Evolution of fronts for the surface quasi-geostrophic equation
José Luis Rodrigo,
(ICMAT-CSIC MADRID)
Martes 17 de abril 2012
In this talk I will describe recent work with Charles Fefferman on the
construction of almost-sharp fronts solutions for the surface
quasi-geostrophic equation. These are solutions with arbitrarily large
gradient and simple geometry whose time of existence is independent of
their gradient.
The motivation for constructing these objects is that they are
analogous to (arbitrarily thin) vortex tubes for 3D Euler, with the
understanding of an isolating vortex line as a final goal.