Acta mathematica scientia,Series A ›› 2026, Vol. 46 ›› Issue (1): 215-237.

• Original article • Previous Articles     Next Articles

Global Well-Posedness of Strong Solutions to Compressible Magnetohydrodynamic System with Large Initial Data in 3D Bounded Domains

Mingyu Zhang()   

  1. School of Mathematics and Statistics, Weifang University, Shandong Weifang 261061
  • Received:2025-03-31 Revised:2025-07-08 Online:2026-02-26 Published:2026-01-19
  • Supported by:
    Natural Science Foundation of Shandong Province(ZR2024MA033)

Abstract:

The three-dimensional (3D) compressible magnetohydrodynamic system is studied in a bounded rectangular domain with slip boundary condition for the velocity field and perfect conduction for the magnetic field. For the regular initial data with large energy, the global well-posedness of strong solutions to the initial-boundary-value problem of this system is obtained.

Key words: compressible magnetohydrodynamic system, global strong solutions, uniqueness, large initial data

CLC Number: 

  • O175.2
Trendmd