1 research outputs found
Estimate on the dimension of the singular set of the supercritical surface quasigeostrophic equation
We consider the SQG equation with dissipation given by a fractional Laplacian
of order . We introduce a notion of suitable weak solution,
which exists for every initial datum, and we prove that for such solution
the singular set is contained in a compact set in spacetime of Hausdorff
dimension at most