2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130403Inspired by a recent hyperbolic regularization of Burnett's hydrodynamic equations [A. Bobylev, J. Stat. Phys. 124, 371 (2006)], we introduce a method to derive hyperbolic equations of linear hydrodynamics to any desired accuracy in Knudsen number. The approach is based on a dynamic invariance principle which derives exact constitutive relations for the stress tensor and heat flux, and a transformation which renders the exact equations of hydrodynamics hyperbolic and stable. The method is described in detail for a simple kinetic model - a thirteen moment Grad system.23 pages, 5 figures, to appear in Phys. Rev. EStatistical MechanicsFrom hyperbolic regularization to exact hydrodynamics for linearized Grad's equationstext