Global unique solutions with instantaneous loss of regularity for SQG with fractional diffusion
Analysis of PDEs
2024-09-27 v3
Abstract
In this work we construct global unique solutions of the dissipative Surface quasi-geostrophic equation (-SQG) that lose regularity instantly when there is super-critical fractional diffusion.
Keywords
Cite
@article{arxiv.2303.07178,
title = {Global unique solutions with instantaneous loss of regularity for SQG with fractional diffusion},
author = {Diego Córdoba and Luis Martínez-Zoroa},
journal= {arXiv preprint arXiv:2303.07178},
year = {2024}
}
Comments
39 pages. Corrections added, some proofs have been rewritten to help readability