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PreprintCC BY 4.0arXiv

Weighted Lq-Lr estimates of a generalized Oseen evolution operator in exterior domains, with applications to the Navier-Stokes flow past a rigid body

  • Yosuke Asami
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Abstract

We consider a generalized Oseen evolution operator arising from time-dependent rigid motions in 3D exterior domains. Hishida and the present author established the regularity theory of the evolution operator by use of the Lq-Lr smoothing estimates with a weight function (1+|x|)α. The objective of this paper is to develop the weighted Lq-Lr estimates globally in time. These estimates are applied to the study of the large time behavior of the Navier-Stokes flow around a time-periodic solution in weighted spaces.

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Cite

BibTeXRIS
BibTeX
@misc{asami2026weighted,
  title = {{Weighted $L^q$-$L^r$ estimates of a generalized Oseen evolution operator in exterior domains, with applications to the Navier-Stokes flow past a rigid body}},
  author = {Yosuke Asami},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.00649},
  eprint = {2611.00649},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.00649},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Weighted L^q-L^r estimates of a generalized Oseen evolution operator in exterior domains, with applications to the Navier-Stokes flow past a rigid body
AU  - Yosuke Asami
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.00649
UR  - https://arxiv.org/abs/2611.00649
AB  - We consider a generalized Oseen evolution operator arising from time-dependent rigid motions in 3D exterior domains. Hishida and the present author established the regularity theory of the evolution operator by use of the L^q-L^r smoothing estimates with a weight function (1+|x|)^α. The objective of this paper is to develop the weighted L^q-L^r estimates globally in time. These estimates are applied to the study of the large time behavior of the Navier-Stokes flow around a time-periodic solution in weighted spaces.
ER  -