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You can find my curriculum Vitae
here the english version and here the french one.

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About Me


I am currently associate professor at the Université de Toulon (UTLN) and do my research at the Institut Mathématiques de Toulon (IMATH) -Équipe de Modélisation Numérique (MN) . My fields of specialization and research interests include Non linear analysis of PDEs, Numerical analysis in fluid mechanics. Before joining the team MN, I was a postdoctoral researcher at the Basque Center for Applied Mathematics, Derio, Spain, directed by/in collaboration with Enrique Zuazua. I obtained my Ph.D in Applied Mathematics at the Laboratoire de Mathématiques-LAMA under the supervision of Christian Bourdarias & Stéphane Gerbi, Université de Savoie, Chambéry, France in 2010.
I deliver Scientific Computing and Numerical Analysis courses at the Ecole d'Ingénieurs de l'Université de Toulon which offers the possibility to get high level skills.

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Research


My fields of specialization and research interests include non linear analysis of Partial Differential Equations, Numerical Analysis and Computer Simulation. More precisely, I'm interested in the model reduction, the analysis, the construction of Finite Volume methods and the (multi-dimensional) numerical simulation of hyperbolic problems arising in fluid mechanics, especially for shallow water flows. A typical example is the well-known Saint-Venant equations which has a wide range of applications in real life problems.
• You can find the list of my publications herein or on Arxiv, Mathscinet or Zentralblatt.
• You can also find my Math Genealogy Un smiley and the PDF file.

Modeling

Compressible and incompressible flows for shallow water flows, etc

Analysis

Well-posedness, asymptotic behavior, model reduction, etc

Numerical analysis

Finite volume scheme, high order scheme, well-balanced scheme, etc

Numerical simulation (CFD)

