@article{aa9f13f9a64e4f3d8c59931900e5e698,
title = "Analyticity up to the boundary for the stokes and the Navier-Stokes systems",
abstract = "We consider the Stokes and Navier-Stokes equations in a bounded domain with analytic boundary. We present a direct, robust, energy-type approach for establishing the instantaneous gain of space-time analyticity of the solution from any Sobolev smooth initial datum, with analyticity radius which is uniform up to the curved boundary.",
keywords = "Bounded domain, Gevrey regularity, Real analyticity, Stokes equation",
author = "Guher Camliyurt and Igor Kukavica and Vlad Vicol",
note = "Funding Information: Received by the editors January 25, 2019, and, in revised form, August 27, 2019. 2010 Mathematics Subject Classification. Primary 35Q35; Secondary 76D05. Key words and phrases. Real analyticity, Gevrey regularity, bounded domain, Stokes equation. The first author was supported in part by the Ambrose Monell Foundation. The second author was supported in part by the NSF grants DMS-1615239 and DMS-1907992. The third author was supported in part by the NSF grant DMS-1911413. Publisher Copyright: {\textcopyright} 2020 American Mathematical Society",
year = "2020",
doi = "10.1090/tran/7990",
language = "English (US)",
volume = "373",
pages = "3375--3422",
journal = "Transactions of the American Mathematical Society",
issn = "0002-9947",
publisher = "American Mathematical Society",
number = "5",
}