We analyze the 2 × 2 nonhomogeneous relativistic Euler equations for perfect fluids in special relativity. We impose appropriate conditions on the lower order source terms and establish the existence of global entropy solutions of the Cauchy problem under these conditions.
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Univ Tsukuba, Grad Sch Pure & Appl Sci, Ibaraki 3058571, JapanUniv Paris 06, Ctr Natl Rech Sci, Lab Jacques Louis Lions, 4 Pl Jussieu, F-75252 Paris, France
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Yonsei Univ, Dept Math, 50 Yonsei Ro, Seoul 03722, South KoreaYonsei Univ, Dept Math, 50 Yonsei Ro, Seoul 03722, South Korea
Choi, Young-Pil
Jung, Jinwook
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Hanyang Univ, Dept Math, 222 Wangsimni Ro, Seoul 04763, South Korea
Hanyang Univ, Res Inst Convergence Basic Sci, 222 Wangsimni Ro, Seoul 04763, South KoreaYonsei Univ, Dept Math, 50 Yonsei Ro, Seoul 03722, South Korea
Jung, Jinwook
Lee, Yoonjung
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Yonsei Univ, Dept Math, 50 Yonsei Ro, Seoul 03722, South KoreaYonsei Univ, Dept Math, 50 Yonsei Ro, Seoul 03722, South Korea