The optimal regularity criterion for the Navier‐Stokes equations in terms of one directional derivative of the velocity. Issue 1 (12th September 2019)

• Record Type: Journal Article
• Authors: Namlyeyeva, Yuliya; Skalak, Zdenek
• Is Part Of: Zeitschrift für angewandte Mathematik und Mechanik. Volume 100:Issue 1(2020)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2019-09-12
• Subjects: anisotropic spaces -- Navier‐Stokes equations -- regularity criteria -- Troisi inequality; Mathematics -- Periodicals; Mechanics, Applied -- Periodicals; Engineering -- Periodicals; 519
• DOI: 10.1002/zamm.201800114
• Languages: English
• ISSNs: 0044-2267

Abstract

Abstract: We study the regularity criterion for the Navier‐Stokes equations in terms of one directional derivative of the velocity field. Using a suitable multiplicative Sobolev inequality we extend the results by Kukavica & Ziane, Cao and Zhang. Abstract : We study the regularity criterion for the Navier‐Stokes equations in terms of one directional derivative of the velocity field. Using a suitable multiplicative Sobolev inequality we extend the results by Kukavica & Ziane, Cao and Zhang.