Profile decompositions and applications to Navier-Stokes

Gabriel S. Koch[1]

  • [1] Department of Mathematics University of Oxford Oxford, UK

Journées Équations aux dérivées partielles (2010)

  • page 1-13
  • ISSN: 0752-0360

Abstract

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In this expository note, we collect some recent results concerning the applications of methods from dispersive and hyperbolic equations to the study of regularity criteria for the Navier-Stokes equations. In particular, these methods have recently been used to give an alternative approach to the L 3 , ∞ Navier-Stokes regularity criterion of Escauriaza, Seregin and Šverák. The key tools are profile decompositions for bounded sequences of functions in critical spaces.

How to cite

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Koch, Gabriel S.. "Profile decompositions and applications to Navier-Stokes." Journées Équations aux dérivées partielles (2010): 1-13. <http://eudml.org/doc/116378>.

@article{Koch2010,
abstract = {In this expository note, we collect some recent results concerning the applications of methods from dispersive and hyperbolic equations to the study of regularity criteria for the Navier-Stokes equations. In particular, these methods have recently been used to give an alternative approach to the $L_\{3,\infty \}$ Navier-Stokes regularity criterion of Escauriaza, Seregin and Šverák. The key tools are profile decompositions for bounded sequences of functions in critical spaces.},
affiliation = {Department of Mathematics University of Oxford Oxford, UK},
author = {Koch, Gabriel S.},
journal = {Journées Équations aux dérivées partielles},
language = {eng},
month = {6},
pages = {1-13},
publisher = {Groupement de recherche 2434 du CNRS},
title = {Profile decompositions and applications to Navier-Stokes},
url = {http://eudml.org/doc/116378},
year = {2010},
}

TY - JOUR
AU - Koch, Gabriel S.
TI - Profile decompositions and applications to Navier-Stokes
JO - Journées Équations aux dérivées partielles
DA - 2010/6//
PB - Groupement de recherche 2434 du CNRS
SP - 1
EP - 13
AB - In this expository note, we collect some recent results concerning the applications of methods from dispersive and hyperbolic equations to the study of regularity criteria for the Navier-Stokes equations. In particular, these methods have recently been used to give an alternative approach to the $L_{3,\infty }$ Navier-Stokes regularity criterion of Escauriaza, Seregin and Šverák. The key tools are profile decompositions for bounded sequences of functions in critical spaces.
LA - eng
UR - http://eudml.org/doc/116378
ER -

References

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