Remark on smoothing property of weak solutions for the Navier-Stokes equations

Motofumi Aoki; Tsukasa Iwabuchi

Remark on smoothing property of weak solutions for the Navier-Stokes equations

SCI - Mathematics

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

Abstract

We consider a sufficient condition for the regularity of a weak solution for the incompressible Navier-Stokes equations on ℝ^d. We prove a smoothing property of the weak solution near the initial time under the condition that a scale invariant norm written by BMO is finite.

Original language	English
Pages (from-to)	199-222
Number of pages	24
Journal	Differential and Integral Equations
Volume	34
Issue number	3-4
Publication status	Published - 2021 Mar

ASJC Scopus subject areas

Analysis
Applied Mathematics

Cite this

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title = "Remark on smoothing property of weak solutions for the Navier-Stokes equations",

abstract = "We consider a sufficient condition for the regularity of a weak solution for the incompressible Navier-Stokes equations on ℝd. We prove a smoothing property of the weak solution near the initial time under the condition that a scale invariant norm written by BMO is finite.",

author = "Motofumi Aoki and Tsukasa Iwabuchi",

note = "Funding Information: Acknowledgement. The second author was supported by the Grant-in-Aid for Young Scientists (A) (No.17H04824) from JSPS. Publisher Copyright: {\textcopyright} 2021 Differential and Integral Equations.",

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AU - Iwabuchi, Tsukasa

N1 - Funding Information: Acknowledgement. The second author was supported by the Grant-in-Aid for Young Scientists (A) (No.17H04824) from JSPS. Publisher Copyright: © 2021 Differential and Integral Equations.

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Remark on smoothing property of weak solutions for the Navier-Stokes equations

Abstract

ASJC Scopus subject areas

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