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PreprintarXiv licencearXiv

Schauder estimate in large scale for compressible planar cavity flows with fast-decaying vorticity

  • Chilin Zhang
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Abstract

In this paper, we study planar compressible cavity flows fast-decaying vorticity and establish a Schauder estimate in large scale. As an application, we obtain an a priori asymptotic growth rate estimate of the cavity, that s1/2−δ≲ h(s)≲ s1/2+δ. This is by far the most accurate asymptotic estimate for compressible cavity flows and is probably the first paper that takes vorticity into account in the asymptotic analysis.

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Cite

BibTeXRIS
BibTeX
@misc{zhang2026schauder,
  title = {{Schauder estimate in large scale for compressible planar cavity flows with fast-decaying vorticity}},
  author = {Chilin Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.17522},
  eprint = {2610.17522},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.17522},
}
RIS
TY  - UNPB
TI  - Schauder estimate in large scale for compressible planar cavity flows with fast-decaying vorticity
AU  - Chilin Zhang
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2610.17522
UR  - https://arxiv.org/abs/2610.17522
AB  - In this paper, we study planar compressible cavity flows fast-decaying vorticity and establish a Schauder estimate in large scale. As an application, we obtain an a priori asymptotic growth rate estimate of the cavity, that s^1/2−δ≲ h(s)≲ s^1/2+δ. This is by far the most accurate asymptotic estimate for compressible cavity flows and is probably the first paper that takes vorticity into account in the asymptotic analysis.
ER  -