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A Numerical Approach to Marine Circulation Using Free Surface or Rigid-lid Modeling: Application in the Bay of Calvi

 Bernard Di Martino , B Di Martino , C. Giacomoni , P. Orenga
International Journal of Computational Fluid Dynamics, 2002, International Journal of Computational Fluid Dynamics, 16 (1), pp.37 - 48. ⟨10.1080/10618560290004017⟩
Article dans une revue hal-01630416v1

Simulation of an oil slick movement using a shallow water model

 Bernard Di Martino , Mathieu Peybernes
Mathematics and Computers in Simulation, 2007, 76, pp.155-160
Article dans une revue hal-00288678v1

A numerical method for a blood-artery interaction problem

 Fabien Flori , Bernard Giudicelli , Bernard Di Martino
Mathematical and Computer Modelling, 2009, 49 (11-12), pp.2145-2151
Article dans une revue hal-00605073v1
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Existence of weaks solutions for compressible Navier-Stokes equations in a moving domain

 Bernard Di Martino
Stress Tensor Effects on Fluid Mechanics, Jan 2010, Pekin, China
Communication dans un congrès hal-00603341v1

ANALYSIS OF SOME SHALLOW WATER PROBLEMS WITH RIGID-LID HYPOTHESIS

 Bernard Di Martino , C. Giacomoni , P. Orenga
Mathematical Models and Methods in Applied Sciences, 2001, 11 (06), pp.979 - 999. ⟨10.1142/S0218202501001203⟩
Article dans une revue hal-01630405v1
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Some quasi-analytical solutions for propagative waves in free surface Euler equations

 Marie-Odile Bristeau , Bernard Di Martino , Anne Mangeney , Jacques Sainte-Marie , Fabien Souillé
Comptes Rendus. Mathématique, 2020, Comptes rendus mathématique, 358 (11-12), pp.1111-1118. ⟨10.5802/crmath.63⟩
Article dans une revue hal-02454029v2

Resolution by Galerkin method with a special basis of a geophysical flow in open sea: a Calvi's bay simulation

 F. Bosseur , Bernard Di Martino , P. Orenga
Applied Mathematical Modelling, 2000, 24 (2), pp.73 - 94. ⟨10.1016/S0307-904X(99)00027-X⟩
Article dans une revue hal-01630395v1

Simulation of a spilled oil slick with a bi-layer shallow water model with free boundary

 Bernard Di Martino , Pierre Orenga , Mathieu Peybernes
Mathematical Models and Methods in Applied Sciences, 2007, 17 (3), pp.393-410
Article dans une revue hal-00162272v1
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Résolution des équations de shallow water par la méthode de Galerkin non linéaire

 Bernard Di Martino , Pierre Orenga
ESAIM: Mathematical Modelling and Numerical Analysis, 1998, RAIRO—Modélisation mathématique et analyse numérique, 32 (4), pp.451-477
Article dans une revue hal-01593551v1
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THE NONLINEAR GALERKIN METHOD APPLIED TO SHALLOW WATER EQUATIONS

 Bernard Di Martino , F. J. Chatelon , P. Orenga
Mathematical Models and Methods in Applied Sciences, 1999, Mathematical Models and Methods in Applied Sciences, 09 (06), pp.825 - 854. ⟨10.1142/S0218202599000397⟩
Article dans une revue hal-01630390v1

Trends in the application of mathematics to medicine

 Didier Bresch , Fabien Flori , Bernard Di Martino
Elsevier Ltd. - Mathematical and Computer Modelling, Volume 49, Special Issue of Mathematical and Computer Modelling - 255 p. -Elsevier, 2009
Ouvrages hal-00382592v1
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SENSOR AUGMENTED WEATHER PREDICTION AT HIGH RESOLUTION" [ANR-21-CE04-0014-03]" PROJECT DMP

 Christophe Paoli , Jean-François Muzy , Frédéric Bosseur , Jean Baptiste Filippi , Marie Laure Nivet , et al.
2022
Autre publication scientifique hal-03737267v1
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Some analytical solutions for validation of free surface flow computational codes

