TY - JOUR T1 - Relativistic Fluid Flows in a Bounded Domain AU - Frid , Hermano AU - Pires , Benito JO - Communications in Mathematical Analysis and Applications VL - 4 SP - 519 EP - 531 PY - 2024 DA - 2024/12 SN - 3 DO - http://doi.org/10.4208/cmaa.2024-0022 UR - https://global-sci.org/intro/article_detail/cmaa/23617.html KW - Relativistic flows, boundary value problem, Glimm method. AB -

We analyze a boundary value problem for the flow of a relativistic fluid confined in a bounded domain. An important point is that we base our problem on the Lagrange coordinates of the fluid which we define here, for the first time in the (1+1)-dimensional case. The Lagrange coordinates for the 1+3 relativistic flow was established in [Dias and Frid, Comm. Math. Anal. Appl. 2(3) (2023)].