Work

Regularity Criteria of Weak Solutions to the 3D Axisymmetric Incompressible Boussinesq Equations in Lorentz Spaces

Year: 2025

Type: article

Abstract: ABSTRACT In this paper, we derive the regularity criterion of axisymmetric weak solutions to the 3D incompressible Boussinesq equations in Lorentz spaces. To be more precise, it is shown that a Leray–Hopf weak solution is regular on provided that the norm with is small. Our works extend some previous results on this problem to the Lorentz space with respect to temporal variable.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.11161

Authors: Xiang Ji, Shu Wang, Xiaoyu Xi

Institutions: Guangzhou University, Beijing University of Technology

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: National Natural Science Foundation of China, Basic and Applied Basic Research Foundation of Guangdong Province