. C75
2015
Later among the works it cites.
P. Romatschke, Eur. Phys. J. C75
2015
Later among the works it cites.
S. Ryu, J. F. Paquet, C. Shen, G. S. Denicol, B. Schenke, S. Jeon, and C. Gale, Phys. Rev. Lett. 115
2015
Later among the works it cites.
M. M. Disconzi, T. W. Kephart, and R. J. Scherrer, Physical Review D 91
2015
Later among the works it cites.
C. H. Chan and M. Czubak, Ann. Inst. H. Poincaré Anal. Non Linéaire 33
2015
Later among the works it cites.
J. Bourgain and D. Li, Invent. Math. 201
2015
Later among the works it cites.
M. P. Heller and M. Spalinski, Phys. Rev. Lett. 115
2015
Later among the works it cites.
G. Basar and G. V. Dunne, Phys. Rev. D92
2015
Later among the works it cites.
H. Marrochio, J. Noronha, G. S. Denicol, M. Luzum, S. Jeon, and C. Gale, Phys. Rev. C91
2015
Later among the works it cites.
M. Nopoush, R. Ryblewski, and M. Strickland, Phys. Rev. D91
2015
Later among the works it cites.
J. Noronha and G. S. Denicol, Phys. Rev. D92
2015
Later among the works it cites.
G. S. Denicol, C. Gale, and S. Jeon, PoS CPOD2014
2015
Later among the works it cites.
M. Hadžić, S. Shkoller, and J. Speck, arXiv:1511.07467 [math.AP] (2015)
2015
Later among the works it cites.
C. Shen, Z. Qiu, H. Song, J. Bernhard, S. Bass, and U. Heinz, Comput. Phys. Commun. 199
2016
Later among the works it cites.
H. Niemi, K. J. Eskola, and R. Paatelainen, Phys. Rev. C93
2016
Later among the works it cites.
M. Czubak and M. M. Disconzi, Journal of Mathematical Physics 57
2016
Later among the works it cites.
G. M. ek and T. Yoneda, Math. Ann. 364
2016
Later among the works it cites.
J. Speck, 214
2016
Later among the works it cites.
S. Borsanyi et al., Nature 539
2016
Later among the works it cites.
S. Grozdanov and N. Kaplis, Physical Review D 93
2016
Later among the works it cites.
A. Buchel, M. P. Heller, and J. Noronha, Phys. Rev. D94
2016
Later among the works it cites.
G. S. Denicol and J. Noronha (2016), eprint 1608.07869
2016
Later among the works it cites.
M. P. Heller, A. Kurkela, and M. Spalinski (2016), eprint 1609.04803
2016
Later among the works it cites.
I. Aniceto and M. Spaliński, Phys. Rev. D93
2016
Later among the works it cites.
W. Florkowski, R. Ryblewski, and M. Spaliński, Phys. Rev. D94
2016
Later among the works it cites.
M. M. Disconzi and D. G. Ebin, Journal of Differential Equations 261
2016
Later among the works it cites.
J. Jang, P. G. LeFloch, and N. Masmoudi, Journal of Differential Equations 260
2016
Later among the works it cites.
L. Baiotti and L. Rezzolla, Rept. Prog. Phys. 80
2017
Closest in time.
K. Okamoto and C. Nonaka, Eur. Phys. J. C77
2017
Closest in time.
M. G. Alford, L. Bovard, M. Hanauske, L. Rezzolla, and K. Schwenzer (2017), eprint 1707.09475
2017
Closest in time.
H. Freistühler and B. Temple, Proc. R. Soc. A 473
2017
Closest in time.
M. M. Disconzi, T. W. Kephart, and R. J. Scherrer, International Journal of Modern Physics D 26
2017
Closest in time.
G. Montani and M. Venanzi, The European Physical Journal C 77
2017
Closest in time.
M. M. Disconzi, arXiv:1708.06572 [math.AP] (2017), 22 pages
2017
Closest in time.
A. Czajka and S. Jeon, Phys. Rev. C95
2017
Closest in time.
W. Florkowski, M. P. Heller, and M. Spalinski (2017), eprint 1707.02282
2017
Closest in time.
H. Freistühler and B. Temple, Journal of Mathematical Physics 59
2018
Closest in time.
L. Lehner, O. A. Reula, and M. E. Rubio, Phys. Rev. D97
2018
Closest in time.
A. Monnai (2018), eprint 1803.03318
2018
Closest in time.
A. Behtash, C. N. Cruz-Camacho, and M. Martinez, Phys. Rev. D97
2018
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G. S. Denicol and J. Noronha (2018), eprint 1804.04771
2018
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P. Van and T. S. Biro, Eur. Phys. J. ST 155
2039
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