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 | |
| Editors | |
| Added by: | [JP] |
| Total mark: | 0 |
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