Liouville type Theorems for the 3D stationary Hall‐MHD equations
Zhouyu Li, Pengcheng Niu
2020ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik13 citationsDOI
Abstract
Abstract The purpose of this paper is to establish the Liouville type theorems for the stationary Hall‐MHD equations on . We prove that the velocity and magnetic fields, belonging to some Lorentz spaces, must be zero. In particular, we also show Liouville type results for 3D stationary Navier‐Stokes equations. Our results extend and generalize previous result contained in Kozono, et al., (2017) [15].
Topics & Concepts
MagnetohydrodynamicsType (biology)Lorentz forceLorentz transformationMathematicsZero (linguistics)Mathematical analysisPhysicsMagnetic fieldMathematical physicsClassical mechanicsQuantum mechanicsPhilosophyBiologyLinguisticsEcologyNavier-Stokes equation solutionsAdvanced Mathematical Physics ProblemsFluid Dynamics and Turbulent Flows