Remarks on the relativistic self-dual Maxwell-Chern-Simons-Higgs system.
Regularity of solutions to the Navier-Stokes equation.
Existence of axisymmetric weak solutions of the 3-D Euler equations for near-vortex-sheet initial data.
On the conditional regularity of the Navier-Stokes and related equations
We present regularity conditions for a solution to the 3D Navier-Stokes equations, the 3D Euler equations and the 2D quasigeostrophic equations, considering the vorticity directions together with the vorticity magnitude. It is found that the regularity of the vorticity direction fields is most naturally measured in terms of norms of the Triebel-Lizorkin type.
On planar selfdual electroweak vortices
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