2020/09/01 by E. A. Kuznetsov, Е. А. Кузнецов, E. A. Mikhailov +1
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Astro and Planetary Science #Classical mechanics #Compressibility #Dynamo #Dynamo theory #Geomagnetism and Paleomagnetism Studies #Geometry #Induction equation #Kinematics #Magnetic field #Magnetohydrodynamics #Mathematics #Mechanics #Physics #Quantum mechanics #Singularity #Solar and Space Plasma Dynamics #astro-ph.SR #physics.flu-dyn
paper · pdf · doi:10.1134/s106377612009006x
published as Journal of Experimental and Theoretical Physics (2020) 131 496
openalex publication_date 2020/09/01 · openalex created_date 2020/11/09 · arxiv created 2022/02/15 · arxiv updated 2022/02/17 · openalex updated_date 2026/08/05
We consider the magnetic collapse as a possible process of the magnetic field singularity formation in a finite time in the framework of ideal magnetohydrodynamics for incompressible fluids, which is important for various astrophysical applications (in particular, as the mechanism of formation of magnetic filaments in the convective zone of the Sun). The possibility of collapse is associated with the compressibility of the continuously distributed magnetic field lines. The well-known example of magnetic filament formation in the kinematic dynamo approximation with a given velocity field, which was considered for the first time by Parker in 1963, rather indicates that the magnetic field increases with time exponentially. In the case of the kinematic approximation for the induction equation, the filaments are formed in regions with a hyperbolic velocity profile.