ERSOY Mehmet
Statut: Professeur des universités
Equipe de recherche: Equipe MN
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
Numerical Analysis [math.NA]. Université De Toulon, 2020
HDR
Dimension reduction for compressible pipe flows including friction
Asymptotic Analysis, 2016, 98 (3), pp.237-255. ⟨10.3233/ASY-161367⟩
Article dans une revue
Runge-Kutta Discontinuous Galerkin Method Applied to Shallow Water Equations
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
A Saint-Venant Model for Overland Flows with Precipitation and Recharge
Mathematical and computational applications, 2020, ⟨10.3390/mca26010001⟩
Article dans une revue
Dimension reduction for incompressible pipe and open channel flow including friction
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
Adaptive mesh refinement method. Part 2: Application to tsunamis propagation
2016
Pré-publication, Document de travail
Generalised Serre-Green-Naghdi equations for open channel and for natural river hydraulics
Asymptotic Analysis, In press, ⟨10.3233/ASY-201647⟩
Article dans une revue
A Construction of Biorthogonal Wavelets With a Compact Operator
[Research Report] Université de Savoie. 2009
Rapport
Entropy production as a mesh refinement criterion: application to wave breaking
Topical Problems of Fluid Mechanics, Feb 2013, Prague, Czech Republic
Communication dans un congrès
Entropy production and mesh refinement – Application to wave breaking
Mechanics & Industry, 2015, 16 (3), pp.5. ⟨10.1051/meca/2015003⟩
Article dans une revue
ON THE DERIVATION OF A NEW ONE-DIMENSIONAL MODEL FOR BLOOD FLOWS AND ITS NUMERICAL APPROXIMATION
2024
Pré-publication, Document de travail
Adaptive mesh refinement method. Part 1: Automatic thresholding based on a distribution function
2019
Pré-publication, Document de travail
Entropy production and mesh refinement – application to wave breaking
21ème Congrès Français de Mécanique, Aug 2013, Bordeaux, France. ⟨10.1051/meca/2015003⟩
Communication dans un congrès
WETTING AND DRYING TREATMENTS WITH MESH ADAPTATION FOR SHALLOW WATER EQUATIONS USING A RUNGE-KUTTA DISCONTINUOUS GALERKIN METHOD
2024
Pré-publication, Document de travail
A kinetic scheme for pressurized flows in non uniform pipes
Monografias de la Real Academia de Ciencias de Zaragoza, 2009, 31, pp.1-20
Article dans une revue
A mathematical model for unsteady mixed flows in closed water pipes
Science China Mathematics, 2012, 55 (2), pp.221-244. ⟨10.1007/s11425-011-4353-z⟩
Article dans une revue
Adaptive scheme based on entropy production: robustness through severe test cases for hyperbolic conservation laws
[Research Report] Imath. 2013
Rapport
Adaptive multi scale scheme based on numerical density of entropy production for conservation laws
Central European Journal of Mathematics, 2013, 11 (8), pp.1392-1415. ⟨10.2478/s11533-013-0252-6⟩
Article dans une revue
Existence of a global weak solution to one model of Compressible Primitive Equations
Comptes Rendus. Mathématique, 2012, 350 (1), pp.379-382. ⟨10.1016/j.crma.2012.04.013⟩
Article dans une revue
A model for unsteady mixed flows in non uniform closed water pipes and a well-balanced finite volume scheme
International Journal on Finite Volumes, 2009, 6 (2), pp.1-47
Article dans une revue
Sensitivity analysis of 1-d steady forced scalar conservation laws
Journal of Differential Equations, 2013, 254 (9), pp.3817-3834. ⟨10.1016/j.jde.2013.01.041⟩
Article dans une revue
A kinetic scheme for transient mixed flows in non uniform closed pipes: a global manner to upwind all the source terms
Journal of Scientific Computing, 2011, 48 (1-3), pp. 89-104. ⟨10.1007/s10915-010-9456-0⟩
Article dans une revue
Numerical investigation of BB-AMR scheme using entropy production as refinement criterion
International Journal of Computational Fluid Dynamics, 2016, ⟨10.1080/10618562.2016.1194977⟩
Article dans une revue
Compressible primitive equation: formal derivation and stability of weak solutions
Nonlinearity, 2011, 24 (1), ⟨10.1088/0951-7715/24/1/004⟩
Article dans une revue
Air entrainment in transient flows in closed water pipes: a two-layer approach.
ESAIM: Mathematical Modelling and Numerical Analysis, 2013, 47 (2), pp.507-538. ⟨10.1051/m2an/2012036⟩
Article dans une revue
A NEW TWO-DIMENSIONAL BLOOD FLOW MODEL AND ITS RKDG APPROXIMATION
2024
Pré-publication, Document de travail
Exploring the Fundamentals of Python Programming: A Comprehensive Guide for Beginners
International Journal of Computer & Information Sciences / International Journal of Computer and Information Sciences, In press
Article dans une revue
A Generalised Serre-Green-Naghdi equations for variable rectangular open channel hydraulics and its finite volume approximation
Muñoz-Ruiz M.L., Parés C., Russo G. (eds) Recent Advances in Numerical Methods for Hyperbolic PDE Systems. SEMA SIMAI Springer Series, vol 28. Springer, 2021, 978-3-030-72850-2. ⟨10.1007/978-3-030-72850-2_11⟩
Chapitre d'ouvrage
Unsteady mixed flows in non uniform closed water pipes: a Full Kinetic Appraoch
Numerische Mathematik, 2014, 128 (2), pp.217-263. ⟨10.1007/s00211-014-0611-7⟩
Article dans une revue
