Open AccessLocal existence and uniqueness in Sobolev spaces for first-order conformal causal relativistic viscous hydrodynamics
Author(s) -
Fábio S. Bemfica,
Marcelo M. Disconzi,
Casey Rodriguez,
Yuanzhen Shao
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.2021069
Subject(s) - sobolev space , uniqueness , conformal map , mathematics , order (exchange) , viscosity , mathematical analysis , pure mathematics , mathematical physics , physics , quantum mechanics , finance , economics
In this manuscript, we study the theory of conformal relativistic viscous hydrodynamics introduced in [ 4 ], which provided a causal and stable first-order theory of relativistic fluids with viscosity. Local existence and uniqueness of solutions to its equations of motion have been previously established in Gevrey spaces. Here, we improve this result by proving local existence and uniqueness of solutions in Sobolev spaces.