@article{df5bbd864d6746229df0febac05fd7a4,
title = "Gevrey regularity for the Navier–Stokes in a half-space",
abstract = "We consider the Navier–Stokes equations posed on the half space, with Dirichlet boundary conditions. We give a direct energy-based proof for the instantaneous space–time analyticity and Gevrey-class regularity of the solution, uniformly up to the boundary of the half space.",
keywords = "Bounded domain, Gevrey regularity, Navier–Stokes equations, Real analyticity",
author = "Guher Camliyurt and Igor Kukavica and Vlad Vicol",
note = "Funding Information: GC and IK were supported in part by the NSF grant DMS-1615239, while VV was supported in part by the NSF grant DMS-1652134 and an Alfred P. Sloan Fellowship. Funding Information: GC and IK were supported in part by the NSF grant DMS-1615239 , while VV was supported in part by the NSF grant DMS-1652134 and an Alfred P. Sloan Fellowship. Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",
year = "2018",
month = nov,
day = "5",
doi = "10.1016/j.jde.2018.05.026",
language = "English (US)",
volume = "265",
pages = "4052--4075",
journal = "Journal of Differential Equations",
issn = "0022-0396",
publisher = "Academic Press Inc.",
number = "9",
}