Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.13726 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912128496041984 |
|---|---|
| author | Luczak, Brian B. |
| author_facet | Luczak, Brian B. |
| contents | In this paper, we will provide a result on the relativistic Euler equations for an ideal gas equation of state and a physical vacuum boundary. More specifically, we will prove a priori estimates for the linearized system in weighted Sobolev spaces. Our focus will be on choosing the correct thermodynamic variables, developing a weighted book-keeping scheme, and then proving energy estimates for the linearized system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_13726 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state Luczak, Brian B. Analysis of PDEs Mathematical Physics In this paper, we will provide a result on the relativistic Euler equations for an ideal gas equation of state and a physical vacuum boundary. More specifically, we will prove a priori estimates for the linearized system in weighted Sobolev spaces. Our focus will be on choosing the correct thermodynamic variables, developing a weighted book-keeping scheme, and then proving energy estimates for the linearized system. |
| title | A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2411.13726 |