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A generalization of some regularity criteria to the Navier-Stokes equations involving one velocity component
Type of publication: Misc
Citation:
Publication status: Accepted
Booktitle: Recent Developments of Mathematical Fluid Mechanics
Series: Advances in Mathematical Fluid Mechanics
Year: 2014
Publisher: Birkhauser-Verlag
Abstract: We present generalizations of results concerning conditional global regularity of weak Leray–Hopf solutions to incompressible Navier– Stokes equations presented by Zhou and Pokorny´ in articles [15], [17], and [18]; see also [13]. We are able to replace the condition on one velocity compo- nent (or its gradient) by a corresponding condition imposed on a projection of the velocity (or its gradient) onto a more general vector field. Comparing to our other recent results from [1], the conditions imposed on the projection are more restrictive here, however due to the technique used in [1], there appeared a specific additional restriction on geometrical properties of the reference field, which could be omitted here.
Preprint project: NCMM
Preprint year: 2014
Preprint number: 11
Preprint ID: NCMM/2014/11
Keywords: global regularity, Incompressible Navier–Stokes equations, regularity criteria.
Authors Axmann, Šimon
Pokorný, Milan
Editors Galdi, Giovanni P.
Heywood, John G.
Rannacher, Rolf
Added by: [JP]
Total mark: 0
Attachments
  • NCMM_11_14.pdf
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