Local well-posedness in Sobolev spaces for first-order barotropic causal relativistic viscous hydrodynamics
Analysis of PDEs
2020-09-04 v1 Nuclear Theory
Abstract
We study the theory of relativistic viscous hydrodynamics introduced in arXiv:1109.0985 and arXiv:1907.12695, which provided a causal and stable first-order theory of relativistic fluids with viscosity in the case of barotropic fluids. 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.2009.01621,
title = {Local well-posedness in Sobolev spaces for first-order barotropic causal relativistic viscous hydrodynamics},
author = {Fabio S. Bemfica and Marcelo M. Disconzi and P. Jameson Graber},
journal= {arXiv preprint arXiv:2009.01621},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1911.02504