Axisymmetric steady Navier–Stokes flows under suction
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説明
We prove the existence of solutions for the axisymmetric steady Navier–Stokes system around an infinite cylinder under external forces. The solutions are constructed to be decaying at the horizontal infinity, despite an analogue of the Stokes paradox for the linearized system, and having neither periodicity nor decay in the vertical direction. The proof is based on perturbation of the nonlinear system around a suction flow. The class of functions in this paper, which is a subspace of the space of Fourier transformed vector finite Radon measures, is inspired by Giga-Saal (2013) treating rotating boundary layers.
収録刊行物
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- Calculus of Variations and Partial Differential Equations
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Calculus of Variations and Partial Differential Equations 64 (4), 137-, 2025-04-18
Springer Nature
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詳細情報 詳細情報について
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- CRID
- 1050867034386656256
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- ISSN
- 14320835
- 09442669
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- HANDLE
- 20.500.14094/0100495772
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- 本文言語コード
- en
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- 資料種別
- journal article
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- データソース種別
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- IRDB