On Regularity of a Weak Solution to the Navier–Stokes Equations with the Generalized Navier Slip Boundary Conditions
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-03-01
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The paper shows that the regularity up to the boundary of a weak solution v of the Navier–Stokes equation with generalized Navier’s slip boundary conditions follows from certain rate of integrability of at least one of the functions ζ1, (ζ2)+ (the positive part of ζ2), and ζ3, where ζ1≤ζ2≤ζ3 are the eigenvalues of the rate of deformation tensor D(v).
A regularity criterion in terms of the principal invariants of tensor D(v) is also formulated.
American Psychological Association (APA)
Neustupa, Jiří& Penel, Patrick. 2018. On Regularity of a Weak Solution to the Navier–Stokes Equations with the Generalized Navier Slip Boundary Conditions. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1119161
Modern Language Association (MLA)
Neustupa, Jiří& Penel, Patrick. On Regularity of a Weak Solution to the Navier–Stokes Equations with the Generalized Navier Slip Boundary Conditions. Advances in Mathematical Physics No. 2018 (2018), pp.1-7.
https://search.emarefa.net/detail/BIM-1119161
American Medical Association (AMA)
Neustupa, Jiří& Penel, Patrick. On Regularity of a Weak Solution to the Navier–Stokes Equations with the Generalized Navier Slip Boundary Conditions. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1119161
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119161