Preprints

•  Hasegawa-Mima equation in bounded domain with singular density (2025)  "with F. Flandoli" [arXiv]

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

• A nonlinear stochastic diffusion-convection equation with reflection (2024) "with N. Sapountzoglou,  G. Vallet  and  A. Zimmermann" [arXiv]

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

       Peer-reviewed articles

1. Background Vlasov equations and Young measures for passive scalar and vector advection equations under special stochastic scaling limits  [arXiv]

2. Ergodicity for stochastic T-monotone parabolic obstacle problems [arXiv]

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

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

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

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

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

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

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

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

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

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

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

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

15. Tools to prove a parabolic Lewy-Stampacchia’s inequality [Conf. Proc.]

    Theses

•  Parabolic problems with constraints, deterministic and stochastic (PhD Thesis) [HAL]  -defended on 04/12/2020 at UPPA-             

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