Work

Besov Mixed-Morrey Spaces: On an Application to the Navier–Stokes Equations

Year: 2026

Type: article

Abstract: In this paper we introduce two new classes of functional spaces, namely, Besov mixed-Morrey spaces and Fourier–Besov mixed-Morrey spaces, and then we establish some basic properties for these classes. Moreover, we explore the d -dimensional incompressible Navier–Stokes equations in this context, by a Bony’s paraproduct approach, in order to get the global well-posedness for small initial data. These results provide a new class of initial data with a sort of anisotropy in relation to its spatial variables or frequency variables.

Source: Bulletin of the Brazilian Mathematical Society New Series

DOI: 10.1007/s00574-026-00510-w

Authors: Leithold L. Aurazo-Alvarez, Wladimir Neves

Institution: Universidade Federal do Rio de Janeiro

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro