Necessary and sufficient algebraic inequalities fully characterize nonlinear causality of general Israel-Stewart bulk-plus-shear theories, with sufficient conditions for strong hyperbolicity and constraint propagation, including coupling to Einstein gravity.
Local well-posedness in Sobolev spaces for first-order conformal causal relativistic viscous hydrodynamics
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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 theory of relativistic fluids with viscosity. 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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Nonlinear Causality and Strong Hyperbolicity of Einstein-Israel-Stewart Theories of Transient Relativistic Fluid Dynamics
Necessary and sufficient algebraic inequalities fully characterize nonlinear causality of general Israel-Stewart bulk-plus-shear theories, with sufficient conditions for strong hyperbolicity and constraint propagation, including coupling to Einstein gravity.