Vorticity Direction and Regularity of Solutions to the Navier-Stokes Equations

Hugo Beirão da Veiga (), Yoshikazu Giga () and Zoran Grujić ()
Additional contact information
Hugo Beirão da Veiga: Università di Pisa, Dipartimento di Matematica
Yoshikazu Giga: University of Tokyo, Graduate School of Mathematical Sciences
Zoran Grujić: University of Virginia, Department of Mathematics

Chapter 18 in Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 2018, pp 901-932 from Springer

Abstract: Abstract It has been well documented – both in computational simulations of the 3D Navier-Stokes equations and the experiments with 3D incompressible turbulent fluid flows – that the regions of intense vorticity self-organize in coherent vortex structures, most notably, vortex filaments. One of the morphological characteristics of these structures is local coherence of the vorticity direction. The goal of this chapter is to review several avenues taken by the mathematical fluids community in order to study how the local coherence of the vorticity direction – a purely geometric condition – influences the possible formation of singularities in solutions to the 3D Navier-Stokes equations.

Date: 2018
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-13344-7_18

Ordering information: This item can be ordered from
http://www.springer.com/9783319133447

DOI: 10.1007/978-3-319-13344-7_18

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().