Local well-posedness in Sobolev spaces for first-order conformal causal relativistic viscous hydrodynamics
Analysis of PDEs
2019-11-07 v1
Abstract
In this manuscript, we study the theory of conformal relativistic viscous hydrodynamics introduced in arXiv:1708.06255, which provided a causal and stable first-order theory of relativistic fluids with viscosity. The local well-posedness of its equations of motion has been previously established in Gevrey spaces. Here, we improve this result by proving local well-posedness in Sobolev spaces.
Keywords
Cite
@article{arxiv.1911.02504,
title = {Local well-posedness in Sobolev spaces for first-order conformal causal relativistic viscous hydrodynamics},
author = {Fabio S. Bemfica and Marcelo M. Disconzi and Casey Rodriguez and Yuanzhen Shao},
journal= {arXiv preprint arXiv:1911.02504},
year = {2019}
}