Higher derivative estimates for the 3D Navier-Stokes equation.
Abstract:
In this talk, we show how the third derivatives of solutions
to the 3D Navier-Stokes equations can be bound in $L^1$ weak.
The proof uses blow-up techniques and relies on a non linear scaling
of the dissipation of energy. Estimates can be obtained by this means
thanks to the galilean invariance of the transport part of the equation.
This is ajoint work with L.Caffarelli.
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