Dynamical relativistic liquid bodies
Todd A. Oliynyk
TL;DR
This paper proves the local-in-time existence of solutions to the relativistic Euler equations that model dynamical liquid bodies in vacuum, advancing the mathematical understanding of relativistic fluid dynamics.
Contribution
It establishes the first local-in-time existence results for relativistic liquid bodies in vacuum, a significant step in relativistic fluid mechanics.
Findings
Proved local-in-time existence of solutions
Modelled dynamical liquid bodies in vacuum
Contributed to relativistic fluid dynamics theory
Abstract
We establish the local-in-time existence of solutions to the relativistic Euler equations representing dynamical liquid bodies in vacuum.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Navier-Stokes equation solutions · Cosmology and Gravitation Theories