Search

Your search keyword '"83C99 (Primary), 76B99 (Secondary)"' showing total 2 results
Start Over Descriptor "83C99 (Primary), 76B99 (Secondary)"
2 results on '"83C99 (Primary), 76B99 (Secondary)"'

1. A note on incompressibility of relativistic fluids and the instantaneity of their pressures

Author

Reintjes, Moritz

Subjects
General Relativity and Quantum Cosmology, 83C99 (Primary), 76B99 (Secondary)
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 $c\rightarrow \infty$. As our main result, we prove that the fluid pressure of solutions of these incompressible "relativistic" Euler equations satisfies an elliptic equation on each of the hypersurfaces orthogonal to the fluid four-velocity, which indicates infinite speed of propagation., Comment: 7 pages. Version 2: Improved wording and presentation

Published
2016

2. A Note on Incompressibility of Relativistic Fluids and the Instantaneity of their Pressures

Author

Moritz Reintjes

Subjects
Spacetime, 010102 general mathematics, FOS: Physical sciences, Statistical and Nonlinear Physics, General Relativity and Quantum Cosmology (gr-qc), Relativistic Euler equations, 01 natural sciences, General Relativity and Quantum Cosmology, Classical limit, 010305 fluids & plasmas, Euler equations, Physics::Fluid Dynamics, symbols.namesake, Elliptic curve, Theory of relativity, 83C99 (Primary), 76B99 (Secondary), 0103 physical sciences, symbols, Compressibility, Incompressible euler equations, 0101 mathematics, Mathematical Physics, Mathematics, Mathematical physics
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 $c\rightarrow \infty$. As our main result, we prove that the fluid pressure of solutions of these incompressible "relativistic" Euler equations satisfies an elliptic equation on each of the hypersurfaces orthogonal to the fluid four-velocity, which indicates infinite speed of propagation., Comment: 7 pages. Version 2: Improved wording and presentation

Published
2018
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results