On some Liouville type theorems for the stationary equations of MHD

2018/06/09 by Zhouyu Li, Pan Liu, Li, Zhouyu +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1806.03427

openalex publication_date 2018/06/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove several Liouville type results for the stationary Hall-MHD and MHD equations. In particular, we show that the velocity and magnetic field, belonging to some Lorentz spaces, must be zero.

Citations

• Global small solutions to three-dimensional incompressible MHD system
• A Liouville Type Theorem for Steady-State Navier-Stokes Equations

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