Heat diffusion introduces a distinct thermal mode sector in viscous star oscillations that transitions to propagating behavior above a critical overtone, realizing finite-size relativistic second sound.
Flux-conservative Bemfica-Disconzi- Noronha-Kovtun hydrodynamics and shock regu- larization
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A finite-volume scheme for causal viscoresistive relativistic MHD is developed with an extra correction needed in the ultra-relativistic limit, plus a primitive recovery method validated on benchmarks and 2D simulations.