Laboratoire IMATH

Je suis professeur à l’Université de Toulon (UTLN) et je fais mes recherches à l’Institut Mathématiques de Toulon (IMATH) dans l’équipe de Modélisation Numérique (MN). Mes domaines de spécialisation et mes intérêts de recherche incluent la modélisation, l’analyse non linéaire des EDPs et l’analyse numérique en mécanique des fluides. Avant de rejoindre l’équipe MN, j’étais chercheur postdoctoral au Basque Center for Applied Mathematics (BCAM), Espagne, sous la direction d’Enrique Zuazua . J’ai obtenu mon doctorat en mathématiques appliquées au Laboratoire de Mathématiques (LAMA sous la direction de Christian Bourdarias & Stéphane Gerbi, Université de Savoie, Chambéry, France en 2010. Je dispense des cours de calcul scientifique et d’analyse numérique à l’École d’Ingénieurs de l’Université de Toulon (SEATECH).

Pour plus d’informations consulter ma page web.

Publications scientifiques :

From hydrostatic to non-hydrostatic models in fluid mechanics: modeling, mathematical and numerical analysis, and computational fluid dynamics

Mehmet Ersoy

Numerical Analysis [math.NA]. Université De Toulon, 2020

HDR

tel-03048696

Dimension reduction for compressible pipe flows including friction

Mehmet Ersoy

Asymptotic Analysis, 2016, 98 (3), pp.237-255. ⟨10.3233/ASY-161367⟩

Article dans une revue

hal-00908965

Runge-Kutta Discontinuous Galerkin Method Applied to Shallow Water Equations

Camille Poussel, Mehmet Ersoy, Frederic Golay, Yolhan Mannes

Topical Problems of Fluid Mechanics 2023, Institute of Thermomechanics of the Czech Academy of Sciences; CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics, pp.152-159, 2023, ⟨10.14311/TPFM.2023.021⟩

Proceedings/Recueil des communications

hal-04355984

Dimension reduction for incompressible pipe and open channel flow including friction

Mehmet Ersoy

Conference Applications of Mathematics 2015, in honor of the 90th birthday of Ivo Babuška and 85th birthday of Milan Práger and Emil Vitásek , J. Brandts and S. Korotov and M. Křížek and K. Segeth and J. Ŝístek and T. Vejchodský, Nov 2015, Institute of Mathematics CAS, Prague, France. pp.17-33

Communication dans un congrès

hal-00908961

Adaptive mesh refinement method. Part 2: Application to tsunamis propagation

Kévin Pons, Richard Marcer, Mehmet Ersoy, Frederic Golay, Richard Marcer Principia

2016

Pré-publication, Document de travail

hal-01330680

A Saint-Venant Model for Overland Flows with Precipitation and Recharge

Mehmet Ersoy, Omar Lakkis, Philip Townsend

Mathematical and computational applications, 2020, ⟨10.3390/mca26010001⟩

Article dans une revue

hal-01347163

Generalised Serre-Green-Naghdi equations for open channel and for natural river hydraulics

Mohamed Ali Debyaoui, Mehmet Ersoy

Asymptotic Analysis, In press, ⟨10.3233/ASY-201647⟩

Article dans une revue

hal-02444355

A Construction of Biorthogonal Wavelets With a Compact Operator

Mehmet Ersoy

[Research Report] Université de Savoie. 2009

Rapport

hal-00342457

Entropy production and mesh refinement – Application to wave breaking

Lyudmyla Yushchenko, Frederic Golay, Mehmet Ersoy

Mechanics & Industry, 2015, 16 (3), pp.5. ⟨10.1051/meca/2015003⟩

Article dans une revue

hal-01280350

Entropy production as a mesh refinement criterion: application to wave breaking

Frederic Golay, Mehmet Ersoy, Lyudmyla Yushchenko

Topical Problems of Fluid Mechanics, Feb 2013, Prague, Czech Republic

Communication dans un congrès

hal-01281006

Adaptive mesh refinement method. Part 1: Automatic thresholding based on a distribution function

Kévin Pons, Mehmet Ersoy

2019

Pré-publication, Document de travail

hal-01330679

Entropy production and mesh refinement – application to wave breaking

Lyudmyla Yushchenko, Frederic Golay, Mehmet Ersoy

21ème Congrès Français de Mécanique, Aug 2013, Bordeaux, France. ⟨10.1051/meca/2015003⟩

Communication dans un congrès

hal-01281002

WETTING AND DRYING TREATMENTS WITH MESH ADAPTATION FOR SHALLOW WATER EQUATIONS USING A RUNGE-KUTTA DISCONTINUOUS GALERKIN METHOD

