On the local well-posedness for the relativistic Euler equations for a liquid body

2021/09/04 by Daniel Ginsberg, Hans Lindblad, Ginsberg, Daniel +1
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Cosmology and Gravitation Theories #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2109.01899

openalex publication_date 2021/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a local existence theorem for the free boundary problem for a relativistic fluid in a fixed spacetime. Our proof involves an a priori estimate which only requires control of derivatives tangential to the boundary, which holds also in the Newtonian compressible case.

Related

• Local existence for the free boundary problem for the non-relativistic and relativistic compressible Euler equations with a vacuum boundary condition
• Local existence for the free boundary problem for nonrelativistic and Relativistic compressible Euler equations with a vacuum boundary condition
• Well-posedness for the motion of an incompressible liquid with free surface boundary
• Well-posedness for the motion of an incompressible liquid with free surface boundary
• Dynamical relativistic liquid bodies