Regularity criteria for weak solutions to the Navier-Stokes equations based on spectral projections of vorticity

0380310 - MÚ 2013 RIV FR eng J - Journal Article
Neustupa, Jiří - Penel, P.
Regularity criteria for weak solutions to the Navier-Stokes equations based on spectral projections of vorticity.
Comptes Rendus Mathematique. Roč. 350, 11-12 (2012), s. 597-602. ISSN 1631-073X. E-ISSN 1778-3569
R&D Projects: GA ČR GA201/08/0012
Institutional support: RVO:67985840
Keywords : Navier-Stokes equations * weak solution * regularity
Subject RIV: BA - General Mathematics
Impact factor: 0.477, year: 2012
http://www.sciencedirect.com/science/article/pii/S1631073X12001926#

We denote , where {Eλ} is the spectral resolution of identity associated with the self-adjoint operator curl in the space . Further, we denote , where v is a weak solution to the Navier–Stokes initial value problem in R3×(0,T). We assume that a=a(t) is a real function in (0,T). We show that certain conditions imposed on function a and , or only on the third component of , imply regularity of solution v.
Permanent Link: http://hdl.handle.net/11104/0211049