1999/07/12 by Xue-Shang Feng, Xueshang Feng, Yong Liu +7
Engineering · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions #Plasma Physics (physics.plasm-ph) #Theoretical and Computational Physics #physics.plasm-ph
paper · pdf · doi:10.48550/arxiv.physics/9907016
16 pages, Latex file, 7 EPS figures
openalex publication_date 1999/07/12 · arxiv created 1999/07/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, two classes of exact analytic time-dependent soultion of magnetic annihilation for incompressible magnetic fluid, have been obtained by solving the magnetohydrodynamic (MHD) equations directly. The solutions derived here possess scaling property with time t as the scale factor. Based on these two solutions, we find that, for some given inflow fields, the evolution of the annihilating magnetic field can be described by the solutions of certain ordinary differential equations whose variables are dilated simply by time t. The relevant evolution characteristics in the process of magnetic annihilation are also revealed.