Analyticity of solutions to the stationary Navier–Stokes equations via parameter trick

Hideo Kozono; Senjo Shimizu

doi:10.1016/j.nonrwa.2025.104319

Analyticity of solutions to the stationary Navier–Stokes equations via parameter trick

Hideo Kozono^*, Senjo Shimizu

^*この研究の対応する著者

基幹理工学部

研究成果: Article › 査読

抄録

We prove analyticity of small solutions to the stationary Navier–Stokes equations in the scaling invariant homogeneous Besov space by using the method of “parameter trick”. This method has been known as an elegant technique for the proof of time–space analyticity of solutions to semi-linear and even quasi-linear parabolic equations. Such a method enables us to apply to the proof for the nonlinear elliptic systems.

本文言語	English
論文番号	104319
ジャーナル	Nonlinear Analysis: Real World Applications
巻	84
DOI	https://doi.org/10.1016/j.nonrwa.2025.104319
出版ステータス	Published - 2025 8月

ASJC Scopus subject areas

分析
工学一般
経済学、計量経済学および金融学一般
計算数学
応用数学

文献へのアクセス

10.1016/j.nonrwa.2025.104319

他のファイルとリンク

引用スタイル

@article{249d2f3f213f4fb28b9d2d4b82e65b75,

title = "Analyticity of solutions to the stationary Navier–Stokes equations via parameter trick",

abstract = "We prove analyticity of small solutions to the stationary Navier–Stokes equations in the scaling invariant homogeneous Besov space by using the method of “parameter trick”. This method has been known as an elegant technique for the proof of time–space analyticity of solutions to semi-linear and even quasi-linear parabolic equations. Such a method enables us to apply to the proof for the nonlinear elliptic systems.",

keywords = "Analyticity, Homogeneous Besov space, Parameter trick, Scale invariant, Stationary Navier–Stokes equations",

author = "Hideo Kozono and Senjo Shimizu",

note = "Publisher Copyright: {\textcopyright} 2025",

year = "2025",

month = aug,

doi = "10.1016/j.nonrwa.2025.104319",

language = "English",

volume = "84",

journal = "Nonlinear Analysis: Real World Applications",

issn = "1468-1218",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - Analyticity of solutions to the stationary Navier–Stokes equations via parameter trick

AU - Kozono, Hideo

AU - Shimizu, Senjo

PY - 2025/8

Y1 - 2025/8

N2 - We prove analyticity of small solutions to the stationary Navier–Stokes equations in the scaling invariant homogeneous Besov space by using the method of “parameter trick”. This method has been known as an elegant technique for the proof of time–space analyticity of solutions to semi-linear and even quasi-linear parabolic equations. Such a method enables us to apply to the proof for the nonlinear elliptic systems.

AB - We prove analyticity of small solutions to the stationary Navier–Stokes equations in the scaling invariant homogeneous Besov space by using the method of “parameter trick”. This method has been known as an elegant technique for the proof of time–space analyticity of solutions to semi-linear and even quasi-linear parabolic equations. Such a method enables us to apply to the proof for the nonlinear elliptic systems.

KW - Analyticity

KW - Homogeneous Besov space

KW - Parameter trick

KW - Scale invariant

KW - Stationary Navier–Stokes equations

UR - http://www.scopus.com/inward/record.url?scp=85215926259&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85215926259&partnerID=8YFLogxK

U2 - 10.1016/j.nonrwa.2025.104319

DO - 10.1016/j.nonrwa.2025.104319

M3 - Article

AN - SCOPUS:85215926259

SN - 1468-1218

VL - 84

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

M1 - 104319

ER -

Analyticity of solutions to the stationary Navier–Stokes equations via parameter trick

抄録

ASJC Scopus subject areas

文献へのアクセス

他のファイルとリンク

フィンガープリント

引用スタイル