Estimates Up to the Boundary of a Weak Solution to the Navier-Stokes Equation in a Cube in Dependence on Eigenvalues of the Rate of Deformation Tensor
Result description
We formulate sufficient conditions for regularity up to the boundary of a weak solution v in a subdomain Omega x (t1,t2) of the time-space cylinder Omega x (0,T) by means of requirements on one of the eigenvalues of the rate of deformation tensor. We assume that Omega is a cube.
Keywords
The result's identifiers
Result code in IS VaVaI
Result on the web
—
DOI - Digital Object Identifier
—
Alternative languages
Result language
angličtina
Original language name
Estimates Up to the Boundary of a Weak Solution to the Navier-Stokes Equation in a Cube in Dependence on Eigenvalues of the Rate of Deformation Tensor
Original language description
We formulate sufficient conditions for regularity up to the boundary of a weak solution v in a subdomain Omega x (t1,t2) of the time-space cylinder Omega x (0,T) by means of requirements on one of the eigenvalues of the rate of deformation tensor. We assume that Omega is a cube.
Czech name
Odhady až k hranici slabého řešení Navierovy-Stokesovy rovnice v krychli v závislosti na vlastních číslech tenzoru rychlosti deformace
Czech description
Formulujeme postačující podmínky pro regularitu až k hranici slabého řešení v podoblasti Omega x(t1,t2) časoprostorového válce Omega x (0,T) pomocí požadavku na jedno z vlastních čísel tenzoru rychlosti deformace. Předpokládáme, že Omega je krychle.
Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—
Result continuities
Project
GA201/05/0005: Mathematical theory and numerical simulation of problems of fluid mechanics
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2005
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Banach Center Publication
ISSN
0137-6934
e-ISSN
—
Volume of the periodical
70
Issue of the periodical within the volume
4
Country of publishing house
PL - POLAND
Number of pages
13
Pages from-to
185-197
UT code for WoS article
—
EID of the result in the Scopus database
—
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BA - General mathematics
Year of implementation
2005