Publications

Articles in peer-reviewed journals Link to heading

1. A first-order hyperbolic reformulation of the Cahn-Hilliard equation (2024)

   Dhaouadi, F., Dumbser, M. and Gavrilyuk, S.

   arXiv:2408.03862.

   In review    preprint   
2. An exactly curl-free finite-volume scheme for a hyperbolic compressible barotropic two-phase model (2024)

   Río-Martín, L., Dhaouadi, F. and Dumbser, M.

   Journal of Scientific Computing 102 (1), 13

   preprint    journal    Accepted Copy   
3. An Eulerian hyperbolic model for heat transfer derived via Hamilton’s principle: analytical and numerical study (2024)

   Dhaouadi, F. and Gavrilyuk, S.

   Proceedings of the Royal Society A, 480(2283), p.20230440.

   preprint    journal    Accepted Copy    Code   
4. A structure-preserving finite volume scheme for a hyperbolic reformulation of the Navier–Stokes–Korteweg equations (2023)

   Dhaouadi, F. and Dumbser, M., 2023

   Mathematics, 11(4), p.876.

   journal    Accepted Copy   
5. A first order hyperbolic reformulation of the Navier-Stokes-Korteweg system based on the GPR model and an augmented Lagrangian approach (2022)

   Dhaouadi, F. and Dumbser, M., 2023

   Journal of Computational Physics, 470, p.111544.

   journal    Accepted Copy   
6. Hyperbolic relaxation models for thin films down an inclined plane (2022)

   Dhaouadi, F., Gavrilyuk, S. and Vila, J.P.

   Applied Mathematics and Computation, 433, p.127378.

   journal    Accepted Copy   
7. Stability theory for some scalar finite difference schemes : Validity of the modified equations approach (2021)

   Dhaouadi F, Duval E, Tkachenko S,Vila J-P.

   ESAIM: Proceedings and Surveys 70, 124-136

   preprint    journal    Accepted Copy   
8. Extended Lagrangian approach for the defocusing nonlinear Schrödinger equation (2018)

   Dhaouadi F, Favrie N, Gavrilyuk S.

   Stud Appl Math. 2018;1–23.

   preprint    journal    Accepted Copy   

Dissemination activities Link to heading

1. Sep. 2024,   Crete, Greece,   HONOM 2024   Slides
   A hyperbolic approximation of the Cahn-Hilliard equation
2. Jun. 2024,   Strasbourg, France,   Sixth Workshop on Compressible Multiphase Flows   Slides
   A hyperbolic approximation of the Cahn-Hilliard equation
3. Jun. 2024,   Bordeaux, France,   Invited seminar at IMB   Slides
   Hyperbolic models for diffusion equations
4. Apr. 2024,   Trento, Italy,   PROHYP 2024   Slides
   An Eulerian hyperbolic model for heat transfer derived via Hamilton’s principle
5. Mar. 2024,   Stuttgart, Germany,   DROPIT Seminar   Slides
   A structure-preserving scheme for a hyperbolic approximation to the NSK equations
6. Jan. 2024,   Concepcion, Chile,   WONAPDE 2024   Slides
   Hyperbolic approximation and numerical methods for the Navier-Stokes-Korteweg equations
7. Sep. 2023,   Hirschegg, Austria,   Hirschegg Workshop 2023   Slides
   A structure-preserving scheme for a hyperbolic approximation to the NSK equations
8. Jun. 2023,   Bordeaux, France,   NUMHYP 2023   Poster
   A hyperbolic model for heat transfer in compressible flows
9. Mar. 2023,   Marseille, France,   GdT Hyperbo   Slides
   A first-order hyperbolic reformulation of the Navier-Stokes-Korteweg equations
10. Aug. 2022,   Zurich, Switzerland,   MULTIMAT 2022   Slides
    A Hyperbolic reformulation of the Navier-Stokes-Korteweg equations
11. Jul. 2022,   Zaraogza, Spain,   CEDYA 2022   Slides
    A Hyperbolic reformulation of the Navier-Stokes-Korteweg equations
12. Jun. 2022,   Malaga, Spain,   HYP 2022   Slides
    A Hyperbolic reformulation of the Navier-Stokes-Korteweg equations
13. Mar. 2022,   Marseille, France,   PROHYP 2022   Slides
    A Hyperbolic reformulation of the Navier-Stokes-Korteweg equations
14. Feb. 2022,   Trento, Italy,   Trento Winter school on advanced numerical methods   Slides
    Hyperbolic formulations of dispersive equations in continuum mechanics
15. Jul. 2021,   Trento, Italy,   NUMHYP 2021   Slides
    A hyperbolic augmented model for the Nonlinear Schrödinger equation
16. Jun. 2020,   ICMS, Edinburgh (online),   Waves in one World Seminar   Slides   Recording
    First Order hyperbolic equations approximating the Defocusing NonLinear Schrödinger equation.
17. Feb. 2020,   Marseille, France,   IUSTI Student Seminar   Slides
    A hyperbolic augmented model for the NonLinear Schrödinger equation.
18. Aug. 2019,   Marseille, France,   CEMRACS 2019   Slides
    Stability theory for finite-difference schemes using modified equations.
19. Aug. 2019,   Marseille, France,   CEMRACS 2019   Slides
    Augmented Lagrangian approach for the defocusing non-linear Schrödinger Equation.
20. May 2019,   Minho, Portugal,   SHARK-FV 2019   Slides   Poster
    A hyperbolic augmented model for thin film flows.
21. May 2018,   Minho, Portugal,   SHARK-FV 2018   Slides
    Extended Lagrangian approach for the defocusing non-linear Schrödinger equation.