A BKM type blow-up criterion of strong solutions to the 3D inhomogeneous incompressible magnetohydrodynamic equations with initial vacuum
Abstract
In this paper, we consider the regularity of 3D inhomogeneous incompressible magnetohydrodynamic (MHD) equations with initial vacuum, and establish a new regularity criterion in terms of only infinite modulus of gradient of velocity, which is known for the incompressible/compressible MHD equations. As far as we know, the result obtained in this paper is the first BKM type criterion for 3D inhomogeneous incompressible MHD equations with initial vacuum. In addition, we establish the blow-up criterion for the inhomogeneous incompressible Navier-Stokes equations.
Fields of Study & Subjects
Navier-Stokes equation solutions
Nonlinear Partial Differential Equations
Advanced Mathematical Physics Problems
Publication details
- Journal / source
- Journal of Inequalities and Applications
- Volume
- 2026
- Issue
- 1
- Publication date
- 4 March 2026
- Language
- EN