Article ID Journal Published Year Pages File Type
4666815 Advances in Mathematics 2010 10 Pages PDF
Abstract

We study the formation of singularities of a 1D non-linear and non-local equation. We show that this equation provides solutions of the surface quasi-geostrophic equation with infinite energy. The existence of self-similar solutions and the blow-up for classical solutions are shown.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)