Camille Poussel, Mehmet Ersoy, Frederic Golay

2024

Pré-publication, Document de travail

hal-04676186

ON THE DERIVATION OF A NEW ONE-DIMENSIONAL MODEL FOR BLOOD FLOWS AND ITS NUMERICAL APPROXIMATION

Yolhan Mannes, Mehmet Ersoy, Omer Eker

2024

Pré-publication, Document de travail

hal-04676130

Adaptive scheme based on entropy production: robustness through severe test cases for hyperbolic conservation laws

Mehmet Ersoy, Frederic Golay, Lyudmyla Yushchenko

[Research Report] Imath. 2013

Rapport

hal-00918773

A mathematical model for unsteady mixed flows in closed water pipes

Christian Bourdarias, Mehmet Ersoy, Stéphane Gerbi

Science China Mathematics, 2012, 55 (2), pp.221-244. ⟨10.1007/s11425-011-4353-z⟩

Article dans une revue

hal-00599656

Adaptive multi scale scheme based on numerical density of entropy production for conservation laws

Mehmet Ersoy, Frederic Golay, Lyudmyla Yushchenko

Central European Journal of Mathematics, 2013, 11 (8), pp.1392-1415. ⟨10.2478/s11533-013-0252-6⟩

Article dans une revue

hal-01338176

Consistency of the kinetic scheme with reflections

Mehmet Ersoy, Chiara Simeoni

[Research Report] IMATH. 2013

Rapport

hal-00918774

A kinetic scheme for pressurized flows in non uniform pipes

Christian Bourdarias, Mehmet Ersoy, Stéphane Gerbi

Monografias de la Real Academia de Ciencias de Zaragoza, 2009, 31, pp.1-20

Article dans une revue

hal-00343021

Existence of a global weak solution to one model of Compressible Primitive Equations

Mehmet Ersoy, Timack Ngom

Comptes Rendus. Mathématique, 2012, 350 (1), pp.379-382. ⟨10.1016/j.crma.2012.04.013⟩

Article dans une revue

hal-00487370

Sensitivity analysis of 1-d steady forced scalar conservation laws

Mehmet Ersoy, Eduard Feireisl, Enrique Zuazua

Journal of Differential Equations, 2013, 254 (9), pp.3817-3834. ⟨10.1016/j.jde.2013.01.041⟩

Article dans une revue

hal-01292865

A model for unsteady mixed flows in non uniform closed water pipes and a well-balanced finite volume scheme

Christian Bourdarias, Mehmet Ersoy, Stéphane Gerbi

International Journal on Finite Volumes, 2009, 6 (2), pp.1-47

Article dans une revue

hal-00342745

A kinetic scheme for transient mixed flows in non uniform closed pipes: a global manner to upwind all the source terms

Christian Bourdarias, Stéphane Gerbi, Mehmet Ersoy

Journal of Scientific Computing, 2011, 48 (1-3), pp. 89-104. ⟨10.1007/s10915-010-9456-0⟩

Article dans une revue

hal-00434321

Exploring the Fundamentals of Python Programming: A Comprehensive Guide for Beginners

Osama Burak Elhalid, Zaynelabdin Alm Alhelal, Samer Hassan

International Journal of Computer & Information Sciences / International Journal of Computer and Information Sciences, In press

Article dans une revue

hal-04262975

Numerical investigation of BB-AMR scheme using entropy production as refinement criterion

Thomas Altazin, Mehmet Ersoy, Frederic Golay, Damien Sous, Lyudmyla Yushchenko

International Journal of Computational Fluid Dynamics, 2016, ⟨10.1080/10618562.2016.1194977⟩

Article dans une revue

hal-01330654

Compressible primitive equation: formal derivation and stability of weak solutions

Mehmet Ersoy, Timack Ngom, Mamadou Sy

Nonlinearity, 2011, 24 (1), ⟨10.1088/0951-7715/24/1/004⟩

Article dans une revue

hal-00488398

Air entrainment in transient flows in closed water pipes: a two-layer approach.

Christian Bourdarias, Mehmet Ersoy, Stéphane Gerbi

ESAIM: Mathematical Modelling and Numerical Analysis, 2013, 47 (2), pp.507-538. ⟨10.1051/m2an/2012036⟩

Article dans une revue

hal-00421402

A NEW TWO-DIMENSIONAL BLOOD FLOW MODEL AND ITS RKDG APPROXIMATION

Mehmet Ersoy, Yolhan Mannes, Omer Eker

2024

Pré-publication, Document de travail

hal-04700161

Unsteady mixed flows in non uniform closed water pipes: a Full Kinetic Appraoch

Christian Bourdarias, Mehmet Ersoy, Stéphane Gerbi

Numerische Mathematik, 2014, 128 (2), pp.217-263. ⟨10.1007/s00211-014-0611-7⟩

Article dans une revue

hal-00606676

The role of practicum teachers in mathematics teacher identity development

Okan Arslan

Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), Alfréd Rényi Institute of Mathematics; Eötvös Loránd University of Budapest, Jul 2023, Budapest, Hungary

Communication dans un congrès

hal-04404300