Recent research topics

Control of partial differential equations.
Equations of damped nonlinear waves. Dynamic boundary conditions.
Mixed unsteady water flows (pressurised and free surface) in closed pipes: modeling, finite volume methods and kinetic approach.
Mixed unsteady water flows in closed pipes: taking into account the trapped air layer. Modeling and numerical approximation
Modeling, mathematical analysis and numerical study of models in oceanography.

Old research topics

Mathematical modeling and numerical simulation of active behavior in large deformation of the living tissue: muscle, heart and arteries.
Mathematical study of a detonation in pipe.
Domain decomposition methods, finite volumes and parallel calculation.
Study of parabolized Navier-Stokes equations.
Multigrid methods and parallel computing.

Publications

35 articles published or to be published in international peer-reviewed journals.
15 original articles published or to be published in international peer-reviewed proceedings.
2024 : Co-editor (with Anna Doubova, Université de Séville, Kaïs Ammari, Université de Monastir, Tunisie and Manuel Gonzalez-Burgos, Université de Séville) in the serie Trends in Mathematics, Birkhäuser Cham, August 2024, Contributions from the congress “CRF 2023: Control and Related Fields”, Institute of Mathematics of the University of Seville (IMUS), March 27-29, 2023.
2020 : Co-editor (with Kaïs Ammari, Université de Monastir, Tunisie) in the serie Contemporary Mathematics, Volume 757, American Mathematical Society, Novembre 2020, courses and contributions from the summer school “Identification and Control: some challenges”, Monastir, June 18-20, 2019.
2018 : Co-editor (with Kaïs Ammari, Université de Monastir, Tunisie) in the serie AIMS Series on Differential Equations & Dynamical Systems, Volume 6, American Institute of Mathematical Sciences, 2018, courses and contributions from the summer school ContrOpt 2017 : “Control and Optimization”, May 15-19, 2017.
2017 : Co-editor (with Kaïs Ammari, Université de Monastir, Tunisie) in the serie London Mathematical Society Lecture Note Series, Volume 439, 2017, courses and contributions from the summer school MIS 2015 : “Evolution Equations : long time behavior and control”, June 15-18, 2015.
2013 : Co-editor of a special issue of ESAIM Proceedings (with Christian Bourdarias). Proceedings of the conference “Applied Mathematics In Savoie - AMIS 2012” , June 19-22 2012, ESAIM Proceedings, Volume 40, July 2013, 143 pages.

PhD and HDR supervisions

2025	Co-supervision with Ali Wehbe (Pr., Lebanese University at Beyrouth, Lebanon) of the PhD of Mrs. Zahraa Abdallah in joint doctoral degree program with Lebanese University at Beyrouth Theoretical and numerical study of the stabilization of certain interface transmission problems with dynamic boundary controls, defended on 16th May 2026 at University Savoie Mont Blanc.
2024	Co-supervision (30%) with Denys Dutykh (Associate Professor, Khalifa University, Abou Dabi) of the PhD of Mrs. Rim El Cheick, On mathematical and numerical problems in fluid dynamics: asymptotic models for pulsatile flows in deformable cylindrical vessels., defended on 20th december 2024 University Savoie Mont Blanc. Mrs. Rim El Cheikh is a developer at Sopra Steria in Sophia Antipolis.
2019	Co-supervision with Kaïs Ammari (Pr., Monastir University, Tunisia) and Ali Wehbe (Pr., Lebanese University at Beyrouth, Lebanon) of the PhD of Mrs Chiraz Kassem, in joint doctoral degree program with Lebanese University at Beyrouth. Stability and controllability of some locally coupled systems, defended on 26th July 2019 at University Savoie Mont Blanc. Mrs. Chiraz Kassem is assistant professor at the Lebanese University of Beirut, researcher in the mathematics laboratory from the Lebanese University of Beirut, Rafic Hariri Campus.
2017	Co-supervision with Christian Bourdarias (Pr., University Savoie Mont Blanc) of the PhD of Mr. Charles Demay, CIFRE contract with EDF (EDF's supervisors: Jean-Marc Hérard and Benoît de Laage de Meux). Modeling and simulation of transient two-phase water-air flows in hydraulic circuits, defended on 15th November 2017 at EDF-Lab, Paris Saclay. Charles Demay won the thesis prize “Prix Paul Caseau” awarded by the French Academy of Technologies, during a ceremony which took place on November 21, 2018 at the Fondation del Duca, Paris. Mr. Charles Demay is a junior researcher in data sciences, “Data scientist” at Enedis.
2016	Co-supervision with Christian Bourdarias (Pr., University Savoie Mont Blanc) of the PhD of Mr. Ralph Lteif, in joint doctoral degree program with Lebanese University at Beyrouth(Lebanese supervisors : Sameur Israwi and Raafat Talhouk). Modeling, mathematical analysis and numerical study of models in oceanography, defended on 14th October 2016 at University Savoie Mont Blanc. Mr. Ralph Lteif is assistant professor at the Lebanese American University.
2010	Co-supervision with Christian Bourdarias (Pr., University Savoie Mont Blanc) of the PhD of Mr. Mehmet Ersoy: Modeling, mathematical and numerical analysis of various compressible or incompressible flows in thin layers, defended on 10th September 2010 at Université de Savoie. Mr. Mehmet Ersoy is professor at the Mathematical Institute of Toulon.
2009	Supervisor of the “Habilitation to conduct researches” of Mr. Belkacem Said-Houari : Study of some nonlinear evolution problems of type hyperbolic: existence, uniqueness and asymptotic behavior, defended on 10th December 2009 at Université of Savoie. Mr. Belkacem Said-Houari is professor at Sharjah University, Sharjah, Emirats Arabes Unis.
1998	Co-supervision with Raphaèle Herbin (Pr., University of Marseille) of the PhD of Mr. Bubakr Zeraïdi : Domain decomposition methods, discretisation by finite volumes and implementation on parallel computers, defended on 14th October 1998 at University of Marseille. Mr. Bubakr Zeraïdi is a high school mathematics teacher.

Software

Software development with Christian Bourdarias of the industrial software FlowMix : actual version 3.0, 19th November 2019.
FlowMixis an industrial code (in Fortran) for the simulation of mixed flows in closed pipes by a finite volume discretization VFROE or a kinetic scheme. This code is developed under contract with EDF-CIH, Le Bourget du Lac.
Coupling between the Saint-Venant equations (1D) in closed ducts (for the free surface part) and a PDE system (1D) close to the Saint-Venant equations (for the pressurized part): taking into account a continuous flow with a discontinuous gradient.
Software development with Christian Bourdarias of the research software samuel : actual versio,n 1.0.
samuel is a research computation code (in Fortran) for the large deformation simulation of a living, hyperelastic material active, incompressible, transversely isotropic.
3D finite element formulation and resolution of non-linear systems.