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PreprintCC BY 4.0arXiv

Hilbert Expansion of the coupled radiation-Euler in the equilibrium regime

  • Qiangchang Ju
  • Lei Li
  • Zhengce Zhang
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Abstract

In this paper, we establish the validity of the Hilbert expansion for the coupled radiation-Euler model with non-relativistic source term for general initial data on the torus 𝕋3, which leads to the simplified equilibrium-diffusion limit and the initial layer corrections for the radiation intensity coupled with the temperature.

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Cite

BibTeXRIS
BibTeX
@misc{ju2026hilbert,
  title = {{Hilbert Expansion of the coupled radiation-Euler in the equilibrium regime}},
  author = {Qiangchang Ju and Lei Li and Zhengce Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.15410},
  eprint = {2609.15410},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.15410},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Hilbert Expansion of the coupled radiation-Euler in the equilibrium regime
AU  - Qiangchang Ju
AU  - Lei Li
AU  - Zhengce Zhang
PY  - 2026
DA  - 2026/09/14
PB  - arXiv
DO  - 10.48550/arxiv.2609.15410
UR  - https://arxiv.org/abs/2609.15410
AB  - In this paper, we establish the validity of the Hilbert expansion for the coupled radiation-Euler model with non-relativistic source term for general initial data on the torus 𝕋^3, which leads to the simplified equilibrium-diffusion limit and the initial layer corrections for the radiation intensity coupled with the temperature.
ER  -