On the existence of solutions and causality for relativistic viscous conformal fluids

Marcelo M. Disconzi

doi:10.3934/cpaa.2019075

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2019, Volume 18, Issue 4: 1567-1599. Doi: 10.3934/cpaa.2019075

This issue Previous Article Next Article The interior gradient estimate for some nonlinear curvature equations

On the existence of solutions and causality for relativistic viscous conformal fluids

Marcelo M. Disconzi

Department of Mathematics, Vanderbilt University, Nashville, TN 37211, USA

Received: July 31, 2017

Revised: October 31, 2018

Published: January 2019

M. M. D. is partially supported by NSF grant # DMS-1812826, by a Sloan Research Fellowship provided by the Alfred P. Sloan foundation, and by a Discovery grant administered by Vanderbilt University.

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We consider a stress-energy tensor describing a pure radiation viscous fluid with conformal symmetry introduced in [3]. We show that the corresponding equations of motions are causal in Minkowski background and also when coupled to Einstein's equations, and solve the associated initial-value problem.

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Mathematics Subject Classification: Primary: 35Q76; Secondary: 35L15.

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