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Uniform Decay for Ruggeri's Relaxed Navier-Stokes-Fourier Equations
Abstract
This work studies the linearization of Ruggeri's classical symmetric hyperbolic model of viscous, heat-conductive fluids about a homogeneous equilibrium. In three space dimensions, we show that perturbations in L1∩ L2 decay in L2 at the rate (1+t)−3/4, uniformly as a common parameter scaling the three relaxation times tends to zero. The estimate controls the equilibrium variables together with the appropriately weighted stresses and heat flux, and has the same decay rate as the formal Navier--Stokes--Fourier limit.
Related
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BibTeX
@misc{freistuhler2026uniform,
title = {{Uniform Decay for Ruggeri's Relaxed Navier-Stokes-Fourier Equations}},
author = {Heinrich Freistühler and Yizhou Zhou},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.18367},
eprint = {2610.18367},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.18367},
}
RIS
TY - UNPB
TI - Uniform Decay for Ruggeri's Relaxed Navier-Stokes-Fourier Equations
AU - Heinrich Freistühler
AU - Yizhou Zhou
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2610.18367
UR - https://arxiv.org/abs/2610.18367
AB - This work studies the linearization of Ruggeri's classical symmetric hyperbolic model of viscous, heat-conductive fluids about a homogeneous equilibrium. In three space dimensions, we show that perturbations in L^1∩ L^2 decay in L^2 at the rate (1+t)^−3/4, uniformly as a common parameter scaling the three relaxation times tends to zero. The estimate controls the equilibrium variables together with the appropriately weighted stresses and heat flux, and has the same decay rate as the formal Navier--Stokes--Fourier limit.
ER -