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

摘要

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.

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