Open AccessLocal well-posedness in Sobolev spaces for first-order barotropic causal relativistic viscous hydrodynamics
Author(s) -
Fábio S. Bemfica,
Marcelo M. Disconzi,
P. Jameson Graber
Publication year - 2021
Publication title -
communications on pure and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.077
H-Index - 42
eISSN - 1553-5258
pISSN - 1534-0392
DOI - 10.3934/cpaa.2021068
Subject(s) - barotropic fluid , sobolev space , mathematics , viscosity , order (exchange) , type (biology) , physics , mathematical physics , pure mathematics , mathematical analysis , mechanics , geology , quantum mechanics , finance , economics , paleontology
We study the theory of relativistic viscous hydrodynamics introduced in [ 14 , 58 ], 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.