Global unique solutions with instantaneous loss of regularity for SQG with fractional diffusion
- Resource Type
- Working Paper
- Authors
- Córdoba, Diego; Martínez-Zoroa, Luis
- Source
- Subject
- Mathematics - Analysis of PDEs
- Language
In this work we construct global unique solutions of the dissipative Surface quasi-geostrophic equation ($\alpha$-SQG) that lose regularity instantly when there is super-critical fractional diffusion.
Comment: 38 pages. Some minor corrections and remarks added