Well‐posedness of the two‐dimensional stationary Navier–Stokes equations around a uniform flow
Year: 2024
Type: article
Abstract: In this paper, we consider the solvability of the two‐dimensional stationary Navier–Stokes equations on the whole plane . In Fujii [Ann. PDE, 10 (2024), no. 1. Paper No. 10], it was proved that the stationary Navier–Stokes equations on 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.
Source: Mathematische Nachrichten
Authors: Mikihiro Fujii, Hiroyuki Tsurumi
Institutions: Kyushu University, Tokushima University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4402890336