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.
Bibliographical noteFunding 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.
All Science Journal Classification (ASJC) codes
- Applied Mathematics