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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.<\/jats:p>","DOI":"10.3390\/e26030189","type":"journal-article","created":{"date-parts":[[2024,2,22]],"date-time":"2024-02-22T11:28:47Z","timestamp":1708601327000},"page":"189","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":54,"title":["Theories of Relativistic Dissipative Fluid Dynamics"],"prefix":"10.3390","volume":"26","author":[{"given":"Gabriel S.","family":"Rocha","sequence":"first","affiliation":[{"name":"Department of Physics and Astronomy, Vanderbilt University, 1221 Stevenson Center Lane, Nashville, TN 37212, USA"},{"name":"Instituto de F\u00edsica, Universidade Federal Fluminense, 24210-346 Niter\u00f3i, RJ, Brazil"},{"name":"Institute for Theoretical Physics, Goethe University, Max-von-Laue-Str. 1, D-60438 Frankfurt am Main, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"David","family":"Wagner","sequence":"additional","affiliation":[{"name":"Institute for Theoretical Physics, Goethe University, Max-von-Laue-Str. 1, D-60438 Frankfurt am Main, Germany"},{"name":"Department of Physics, West University of Timi\u0219oara, Bd. 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