On Basic Velocity Estimates for the Plane Steady-State Navier–Stokes System and Its Applications Full article
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Journal of Mathematical Fluid Mechanics
ISSN: 1422-6928 , E-ISSN: 1422-6952 |
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| Output data | Year: 2025, Volume: 27, Number: 3, Article number : 37, Pages count : 17 DOI: 10.1007/s00021-025-00939-x | ||||||
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Abstract:
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.
Cite:
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
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
Dates:
| Accepted: | Mar 26, 2025 |
| Published print: | May 10, 2025 |
| Published online: | May 10, 2025 |
Identifiers:
| Web of science: | WOS:001487941900001 |
| Scopus: | 2-s2.0-105004645182 |
| OpenAlex: | W4410265727 |
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