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A regularity criterion of Serrin-type for the Navier–Stokes equations involving the gradient of one velocity component
Veröffentlicht/Copyright:
27. August 2015
Abstract
In the present paper we prove that a weak Leray solution to the Navier–Stokes equations in
Funding source: Korea Federation of Science and Technology Societies
Award Identifier / Grant number: Brain Pool Project 141S-1-3-0022
The author wishes to thank the organizers of the Luminy conference for the opportunity to present his result. Additionally, thanks to Prof. Y. Zhou for his invitation to the first joint Chinese-German conference on fluid and gas dynamics in Jinhua, China 2010, where parts of the result (in particular the method illustrated in the appendix) were presented.
Received: 2014-12-3
Revised: 2015-5-14
Accepted: 2015-8-6
Published Online: 2015-8-27
Published in Print: 2015-11-1
© 2015 by De Gruyter
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Artikel in diesem Heft
- Frontmatter
- Time delay and Lagrangian approximation for Navier–Stokes flow
- Compressible Navier–Stokes limit of binary mixture of gas particles
- On asymptotic stability of global solutions in the weak L2 space for the two-dimensional Navier–Stokes equations
- A regularity criterion of Serrin-type for the Navier–Stokes equations involving the gradient of one velocity component
- Steady-state flow of a shear-thinning liquid in an unbounded pipeline system
- Well-posedness for coupled bulk-interface diffusion with mixed boundary conditions
- On the steady flow of reactive gaseous mixture
- Spectral stability of Prandtl boundary layers: An overview
Artikel in diesem Heft
- Frontmatter
- Time delay and Lagrangian approximation for Navier–Stokes flow
- Compressible Navier–Stokes limit of binary mixture of gas particles
- On asymptotic stability of global solutions in the weak L2 space for the two-dimensional Navier–Stokes equations
- A regularity criterion of Serrin-type for the Navier–Stokes equations involving the gradient of one velocity component
- Steady-state flow of a shear-thinning liquid in an unbounded pipeline system
- Well-posedness for coupled bulk-interface diffusion with mixed boundary conditions
- On the steady flow of reactive gaseous mixture
- Spectral stability of Prandtl boundary layers: An overview
