Non‐uniqueness of Leray–Hopf solutions to the forced fractional Navier–Stokes equations in three dimensions, up to the J. L. Lions exponent-Reference-Cited by-同舟云学术

Non‐uniqueness of Leray–Hopf solutions to the forced fractional Navier–Stokes equations in three dimensions, up to the J. L. Lions exponent

Published:2023-07-19 Issue: Volume: Page:
ISSN:0024-6093
Container-title:Bulletin of the London Mathematical Society
language:en
Short-container-title:Bulletin of London Math Soc

Author:

Khor Calvin¹,Miao Changxing²,Su Xiaoyan³^ORCID

Affiliation:

1. Beijing Computational Science Research Center Beijing China

2. Institute of Applied Physics and Computational Mathematics Beijing China

3. Laboratory of Mathematics and Complex Systems, Ministry of Education, School of Mathematical Sciences Beijing Normal University Beijing China

Abstract

AbstractIn this paper, we show that for , there exists a force and two distinct Leray–Hopf flows solving the forced fractional Navier–Stokes equation starting from rest. This shows that the J. L. Lions exponent is sharp in the class of Leray–Hopf solutions for the forced fractional Navier–Stokes equation.

Funder

National Key Research and Development Program of China

National Natural Science Foundation of China

Publisher

Wiley

Subject

General Mathematics

Link

https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/blms.12889

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