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

  • * Corresponding author

    * Corresponding author 
The second author is partially supported by a Sloan Research Fellowship provided by the Alfred P. Sloan foundation, by NSF grant DMS-1812826, and by a Discovery grant administered by Vanderbilt University, and from a Dean's Faculty Fellowship. The third author is partially supported by NSF grant DMS-1905449
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  • 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.

    Mathematics Subject Classification: Primary: 35Q75; Secondary: 35Q35.


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