Local well-posedness in Sobolev spaces for first-order barotropic causal relativistic viscous hydrodynamics | Zendy

Fábio S. Bemfica | Zendy; Marcelo M. Disconzi | Zendy; P. Jameson Graber | Zendy

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Local 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 andamp 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.

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