Global well-posedness to the 3D Cauchy problem of inhomogeneous heat-conducting magnetohydrodynamic equations with temperature-dependent viscosity and resistivity coefficients

Key Points

• Global well-posedness is established for the inhomogeneous heat-conducting magnetohydrodynamic equations.
• Key parameters include temperature-dependent viscosity and resistivity coefficients, which impact fluid stability.
• The analysis focuses on the 3D Cauchy problem, revealing stability of solutions over time.
• The findings may suggest new avenues for mathematical approaches in fluid dynamics.