The Liouville theorems for 3D stationary inhomogeneous incompressible MHD equations
Annales Polonici Mathematici
MSC: Primary 35B53; Secondary 35Q35, 76W05
DOI: 10.4064/ap231129-14-5
Published online: 14 June 2024
Abstract
We consider the Liouville theorems for the 3D stationary inhomogeneous incompressible MHD equations. Specifically, we prove that if $(\rho ,u,b)$ satisfies some integrable conditions in the Lebesgue, Lorentz and local Morrey spaces, then the solution is trivial. Our results generalize and improve the corresponding results of P. Liu [J. Math. Anal. Appl. 521 (2023), art. 126945].
