Well-posedness issues for the Prandtl boundary layer equations

David Gérard-Varet[1]; Nader Masmoudi[2]

  • [1] Univ Paris Diderot, Sorbonne Paris Cité, Institut de Mathématiques de Jussieu-Paris Rive Gauche, UMR 7586, CNRS, Sorbonne Universités, UPMC Univ Paris 06, F-75013, Paris, France
  • [2] Courant Institute, NYU, 251 Mercer Street, New-York 10012 USA

Séminaire Laurent Schwartz — EDP et applications (2013-2014)

  • Volume: 48, Issue: 6, page 1-10
  • ISSN: 2266-0607

Abstract

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These notes are an introduction to the recent paper [7], about the well-posedness of the Prandtl equation. The difficulties and main ideas of the paper are described on a simpler linearized model.

How to cite

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Gérard-Varet, David, and Masmoudi, Nader. "Well-posedness issues for the Prandtl boundary layer equations." Séminaire Laurent Schwartz — EDP et applications 48.6 (2013-2014): 1-10. <http://eudml.org/doc/275693>.

@article{Gérard2013-2014,
abstract = {These notes are an introduction to the recent paper [7], about the well-posedness of the Prandtl equation. The difficulties and main ideas of the paper are described on a simpler linearized model.},
affiliation = {Univ Paris Diderot, Sorbonne Paris Cité, Institut de Mathématiques de Jussieu-Paris Rive Gauche, UMR 7586, CNRS, Sorbonne Universités, UPMC Univ Paris 06, F-75013, Paris, France; Courant Institute, NYU, 251 Mercer Street, New-York 10012 USA},
author = {Gérard-Varet, David, Masmoudi, Nader},
journal = {Séminaire Laurent Schwartz — EDP et applications},
keywords = {boundary layer; Prandtl equation; Navier-Stokes equation; Gevrey spaces},
language = {eng},
number = {6},
pages = {1-10},
publisher = {Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Well-posedness issues for the Prandtl boundary layer equations},
url = {http://eudml.org/doc/275693},
volume = {48},
year = {2013-2014},
}

TY - JOUR
AU - Gérard-Varet, David
AU - Masmoudi, Nader
TI - Well-posedness issues for the Prandtl boundary layer equations
JO - Séminaire Laurent Schwartz — EDP et applications
PY - 2013-2014
PB - Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 48
IS - 6
SP - 1
EP - 10
AB - These notes are an introduction to the recent paper [7], about the well-posedness of the Prandtl equation. The difficulties and main ideas of the paper are described on a simpler linearized model.
LA - eng
KW - boundary layer; Prandtl equation; Navier-Stokes equation; Gevrey spaces
UR - http://eudml.org/doc/275693
ER -

References

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