| dc.contributor |
Massachusetts Institute of Technology. Department of Mathematics |
|
| dc.creator |
Speck, Jared R. |
|
| dc.date |
2020-08-19T12:01:07Z |
|
| dc.date |
2020-08-19T12:01:07Z |
|
| dc.date |
2019-10 |
|
| dc.date |
2019-11-20T19:25:11Z |
|
| dc.date.accessioned |
2023-03-01T18:07:00Z |
|
| dc.date.available |
2023-03-01T18:07:00Z |
|
| dc.identifier |
0360-5302 |
|
| dc.identifier |
https://hdl.handle.net/1721.1/126672 |
|
| dc.identifier |
Hadžić, Mahir, Steve Shkoller and Jarad Speck. “A priori estimates for solutions to the relativistic Euler equations with a moving vacuum boundary.” Communications in partial differential equations, vol. 44, no. 10, 2019, pp. 859-906 © 2019 The Author(s) |
|
| dc.identifier.uri |
http://localhost:8080/xmlui/handle/CUHPOERS/278807 |
|
| dc.description |
We study the relativistic Euler equations on the Minkowski spacetime background. We make assumptions on the equation of state and the initial data that are relativistic analogs of the well-known physical vacuum boundary condition, which has played an important role in prior work on the non-relativistic compressible Euler equations. Our main result is the derivation, relative to Lagrangian (also known as co-moving) coordinates, of local-in-time a priori estimates for the solution. The solution features a fluid-vacuum boundary, transported by the fluid four-velocity, along which the hyperbolicity of the equations degenerates. In this context, the relativistic Euler equations are equivalent to a degenerate quasilinear hyperbolic wave-map-like system that cannot be treated using standard energy methods. |
|
| dc.description |
National Science Foundation (U.S.) (Grant DMS-1162211) |
|
| dc.description |
National Science Foundation (U.S.) (Career Grant 454419) |
|
| dc.format |
application/pdf |
|
| dc.language |
en |
|
| dc.publisher |
Taylor & Francis Group, LLC. |
|
| dc.relation |
10.1080/03605302.2019.1583250 |
|
| dc.relation |
Communications in partial differential equations |
|
| dc.rights |
Creative Commons Attribution-Noncommercial-Share Alike |
|
| dc.rights |
http://creativecommons.org/licenses/by-nc-sa/4.0/ |
|
| dc.source |
arXiv |
|
| dc.title |
A priori estimates for solutions to the relativistic Euler equations with a moving vacuum boundary |
|
| dc.type |
Article |
|
| dc.type |
http://purl.org/eprint/type/JournalArticle |
|