AMR, Mesh refinement criterion, Mesh refinement threshold, parallelization, etc

Recent results Dissemination activities

Dissemination activities


Related publications

  1. M. Ersoy, Generalised Serre-Green-Naghdi equations for open channel and for natural river hydraulics. Download PDF
    2020-10-20 CMI, Marseille, France
  2. M. Ersoy, A new dispersive model for open channel and river flows Download PDF
    2019-06-21 Numerical methods for hyperbolic problems 2019, Malaga, Spain, 16-22 June 2019
  3. M. Ersoy, (poster) A new dispersive model for open channel and river flows Download PDF
    2019-05-13 International Workshop on Nonlocal Models, PDEs and Applications, Caen, France, May 13-14, 2019
  4. M. Ersoy, A kinetic scheme for air entrainment in transient flows: a two-layer approach. Download PDF
    2017-02-17 Dynamics and modeling of complex networks, 11èmes Journées Scientifiques de l’Université de Toulon, 25-26 April 2017, Toulon, France
  5. M. Ersoy, Adaptive mesh refinement method : numerical density of entropy production and automatic thresholding. Download PDF
    2017-02-17 University of Savoie Mont-Blanc, Chambéry, France
  6. M. Ersoy, An extended Saint-Venant system for urban flows. Download PDF
    2015-12-16 University of L'Aquila, Italy
  7. M. Ersoy, An extended Saint-Venant system for urban flows. Download PDF
    2015-12-15 13-18 December, La Sapienza, Italy
  8. M. Ersoy, Block-Based Adaptive Mesh Refinement scheme based on numerical density of entropy production for conservation laws and applications. Download PDF
    2015-06-11 International meeting AMS/EMS/SPM, Partial Differential Equations: Ambitious Mathematics for Real-life Applications, 10-13 June, Porto, Portugal
  9. M. Ersoy, A pressurized model for compressible pipe flows: derivation including friction. Download PDF
    2014-11-27 IMATH, Toulon, 2014
  10. M. Ersoy, On the numerical entropy production as a useful mesh refinement parameter: application to wave-breaking. Download PDF
    2014-10-02 IRMAR, Rennes, France
  11. M. Ersoy, On the numerical entropy production as a useful mesh refinement parameter: application to wave-breaking. Download PDF
    2014-09-16 CMI, Marseille, France
  12. M. Ersoy, On the numerical entropy production as a useful mesh refinement parameter: application to wave-breaking. Download PDF
    2014-07-(22-26) University of Sussex, GB, 22 - 26 July 2014
  13. M. Ersoy, On the numerical entropy production as a useful mesh refinement parameter: application to wave-breaking. Download PDF
    2014-07-17 The Third BCAM Workshop on Computational Mathematics, BCAM (Bilbao), July 17-18, 2014
  14. M. Ersoy, A pressurized model for compressible pipe flows: derivation including friction. Download PDF
    2014-05-12 Workshop MTM, BCAM (Bilbao), June 12-13, 2014
  15. M. Ersoy, Compressible primitive equations. Download PDF
    2014-04-16 8èmes journées scientifiques de l'Université de Toulon, France
  16. M. Ersoy, Air entrainment in transient flows in closed water pipes: A two-layer approach. Download PDF
    2013-06-18 Journées NTM, Porquerolles, France
  17. M. Ersoy, Shallow water equations: modeling, numerics and applications. Download PDF
    2013-(03-06)-06 University of Sussex, GB, 3 - 8 June 2013
  18. M. Ersoy, Adaptive multi scale scheme based on numerical density of entropy production for conservation laws. Download PDF
    2013-06-06 University of Sussex, GB, 3 - 8 June 2013
  19. M. Ersoy, Adaptive multi scale scheme based on numerical density of entropy production for conservation laws. Download PDF
    2013-06-31 5th Women in Mathematics Summer School on Mathematical Theories towards Environmental Models, ICTP, Trieste, Italy, 27 May - 1 June 2013
  20. M. Ersoy, Adaptive multi scale scheme based on numerical density of entropy production for conservation laws. Download PDF
    2013-02-18 Workshop MTM2011-29306, BCAM (Bilbao), February 18-19, 2013
  21. M. Ersoy, Adaptive multi scale scheme based on numerical density of entropy production for conservation laws. Download PDF
    2012-06-12 Journées NTM, Porquerolles, France
  22. M. Ersoy, Existence and stability results for some compressible primitive equations. Download PDF
    2011-12-15 IMATH, Toulon, France
  23. M. Ersoy, A Finite Volume Kinetic (FVK) framework for unsteady mixed flows in non uniform closed water pipes. Download PDF
    2011-11-24 IMATH, Toulon, France
  24. M. Ersoy, (poster) NUMERIWAVES Project ERC FP7 - 246775 New analytical and numerical methods in wave propagation Download PDF
    2011-07-05 OPTPDE - Summer School - Challenges in Applied Control and Optimal Design, July 4-8, 2011
