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

• DOI: 10.48550/arxiv.1911.02504
• Publication Date: 2019-01-01
• Authors: Fábio S. Bemfica; Marcelo M. Disconzi; Casey Rodriguez; Yuanzhen Shao
• Keywords: Mathematics - Analysis of PDEs; 0103 physical sciences; FOS: Mathematics; 01 natural sciences; Analysis of PDEs (math.AP)

In this manuscript, we study the theory of conformal relativistic viscous hydrodynamics introduced in arXiv:1708.06255, which provided a causal and stable first-order fluids with viscosity. The local well-posedness its equations motion has been previously established Gevrey spaces. Here, improve result by proving Sobolev