Work

Fractional Navier-Stokes equations regularity criteria in terms of deformation tensor

Year: 2025

Type: article

Abstract: We consider the singularity formation of strong solutions to the three-dimensional incompress-ible fractional Navier-Stokes equations in the whole space. By making use of the Bony decomposition technique, we prove that a unique local strong solution does not blow-up at time T if deformation tensor belongs to nonhomogeneous Besov spaces. As a bi-product, the result improves some well-known results on regularity for the particular case of classical Navier-Stokes equations.

Source: Filomat

DOI: 10.2298/fil2501239m

Authors: Dandan Ma, Fan Wu

Institutions: Jiangxi University of Water Resources and Electric Power, Nanchang Institute of Technology

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4412912703

FWCI: 11.54

Cites: 28

Cited by: 6

Related to: 10