Short Time Regularity of Navier–Stokes Flows with Locally L3 Initial Data and Applications-Reference-Cited by-同舟云学术

Short Time Regularity of Navier–Stokes Flows with Locally L3 Initial Data and Applications

Published:2020-01-11 Issue:11 Volume:2021 Page:8763-8805
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Kang Kyungkeun¹,Miura Hideyuki²,Tsai Tai-Peng³

Affiliation:

1. Department of Mathematics, Yonsei University, Seoul 120-749, South Korea

2. Department of Mathematical and Computing Science, Tokyo Institute of Technology, Tokyo 152-8551, Japan

3. Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada

Abstract

Abstract We prove short time regularity of suitable weak solutions of 3D incompressible Navier–Stokes equations near a point where the initial data is locally in $L^3$. The result is applied to the regularity problems of solutions with uniformly small local $L^3$ norms and of forward discretely self-similar solutions.

Funder

NRF

Yonsei University

JSPS

NSERC

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/article-pdf/2021/11/8763/42309288/rnz327.pdf

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