Gevrey regularity for Navier–Stokes equations under Lions boundary conditions
Copyright policy )Gevrey regularity for Navier–Stokes equations under Lions boundary conditions
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.
27 pages
Mathematics - Analysis of PDEs, Smoothness and regularity of solutions to PDEs, 35Q30, 76D03, Gevrey class regularity, FOS: Mathematics, Navier-Stokes equations, Existence, uniqueness, and regularity theory for incompressible viscous fluids, Analysis of PDEs (math.AP)
Mathematics - Analysis of PDEs, Smoothness and regularity of solutions to PDEs, 35Q30, 76D03, Gevrey class regularity, FOS: Mathematics, Navier-Stokes equations, Existence, uniqueness, and regularity theory for incompressible viscous fluids, Analysis of PDEs (math.AP)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).8 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!