Convergence of approximating solutions of the Navier–Stokes equations in higher ordered Sobolev norms
Year: 2025
Type: article
Abstract: We show that the approximating solutions of the Navier–Stokes equations constructed by Kato with the initial data converge to the local strong solution in the topology of for all provided the convergence in the scaling invariant norm in with the time weight holds. As an application of our convergence, it is clarified that the approximation of the pressure is established in .
Source: Mathematische Nachrichten
DOI: 10.1002/mana.12009
Author: Yuta Koizumi
Institution: Waseda University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4409467270