Speaker
Eduardo Notte Cuello
(DMAT ULS)
Description
We extend the spectral regularity criteria of the Prodi-Serrin kind for the Navier-Stokes
equations in a torus to the MHD equations. More precisely, the following is established: for any N > 0, let x_N and y_N be the sum of all spectral components of the velocity and magnetic field whose wave numbers possess absolute value greater that N; then, it is possible to show that for any N the finiteness of the Prodi-Serrin norm of x N implies the regularity of the weak solution (u, h); thus, no restriction on the magnetic field is needed.
Primary author
Eduardo Notte Cuello
(DMAT ULS)
