Small scale dynamics in incompressible fluid flows

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3. Large data global wellposedness for 2D Burgers with hyper-dissipation

Consider the equation

$\partial_t u + u\cdot\nabla u =-\Delta^2 u.$ Can we establish global wellposedness for large data?

Cite this as: AimPL: Small scale dynamics in incompressible fluid flows, available at http://aimpl.org/smallscalefluid.