Relativistic Fluid Flows in a Bounded Domain

Abstract

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)].