Regularity condition of the incompressible Navier–Stokes equations in terms of one velocity component

Hantaek Bae; Kyungkeun Kang

doi:10.1016/j.aml.2019.02.024

Regularity condition of the incompressible Navier–Stokes equations in terms of one velocity component

Hantaek Bae, Kyungkeun Kang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

In this paper, we provide a new regularity criterion of smooth solutions via the one component of the velocity field in various scaling invariant spaces with a natural growth condition of the L ^∞ norm near a possible blow-up time.

Original language	English
Pages (from-to)	120-125
Number of pages	6
Journal	Applied Mathematics Letters
Volume	94
DOIs	https://doi.org/10.1016/j.aml.2019.02.024
Publication status	Published - 2019 Aug

Bibliographical note

Funding Information:
H.B. was supported by the National Research Foundation of Korea (NRF-2018R1D1A1B07049015). K. Kang was partially supported by National Research Foundation of Korea (NRF-2017R1A2B4006484) and was also supported in part by the Yonsei University Challenge of 2017.

Funding Information:
H.B. was supported by the National Research Foundation of Korea ( NRF-2018R1D1A1B07049015 ). K. Kang was partially supported by National Research Foundation of Korea ( NRF-2017R1A2B4006484 ) and was also supported in part by the Yonsei University Challenge of 2017.

Publisher Copyright:
© 2019 Elsevier Ltd

All Science Journal Classification (ASJC) codes

Applied Mathematics

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10.1016/j.aml.2019.02.024

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title = "Regularity condition of the incompressible Navier–Stokes equations in terms of one velocity component",

abstract = " In this paper, we provide a new regularity criterion of smooth solutions via the one component of the velocity field in various scaling invariant spaces with a natural growth condition of the L ∞ norm near a possible blow-up time.",

author = "Hantaek Bae and Kyungkeun Kang",

note = "Funding Information: H.B. was supported by the National Research Foundation of Korea (NRF-2018R1D1A1B07049015). K. Kang was partially supported by National Research Foundation of Korea (NRF-2017R1A2B4006484) and was also supported in part by the Yonsei University Challenge of 2017. Funding Information: H.B. was supported by the National Research Foundation of Korea ( NRF-2018R1D1A1B07049015 ). K. Kang was partially supported by National Research Foundation of Korea ( NRF-2017R1A2B4006484 ) and was also supported in part by the Yonsei University Challenge of 2017. Publisher Copyright: {\textcopyright} 2019 Elsevier Ltd",

year = "2019",

month = aug,

doi = "10.1016/j.aml.2019.02.024",

language = "English",

volume = "94",

pages = "120--125",

journal = "Applied Mathematics Letters",

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AU - Bae, Hantaek

AU - Kang, Kyungkeun

N1 - Funding Information: H.B. was supported by the National Research Foundation of Korea (NRF-2018R1D1A1B07049015). K. Kang was partially supported by National Research Foundation of Korea (NRF-2017R1A2B4006484) and was also supported in part by the Yonsei University Challenge of 2017. Funding Information: H.B. was supported by the National Research Foundation of Korea ( NRF-2018R1D1A1B07049015 ). K. Kang was partially supported by National Research Foundation of Korea ( NRF-2017R1A2B4006484 ) and was also supported in part by the Yonsei University Challenge of 2017. Publisher Copyright: © 2019 Elsevier Ltd

PY - 2019/8

Y1 - 2019/8

N2 - In this paper, we provide a new regularity criterion of smooth solutions via the one component of the velocity field in various scaling invariant spaces with a natural growth condition of the L ∞ norm near a possible blow-up time.

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SP - 120

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JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

Regularity condition of the incompressible Navier–Stokes equations in terms of one velocity component

Abstract

Bibliographical note

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