Number of the records: 1
Regularity criteria for weak solutions to the Navier-Stokes equations based on spectral projections of vorticity
- 1.
SYSNO ASEP 0380310 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Regularity criteria for weak solutions to the Navier-Stokes equations based on spectral projections of vorticity Author(s) Neustupa, Jiří (MU-W) RID, SAI, ORCID
Penel, P. (FR)Source Title Comptes Rendus Mathematique. - : Elsevier - ISSN 1631-073X
Roč. 350, 11-12 (2012), s. 597-602Number of pages 6 s. Language eng - English Country FR - France Keywords Navier-Stokes equations ; weak solution ; regularity Subject RIV BA - General Mathematics R&D Projects GA201/08/0012 GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 UT WOS 000310124700011 EID SCOPUS 84864824838 DOI https://doi.org/10.1016/j.crma.2012.06.008 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2013
Number of the records: 1