Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11015568 | Reports on Mathematical Physics | 2018 | 8 Pages |
Abstract
We introduce a natural notion of incompressibility for fluids governed by the relativistic Euler equations on a fixed background spacetime, and show that the resulting equations reduce to the incompressible Euler equations in the classical limit as c â â. As our main result, we prove that the fluid pressure of solutions of these incompressible ârelativistic” Euler equations satisfies an elliptic equation on each of the surfaces orthogonal to the fluid four-velocity, which indicates infinite speed of propagation.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Moritz Reintjes,