| Abstract: |
| In this talk, we establish the well-posedness of a scaled anisotropic Navier-Stokes-Maxwell
system in a 2D striped domain with a transverse magnetic field around (0,0,1) in Gevrey-2 class.
Then we justify the limit from the scaled anisotropic equations to the associated hydrostatic system and establish the precise convergence rate. Finally, we prove the global stability of the state (0,0,1) and show that small perturbations decay down exponentially.
We will conclude the talk by giving some evidence that the Gevrey-2 class is optimal. |
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