University of Chicago Laboratory Schools
1362 E. 59th St.
Chicago, IL 60637, USA
email: bluczak@uchicago.edu
Brian B. Luczak
Abstract:
In this article, 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.
Submitted November 27, 2024. Published January 27, 2025.
Math Subject Classifications: 35Q75, 35Q35, 35Q31, 35R37.
Key Words: Relativistic Euler equations; physical vacuum boundary; ideal gas equation of state.
DOI: 10.58997/ejde.2025.10
Show me the PDF file (600 KB), TEX file for this article.
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Brian B. Luczak University of Chicago Laboratory Schools 1362 E. 59th St. Chicago, IL 60637, USA email: bluczak@uchicago.edu |
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