Global well-posedness to the 3D Cauchy problem of inhomogeneous heat-conducting magnetohydrodynamic equations with temperature-dependent viscosity and resistivity coefficients | Synapse
March 3, 2026
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.