Global regularity criterion for the Navier‐Stokes equations based on the direction of vorticity
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5818
Abstract: We study the regularity criterion for the Navier‐Stokes equations and show that the (β1,β2,β3)‐Hölder continuity assumption in (x1,x2,x3) on the direction of the vorticity ensures the regularity of the solution. This may be viewed as… read more here.
Keywords: navier stokes; stokes equations; regularity criterion; criterion navier ... See more keywords
A refined regularity criterion for the Navier–Stokes equations involving one non-diagonal entry of the velocity gradient
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.04.049
Abstract: Abstract This paper concerns about the regularity criteria for the three-dimensional Navier–Stokes equations. By establishing a more subtle estimate of the crucial convective term in Navier–Stokes equations, we improve [4] and [10] a lot. read more here.
Keywords: regularity criterion; criterion navier; stokes equations; refined regularity ... See more keywords