Global strong solution to 3D full compressible magnetohydrodynamic flows with vacuum at infinity

作者：Hou, Xiaofeng^*; Jiang, Mina; Peng, Hongyun

来源：Zeitschrift für Angewandte Mathematik und Physik, 2022, 73(1): 13.

DOI：10.1007/s00033-021-01639-y

• Compressible magnetohydrodynamic equations
• Global strong solutions
• Vacuum

In this paper, we consider the Cauchy problem of the full compressible magnetohydrodynamic equations in R-3. When parallel to rho(0)parallel to(L1) + parallel to H0 parallel to(L2) is suitably small, we establish the global existence of the strong solution, where rho(0) and H-0 represent the initial density and magnetic field respectively. Our result shows that the strong solution may have large oscillations and can contain vacuum states.

• 单位
  上海大学; 广东工业大学