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math.AP2024
Large norm inflation of the current in the viscous, non-resistive magnetohydrodynamics equations
Michele Dolce, Niklas Knobel, Christian Zillinger
We consider the ideally conducting, viscous magnetohydrodynamics (MHD) equations in two dimensions. Specifically, we study the nonlinear dynamics near a combination of Couette flow…
math.AP2024
The long way of a viscous vortex dipole
Michele Dolce, Thierry Gallay
We consider the evolution of a viscous vortex dipole in originating from a pair of point vortices with opposite circulations. At high Reynolds number , the dipole ca…