Gevrey regularity for Navier--Stokes equations under Lions boundary conditions

Authors :: Phan, Duy
Rodrigues, Sérgio S.
Source :: Journal of Functional Analysis, Volume 272, Issue 7, 1 April 2017, Pages 2865-2898
Publication Year :: 2016
Abstract: The Navier--Stokes system is considered in a compact Riemannian manifold. Gevrey class regularity is proven under Lions boundary conditions: in 2D for the Rectangle, Cylinder, and Hemisphere, and in 3D for the Rectangle. The cases of the 2D Sphere and 2D and 3D Torus are also revisited.<br />Comment: 27 pages

Database :: arXiv
Journal :: Journal of Functional Analysis, Volume 272, Issue 7, 1 April 2017, Pages 2865-2898
Publication Type :: Report
Accession number :: edsarx.1608.02419
Document Type :: Working Paper
Full Text :: https://doi.org/10.1016/j.jfa.2017.01.014