The spatial hydrodynamic gradient series is factorially divergent but strictly Borel summable in the non-relativistic case and becomes convergent with finite radius when relativistic causality is enforced.
Kogelbauer, Non-local hydrodynamics as a slow mani- fold for the one-dimensional kinetic equation, Continuum Mechanics and Thermodynamics33, 431 (2021)
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The Spatial Hydrodynamic Attractor: Resurgence of the Gradient Expansion
The spatial hydrodynamic gradient series is factorially divergent but strictly Borel summable in the non-relativistic case and becomes convergent with finite radius when relativistic causality is enforced.