hal-00694541, version 1

NUMERICAL SIMULATIONS OF A 2D QUASI GEOSTROPHIC EQUATION

Jean-Paul Chehab (, ) ^1, 2, Maithem Trabelsi Moalla () ³

• 1:  SIMPAF (INRIA Lille - Nord Europe)
• 
  INRIA – Université Lille I - Sciences et technologies – CNRS : UMR France
• 2:  Laboratoire Amiénois de Mathématique Fondamentale et Appliquée (LAMFA)
• http://www.lamfa.u-picardie.fr/
  CNRS : UMR6140 – Université de Picardie Jules Verne France
• 3:  Departement de Mathématiques, Unité de recherche : Multi-Fractals et Ondelettes Faculté des Sciences de Monastir
• 
  Faculté des Sciences de Monastir Av. de l'environnement, 5000 Monastir Tunisia

Bibliographic reference

• Type of document: Research reports
• Subject: Mathematics/Numerical Analysis
• Title: NUMERICAL SIMULATIONS OF A 2D QUASI GEOSTROPHIC EQUATION
• Abstract: This paper deals with the numerical simulations of the 2D generalized quasi geostrophic equation, where the velocity field is related to the solution µ by a rotation of Riesz transforms. Depending on the parameters of the problem, we present numerical evidences for long time behavior of the solution such as global existence effects or blow up in finite time.
• Fulltext language: English
• Production date: 2012-05-04
• Keyword(s): quasi geostrophic equations – long time behavior – blow up – Fourier pseudo spectral method
• Classification: 65M70 ; 65M12 ; 76B15
• Project(s), collaboration(s): SIMPAF (CO-ADVISE)

Attached file list to this document: 

• hal-00694541, version 1
• http://hal.archives-ouvertes.fr/hal-00694541
• oai:hal.archives-ouvertes.fr:hal-00694541
• From: Jean-Paul Chehab <>
• Submitted on: Saturday, 5 May 2012 15:02:03
• Updated on: Wednesday, 9 May 2012 09:54:53