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

Hantaek Bae, Kyungkeun Kang

Research output: Contribution to journalArticlepeer-review

2 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 languageEnglish
Pages (from-to)120-125
Number of pages6
JournalApplied Mathematics Letters
Volume94
DOIs
Publication statusPublished - 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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