@article{ce63759afeee4f98b26b38be2692e4f6,
title = "On the existence of stationary patches",
abstract = "In this paper, we show the existence of the first nontrivial family of analytic stationary patch solutions of the SQG and gSQG equations. This answers an open problem in F. de la Hoz et al. (2016) [13].",
keywords = "Bifurcation theory, Incompressible, Patch, Stationary, Surface quasi-geostrophic",
author = "Javier G{\'o}mez-Serrano",
note = "Funding Information: J.G.-S. was partially supported by the grant MTM2014-59488-P (Spain), by the ICMAT-Severo Ochoa grant SEV-2015-0554 , by the Simons Collaboration Grant 524109 and by the NSF-DMS 1763356 Grant. We would like to thank Angel Castro and Diego C{\'o}rdoba for useful discussions. Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",
year = "2019",
month = feb,
day = "5",
doi = "10.1016/j.aim.2018.11.012",
language = "English (US)",
volume = "343",
pages = "110--140",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press Inc.",
}