Peer-reviewed articles

1. Stretching of Polymers and turbulence: Fokker Planck equation, special stochastic scaling limit and stationary law  [arXiv] [Journal]

2. Stochastic  pseudomonotone parabolic obstacle problem: well-posedness & Lewy-Stampacchia's inequalities [arXiv][Journal]

3. Large deviations for an obstacle problem with T-monotone operator and  multiplicative noise [arXiv] [Journal]

4. Optimal control of third grade fluids  with multiplicative noise [arXiv] [Journal]

5. Invariant measures for a class of stochastic third grade fluid equations in 2D and 3D bounded domains. [arXiv][Journal]

6. On Lewy Stampacchia inequalities for a pseudomonotone parabolic obstacle  problem with L^1-data.  [Journal] 

7. Local strong solutions to the stochastic third grade fluid equations with Navier boundary conditions. [arXiv] [Journal]

8. Obstacle problem for a stochastic conservation law and Lewy-Stampacchia inequality.  [Hal] [Journal] 

9. Optimal control of two-dimensional third grade fluids. [arXiv]  [Journal] 

10. Lewy-Stampacchia’s inequality for a stochastic T-monotone obstacle problem. [Journal] 

11. Lewy-Stampacchia’s inequality for a pseudomonotone parabolic problem.   [Hal] [Journal] 

12. On Lewy-Stampacchia inequalities for pseudomonotone elliptic bilateral problem in variable exponent Sobolev spaces. [Journal]

13. Tools to prove a parabolic Lewy-Stampacchia’s inequality: Monografias Matemáticas Garcia de Galdeano, 42, 285-295 (2019).    

    Preprints

14.  Hasegawa-Mima equation in bounded domain with singular density (2025) [arXiv]  (with Franco Flandoli)

15.  Small-scale turbulence limit of Fokker-Planck equation for polymers in turbulent flow (2025) [arXiv] 

16. A nonlinear stochastic diffusion-convection equation with reflection (2024) [arXiv]   (with Niklas Sapountzoglou,  Guy Vallet  and  Aleksandra Zimmermann)

17. Background Vlasov equations and Young measures for passive scalar and vector advection equations under special stochastic scaling limits  (2024)  [arXiv]                            (with Federico Butori, Franco Flandoli, Eliseo Luongo) 

18. Ergodicity for stochastic T-monotone parabolic obstacle problems (2023) [arXiv] 

19. On the existence and long time behaviour of H¹-weak solutions for 2, 3d-stochastic third grade fluids equations  (2023) [arXiv] (with Fernanda Cipriano and Raya Nouira)

Theses

• PhD Thesis:  Parabolic problems with constraints, deterministic and stochastic  "12/2020"  [HAL version]            

• Msc/Magister Thesis: Time discretization method to solve parabolic problems with a  monotone operator and a stochastic force "07/2017" [Pdf]

• BSc  thesis: Some applications of Baire category theorem "07/2015" (in Arabic)