On some Liouville type Theorems for the stationary MHD and Hall-MHD equations

2019/02/02 by Zhouyu Li, Pan Liu, Li, Zhouyu +3
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.1902.00740

openalex publication_date 2019/02/02 · openalex created_date 2019/02/21 · openalex updated_date 2026/07/28

Abstract

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

Citations

• Global small solutions to three-dimensional incompressible MHD system

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