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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, 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
  2. 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
  3. M. Ersoy, An extended Saint-Venant system for urban flows. Download PDF
    2015-12-16 University of L'Aquila, Italy
  4. M. Ersoy, An extended Saint-Venant system for urban flows. Download PDF
    2015-12-15 13-18 December, La Sapienza, Italy
  5. 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
  6. M. Ersoy, A pressurized model for compressible pipe flows: derivation including friction. Download PDF
    2014-11-27 IMATH, Toulon, 2014
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. M. Ersoy, Compressible primitive equations. Download PDF
    2014-04-16 8èmes journées scientifiques de l'Université de Toulon, France
  13. M. Ersoy, Air entrainment in transient flows in closed water pipes: A two-layer approach. Download PDF
    2013-06-18 Journées NTM, Porquerolles, France
  14. M. Ersoy, Shallow water equations: modeling, numerics and applications. Download PDF
    2013-(03-06)-06 University of Sussex, GB, 3 - 8 June 2013
  15. 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
  16. 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
  17. 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
  18. 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
  19. M. Ersoy, Existence and stability results for some compressible primitive equations. Download PDF
    2011-12-15 IMATH, Toulon, France
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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
  27. M. Ersoy, Existence and stability results for some compressible primitive equations Download PDF
    2011-02-03 LJK, Grenoble, France
  28. M. Ersoy, A short introduction to FreeFem++ Download PDF
    2010-11-12 BCAM-Basque Center for Applied Mathematics, Derio, Basque Country, Spain
  29. M. Ersoy, Numerical dispersion and Linearized Saint-Venant Equations Download PDF
    2010-11-11 BCAM-Basque Center for Applied Mathematics, Derio, Basque Country, Spain
  30. 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
  31. M. Ersoy, Modélisation, analyse mathématique et numérique de divers écoulements compressibles ou incompressibles en couche mince. Download PDF
    2010-09-10 LAMA--Savoie, France
  32. 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.
  33. 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
  34. 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.
  35. 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
  36. 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
  37. 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
  38. 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

(Hover over the picture to get a description and click to see the numerical simulation)



Continue

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.

Enoncés de TD/TP

•TP1 AN SEATECHZIP.

•TP2 AN SEATECHZIP.

•TP3 AN SEATECHZIP.

•TP4 AN SEATECHZIP.

•TP5 AN SEATECHZIP.

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

Afin d'améliorer mes enseignements, je vous invite à remplir ce questionnaire.

A question ? A remark ?

2015-2016 (Ecole d'Ingénieurs de l'Université de Toulon - SEATECH)

1ème année (CM/TD/TP avec S. Maire) Analyse numérique
1ème année Apprentissage(CM/TD) Equations différentielles
M1 MATH(CM/TD/TP) Optimisation numérique
2ème année MOCA(CM/TD/TP) Méthodes numériques
2ème année MOCA(CM/TD/TP) Elements finis & applications (Freefem++)
3ème année Marine & M2 MATH(CM/TD/TP) Problèmes hyperboliques, Volumes Finis
3ème année Matériaux Apprentissage(CM/TD/TP) Systèmes d'équations différentielles

2014-2015 (Ecole d'Ingénieurs de l'Université de Toulon - SEATECH)

1ème année SeaTech(CM/TD/TP avec S. Maire) Analyse numérique
1ème année Matériaux Apprentissage(CM/TD) Equations différentielles
2ème année Marine & M1 MATH(CM/TD/TP) Optimisation numérique
2ème année Matériaux(CM/TD/TP) Elements finis
3ème année Marine & M2 MATH(CM/TD/TP) Problèmes hyperboliques, Volumes Finis
3ème année Matériaux Apprentissage(CM/TD/TP) Systèmes d'équations différentielles

2013-2014 (Ecole d'Ingénieurs de l'Université de Toulon - SEATECH, anciennement ISITV)

1ème année ISITV(CM/TD/TP avec S. Maire) Analyse numérique
1ème année Marine(CM/TD/TP) Différences finies et Fortran
1ème année Matériaux Apprentissage(CM/TD) Equations différentielles
1ème année Matériaux(CM/TD) Outils mathématiques pour la méthode des éléments finis
2ème année Marine & M1 MATH(CM/TD/TP) Optimisation numérique
2ème année Matériaux(CM/TD/TP) Elements finis
3ème année Marine & M2 MATH(CM/TD/TP) Problèmes hyperboliques, Volumes Finis
3ème année Matériaux Apprentissage(CM/TD/TP) Systèmes d'équations différentielles

2012-2013 (Institut des Sciences de l'Ingénieur de Toulon et du Var - ISITV)

1ème année ISITV(CM/TD/TP avec S. Maire) Analyse numérique
1ème année Marine(CM/TD/TP) Différences finies et Fortran
1ème année Matériaux(CM/TD) Outils mathématiques pour la méthode des éléments finis
2ème année Marine & M1 MATH(CM/TD/TP) Optimisation numérique
2ème année Matériaux(CM/TD/TP) Elements finis
3ème année Marine & M2 MATH(CM/TD/TP) Problèmes hyperboliques, Volumes Finis
3ème année Matériaux Apprentissage(CM/TD/TP) Systèmes d'équations différentielles

2011-2012 (Institut des Sciences de l'Ingénieur de Toulon et du Var - ISITV)

1ème année ISITV(CM/TD/TP avec S. Maire) Analyse numérique
1ème année Marine(CM/TD/TP) Différences finies et Fortran
2ème année Marine & M1 MATH(CM/TD/TP) Optimisation numérique
2ème année Matériaux(CM/TD/TP) Elements finis

2007-2010 (UFR SFA, Université de Savoie)

Licence 1 (TD) Statistiques
Licence 1 (TD) Mathématiques Générales
Licence 2 (TD/TP) Calcul Scientifique
Licence 2 (TD) Courbes, Surfaces, Intégrales Multiples
Licence 3 (TP) Analyse Numérique
Licence 3 (TP) Méthodes Numériques
M1 MATH (TP) Systèmes Dynamiques et Contrôle
M1 MATH (TP) Optimisation et Systèmes Différentiels


Contact


SeaTech - Ecole d'Ingénieurs de l'Université de Toulon UTLN
IMATH - Institut de Mathématiques de Toulon
avenue de l'université BP 20132,
Building M113,
83957 La Garde Cedex

+33 494 142 175

+33 494 142 448

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