Global unique solutions for 3D inhomogeneous incompressible MHD equations with discontinuous density
Abstract
This paper focuses on proving the global existence and uniqueness of solutions to the three-dimensional inhomogeneous incompressible MHD equations provided that the initial density ρ0 is merely bounded, the initial velocity u0 and magnetic field belong to the critical Sobolev space H˙1/2(R3) with the initial data (u0,b0) being sufficiently small in the Besov space B˙2,∞1/2(R3). This result corresponds to the work established in Abidi, Gui and Zhang ( Communications in Partial Differential Equations, 50(6):841-873, 2025).
Fields of Study & Subjects
Navier-Stokes equation solutions
Nonlinear Partial Differential Equations
Advanced Mathematical Physics Problems
Publication details
- Journal / source
- Applicable Analysis
- Volume
- 105
- Issue
- 12
- Pages
- 2662–2700
- Publication date
- 28 January 2026
- Language
- EN