  25. M. Ersoy, A Well Balanced Finite Volume Kinetic (FVK) scheme for unsteady mixed flows in non uniform closed water pipes. Download PDF
    2011-03-31 LM UBP, Clermont-Ferrand, France
  26. M. Ersoy, A Well Balanced Finite Volume Kinetic (FVK) scheme for unsteady mixed flows in non uniform closed water pipes. Download PDF
    2011-03-24 LM Jean Leray, Nantes, France
  27. M. Ersoy, A Finite Volume Kinetic (FVK) framework for unsteady mixed flows in non uniform closed water pipes. Download PDF
    2011-03-10 Workshop Euskadi - Kyushu 2011, BCAM-Basque Center for Applied Mathematics, Derio, Basque Country, Spain
  28. M. Ersoy, A model for unsteady mixed flows in non uniform closed water pipes and a well-balanced finite volume scheme
    2011-02-24 IMATH, Toulon, France
  29. M. Ersoy, A model for unsteady mixed flows in non uniform closed water pipes and a well-balanced finite volume scheme Download PDF
    2011-02-10 LMB, Besançon, France
  30. M. Ersoy, Existence and stability results for some compressible primitive equations Download PDF
    2011-02-03 LJK, Grenoble, France
  31. M. Ersoy, A short introduction to FreeFem++ Download PDF
    2010-11-12 BCAM-Basque Center for Applied Mathematics, Derio, Basque Country, Spain
  32. M. Ersoy, Numerical dispersion and Linearized Saint-Venant Equations Download PDF
    2010-11-11 BCAM-Basque Center for Applied Mathematics, Derio, Basque Country, Spain
  33. M. Ersoy, Modeling, mathematical and numerical analysis of some compressible or incompressible flows in thin layer Download PDF
    2010-10-15 BCAM-Basque Center for Applied Mathematics, Derio, Basque Country, Spain
  34. M. Ersoy, Modélisation, analyse mathématique et numérique de divers écoulements compressibles ou incompressibles en couche mince. Download PDF
    2010-09-10 LAMA--Savoie, France
  35. M. Ersoy, Formal derivation of Saint-Venant-Exner-like model: Vertically averaged Vlasov-Navier-Stokes equations Download PDF
    2010-03-17 J. DYNAMO Rennes-France, 17-19 March, 2010.
  36. M. Ersoy, Unsteady mixed flows in closed water pipes. A well-balanced finite volume scheme Download PDF
    2010-02-02 2nd Workshop Mathematics and Oceanography Montpellier-France, 1--3 february 2010
  37. C. Bourdarias, M. Ersoy & S. Gerbi Mixed flows in closed water pipes: A kinetic approach Download PDF
    2010-01-02 French-Chinese Summer Research Institute Project “Stress tensor effects on compressible flows”, Morningside Center of Mathematics of the Chinese Academy of Sciences Beijing, 2-23 janvier 2010.
  38. M. Ersoy, A kinetic scheme for transient mixed flows in non uniform closed pipes: a global manner to upwind all the source terms Download PDF
    2009-09-07 Numerical approximations of hyperbolic systems with source terms and applications September 7 - 11, 2009 Centro Internacional de Encuentros Matemáticos Castro-Urdiales, Cantabria, Spain
  39. M. Ersoy, A kinetic scheme for transient mixed flows in non uniform closed pipes: a global manner to upwind all the source terms
    2009-07-03 LAMA--Savoie, France
  40. C. Bourdarias, M. Ersoy & S. Gerbi Air entrainment in transient flows in closed water pipes A two-layer approach. Download PDF
    2009-06-22 Modelling 2009 June 22 - 26, 2009 Roznov pod Radhostem Czech Republic
  41. M. Ersoy, A kinetic scheme for pressurized flows in non uniform pipes Download PDF
    2008-05-18 WORKSHOP "Maths & Water" Zaragoza, Spain, May 19-21, 2008



Simulations

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Teaching


Quelques docs et tuto

•Matlab/OctavePDF.

•Template latexZIP.

•Exemple documents latex contenant : page de garde, figures, biblio (bibtex)ZIP.

•Exemple de présentation beamer (latex) + quelques formules ZIP.

•Script Matlab pour generer des noms de variable dans une boucle for M-FILE.

•Script bash pour convertir par lot des images EPS au format PNG SH.

•Tuto installation CYGWIN (WINDOBS) PDF.

Enoncés de TD/TP

Notes de cours

•Slides Fortran 77 PDF.

•Slides Freefem++ PDF.

•Notes Optimisation PDF.

•Notes Eq. différentielles PDF.

•Formules de Taylor (Notes)PDF.

•Calcul Matriciel Numérique (Slides ch. 1) PDF.

•Calcul Matriciel Numérique (Slides ch. 4) PDF

Questionnaire en ligne

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Contact


SeaTech - Ecole d'Ingénieurs de l'Université de Toulon UTLN
IMATH - Institut de Mathématiques de Toulon
avenue de l'université BP 20132,
Building M129,
83957 La Garde Cedex

+33 483 166 665

+33 672 533 633

+33 494 142 448

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