Diego Córdoba

Instituto de Ciencias Matemáticas (ICMAT)

Ill-posedness and non existence results for the generalized SQG equation

In this talk we present recent results on the existence of solutions of the generalized Surface Quasi-geostrophic equations (gSQG) that initially are in $C^k$, $C^{k,\gamma }$ or in supercritical Sobolev spaces, but lose that prescribe regularity for $t>0$. This is a joint work with Luis Martinez-Zoroa.