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PreprintarXiv licencearXiv

Pointwise Structures and Background Perturbation Analyses for Thermal Non-equilibrium Irrotational Flows in Three Space Dimensions

  • Shijin Deng
  • Xiaochun Yang
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Abstract

In this paper, both the pointwise space-time structures of the solution for a three-dimensional model describing gas dynamics in thermal non-equilibrium and the corresponding background stabilities within the Lp framework are investigated under the small initial perturbation assumption and the irrotationality condition. Our main tools are the modified Green's function according to the irrotationality condition, a priori energy method and a refined decay estimates of products composed of the entropy function and high-order derivatives.

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Cite

BibTeXRIS
BibTeX
@misc{deng2026pointwise,
  title = {{Pointwise Structures and Background Perturbation Analyses for Thermal Non-equilibrium Irrotational Flows in Three Space Dimensions}},
  author = {Shijin Deng and Xiaochun Yang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.11676},
  eprint = {2610.11676},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.11676},
}
RIS
TY  - UNPB
TI  - Pointwise Structures and Background Perturbation Analyses for Thermal Non-equilibrium Irrotational Flows in Three Space Dimensions
AU  - Shijin Deng
AU  - Xiaochun Yang
PY  - 2026
DA  - 2026/10/09
PB  - arXiv
DO  - 10.48550/arxiv.2610.11676
UR  - https://arxiv.org/abs/2610.11676
AB  - In this paper, both the pointwise space-time structures of the solution for a three-dimensional model describing gas dynamics in thermal non-equilibrium and the corresponding background stabilities within the L^p framework are investigated under the small initial perturbation assumption and the irrotationality condition. Our main tools are the modified Green's function according to the irrotationality condition, a priori energy method and a refined decay estimates of products composed of the entropy function and high-order derivatives.
ER  -