Global well-posedness for the primitive equations with less regular initial data

Frédéric Charve[1]

  • [1] Université Paris-Est, Laboratoire d’Analyse et de Mathématiques Appliquées, UMR 8050, Université Paris 12, Bâtiment P3, 61 avenue du Général de Gaulle 94010 Créteil, France.

Annales de la faculté des sciences de Toulouse Mathématiques (2008)

  • Volume: 17, Issue: 2, page 221-238
  • ISSN: 0240-2963

Abstract

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This paper is devoted to the study of the lifespan of the solutions of the primitive equations for less regular initial data. We interpolate the globall well-posedness results for small initial data in H ˙ 1 2 given by the Fujita-Kato theorem, and the result from [6] which gives global well-posedness if the Rossby parameter ε is small enough, and for regular initial data (oscillating part in H ˙ 1 2 ∩ H ˙ 1 and quasigeostrophic part in H 1 ).

How to cite

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Charve, Frédéric. "Global well-posedness for the primitive equations with less regular initial data." Annales de la faculté des sciences de Toulouse Mathématiques 17.2 (2008): 221-238. <http://eudml.org/doc/10085>.

@article{Charve2008,
abstract = {This paper is devoted to the study of the lifespan of the solutions of the primitive equations for less regular initial data. We interpolate the globall well-posedness results for small initial data in $\dot\{H\}^\{\frac\{1\}\{2\}\}$ given by the Fujita-Kato theorem, and the result from [6] which gives global well-posedness if the Rossby parameter $\varepsilon $ is small enough, and for regular initial data (oscillating part in $\dot\{H\}^\{\frac\{1\}\{2\}\} \cap \dot\{H\}^1$ and quasigeostrophic part in $H^1$).},
affiliation = {Université Paris-Est, Laboratoire d’Analyse et de Mathématiques Appliquées, UMR 8050, Université Paris 12, Bâtiment P3, 61 avenue du Général de Gaulle 94010 Créteil, France.},
author = {Charve, Frédéric},
journal = {Annales de la faculté des sciences de Toulouse Mathématiques},
keywords = {regular initial data; global well-posedness; primitive equations},
language = {eng},
month = {6},
number = {2},
pages = {221-238},
publisher = {Université Paul Sabatier, Toulouse},
title = {Global well-posedness for the primitive equations with less regular initial data},
url = {http://eudml.org/doc/10085},
volume = {17},
year = {2008},
}

TY - JOUR
AU - Charve, Frédéric
TI - Global well-posedness for the primitive equations with less regular initial data
JO - Annales de la faculté des sciences de Toulouse Mathématiques
DA - 2008/6//
PB - Université Paul Sabatier, Toulouse
VL - 17
IS - 2
SP - 221
EP - 238
AB - This paper is devoted to the study of the lifespan of the solutions of the primitive equations for less regular initial data. We interpolate the globall well-posedness results for small initial data in $\dot{H}^{\frac{1}{2}}$ given by the Fujita-Kato theorem, and the result from [6] which gives global well-posedness if the Rossby parameter $\varepsilon $ is small enough, and for regular initial data (oscillating part in $\dot{H}^{\frac{1}{2}} \cap \dot{H}^1$ and quasigeostrophic part in $H^1$).
LA - eng
KW - regular initial data; global well-posedness; primitive equations
UR - http://eudml.org/doc/10085
ER -

References

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