Local existence and uniqueness in Sobolev spaces for first-order conformal causal relativistic viscous hydrodynamics

Abstract

<p style='text-indent:20px;'>In this manuscript, we study the theory of conformal relativistic viscous hydrodynamics introduced in [<xref ref-type="bibr" rid="b4">4</xref>], 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.</p>