Well‐posedness of the two‐dimensional stationary Navier–Stokes equations around a uniform flow

Mikihiro Fujii and Hiroyuki Tsurumi

Mathematische Nachrichten, 2024, vol. 297, issue 12, 4401-4415

Abstract: In this paper, we consider the solvability of the two‐dimensional stationary Navier–Stokes equations on the whole plane R2$\mathbb {R}^2$. In Fujii [Ann. PDE, 10 (2024), no. 1. Paper No. 10], it was proved that the stationary Navier–Stokes equations on R2$\mathbb {R}^2$ is ill‐posed for solutions around zero. In contrast, considering solutions around the nonzero constant flow, the perturbed system has a better regularity in the linear part, which enables us to prove the unique existence of solutions in the scaling critical spaces of the Besov type.

Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1002/mana.202400011

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:297:y:2024:i:12:p:4401-4415

Ordering information: This journal article can be ordered from
http://www.blackwell ... bs.asp?ref=0025-584X

Access Statistics for this article

Mathematische Nachrichten is currently edited by Robert Denk

More articles in Mathematische Nachrichten from Wiley Blackwell
Bibliographic data for series maintained by Wiley Content Delivery ().