 Marie-Odile Bristeau , Bernard Di Martino , Anne Mangeney , Jacques Sainte-Marie , Fabien Souillé
Journal of Fluid Mechanics, 2021, Journal of Fluid Mechanics, 913 (A17), ⟨10.1017/jfm.2020.1179⟩
Article dans une revue hal-01831622v3

Hyperbolicity of a semi-Lagrangian formulation of the hydrostatic free-surface Euler system

 Bernard Di Martino , Chourouk El Hassanieh , Edwige Godlewski , Julien Guillod , Jacques Sainte-Marie
2023
Pré-publication, Document de travail hal-04190892v1
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A one-year (2005) comparison of seawater temperature series between in situ and modelling data: Application to the Strait of Bonifacio (South Corsica)

 Olivia Gerigny , Bernard Di Martino , Jean-Claude Romano , Caroline Ulses
Comptes Rendus Géoscience, 2011, 343 (4), pp.278-283. ⟨10.1016/j.crte.2011.01.002⟩
Article dans une revue hal-00588904v1
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Contribution à l'étude mathématique et à la simulation numérique des écoulements des fluides géophysiques

 Bernard Di Martino
Mathématiques [math]. Université Pascal Paoli, 2004
HDR tel-00007931v1
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Simulation of a viscous fluid spreading by a bidimensional shallow water model

 Bernard Di Martino , Catherine Giacomoni , Jean-Martin Paoli , Pierre Simonnet
Applied Mathematical Modelling, 2011, 35, pp.3387-3395. ⟨10.1016/j.apm.2011.01.015⟩
Article dans une revue hal-00591001v1
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Global stability of weak solutions for a multilayer Saint-Venant model with interactions between the layers

 Bernard Di Martino , Boris Haspot , Yohan Penel
Nonlinear Analysis: Hybrid Systems, 2017, 163, pp.177 - 200. ⟨10.1016/j.na.2017.07.010⟩
Article dans une revue hal-01407886v2

The Generalized Nonlinear Galerkin Method Applied to Hydrodynamics of the Open Sea

 Bernard Di Martino , P. Orenga
International Journal of Computational Fluid Dynamics, 2001, 14 (4), pp.305 - 325. ⟨10.1080/10618560108940731⟩
Article dans une revue hal-01630404v1
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Layer-averaged Euler and Navier-Stokes equations

 Marie-Odile Bristeau , Cindy Guichard , Bernard Di Martino , Jacques Sainte-Marie
Communications in Mathematical Sciences, 2017, ⟨10.4310/CMS.2017.v15.n5.a3⟩
Article dans une revue hal-01202042v3

Resolution to a three-dimensional physical oceanographic problem using the non-linear Galerkin method

 Bernard Di Martino , Pierre Orenga
International Journal for Numerical Methods in Fluids, 1999, 30 (5), pp.577 - 606. ⟨10.1002/(SICI)1097-0363(19990715)30:5<577::AID-FLD858>3.0.CO;2-T⟩
Article dans une revue istex hal-01630394v1

Mathematical and Numerical Analysis of a Tsunami Problem

 Bernard Di Martino , F. Flori , C. Giacomoni , P. Orenga
Mathematical Models and Methods in Applied Sciences, 2003, 13 (10), pp.1489 - 1514. ⟨10.1142/S0218202503003008⟩
Article dans une revue hal-01630428v1
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Analyse d'un problème de tsunami

 Bernard Di Martino , Fabien Flori , Catherine Giacomoni , Pierre Orenga
Comptes Rendus. Mathématique, 2002, 334 (7), pp.551 - 556. ⟨10.1016/S1631-073X(02)02305-1⟩
Article dans une revue hal-01630423v1

Editorial of "Trends in the application of mathematics to medicine

 Didier Bresch , Fabien Flori , Bernard Di Martino
Mathematical and Computer Modelling, 2009, 49 (11-12), pp.2081-2082
Article dans une revue hal-00382591v1

The current dynamics inside the Strait of Bonifacio: Impact of the wind effect in a little coastal strait

 Olivia Gerigny , Bernard Di Martino , Jean-Claude Romano
Continental Shelf Research, 2011, 31 (1), pp.1--8. ⟨10.1016/j.csr.2010.11.005⟩
Article dans une revue istex hal-00591002v1
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