On Phase Boundaries in Relativistic Korteweg Fluids
Analysis of PDEs
2023-08-24 v1 Mathematical Physics
math.MP
Abstract
This is the first of several planned papers that study the existence and local-in-time persistence of phase fronts in the Lorentz invariant Euler equations for gases of van der Waals type, aiming at transferring earlier results of Slemrod and of Benzoni-Gavage and collaborators to the context of the theory of relativity. While the later papers will examine more general admissibility criteria, this one uses and extends the author's Lorentz invariant formulation of Korteweg's theory of capillarity, establishing a family of phase fronts that have a regular heteroclinic profile with respect to the associated Euler-Korteweg equations.
Keywords
Cite
@article{arxiv.2308.12135,
title = {On Phase Boundaries in Relativistic Korteweg Fluids},
author = {Heinrich Freistuhler},
journal= {arXiv preprint arXiv:2308.12135},
year = {2023}
}