On Basic Velocity Estimates for the Plane Steady-State Navier–Stokes System and Its Applications | Sciact - Система учета научной деятельности ИМ СО РАН

On Basic Velocity Estimates for the Plane Steady-State Navier–Stokes System and Its Applications Научная публикация

Журнал

Journal of Mathematical Fluid Mechanics
ISSN: 1422-6928 , E-ISSN: 1422-6952

Вых. Данные

Год: 2025, Том: 27, Номер: 3, Номер статьи : 37, Страниц : 17 DOI: 10.1007/s00021-025-00939-x

Авторы

Korobkov Mikhail ^1,2 , Ren Xiao ³

Организации

1	School of Mathematical Sciences, Fudan University
2	Sobolev Institute of Mathematics
3	Beijing International Center for Mathematical Research, Peking University

We consider some new estimates for general steady Navier–Stokes solutions in plane domains. According to our main result, if the domain is convex, then the difference between mean values of the velocity over two concentric circles is bounded (up to a constant factor) by the square-root of the Dirichlet integral in the annulus between the circles. The constant factor in this inequality is universal and does not depend on the ratio of the circle radii. Several applications of these formulas are discussed.

Korobkov M. , Ren X.
On Basic Velocity Estimates for the Plane Steady-State Navier–Stokes System and Its Applications
Journal of Mathematical Fluid Mechanics. 2025. V.27. N3. 37 :1-17. DOI: 10.1007/s00021-025-00939-x WOS Scopus OpenAlex

Принята к публикации:	26 мар. 2025 г.
Опубликована в печати:	10 мая 2025 г.
Опубликована online:	10 мая 2025 г.

Web of science:	WOS:001487941900001
Scopus:	2-s2.0-105004645182
OpenAlex:	W4410265727

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