Singularity Formation to the Radial Symmetric Compressible MHD Equations

Key Points

• This research aims to investigate how classical solutions to radial symmetric compressible MHD equations develop singularities in finite time.
• Analyzed the compressible magnetohydrodynamic equations in two and three dimensions.
• Assumed initial conditions with radial symmetry and vanishing sound speed at the origin.
• Explored the formation of singularities under ideal fluid flow conditions.
• Classical solutions to the MHD equations develop singularities in finite time.
• The presence of radial symmetry and vanishing initial sound speed contributes to this outcome.