For a completely up-to-date bibliography you can also check my google scholar and my ArXiv profiles.

Preprints

• Sticky-reflecting diffusion as a Wasserstein gradient flow, with J.-B. Casteras and F. Santambrogio, 2024. Preprint
  
  

• Trivariate distribution of sticky Brownian motion, with J.-B. Casteras, 2023. Preprint
  
  

• Construction of a two bubbles blowing-up solution for the fourth order energy critical nonlinear Schrödinger equation, with J.-B. Casteras and I. Holopainen, 2023. Preprint
  
  

• Computing discrete equivariant harmonic maps, with J. Gaster and B. Loustau, 2018. Preprint

Published articles

1. Convex functions defined on metric spaces are pulled back to subharmonic ones by harmonic maps, with H. Lavenant, L. Tamanini and D. Vorotnikov, accepted in Calc. Var. and PDEs, 2023. Preprint
   
   

2. Hidden dissipation and convexity for Kimura equations, with J.-B. Casteras, SIAM Journal of Mathematical Analysis, 2023. Preprint and journal version
   
   

3. Invariant measures and global well-posedness for a fractional Schrödinger equation with Moser-Trudinger type nonlinearity, with J.-B. Casteras, Stoch PDE: Anal Comp, 2023. Preprint  and journal version
   
   

4. The dynamical Schrödinger problem in abstract metric spaces, with L. Tamanini and D. Vorotnikov, Advances in Mathematics, vol. 246, 2023. Preprint and journal version
   
   

5. Schrödinger encounters Fisher and Rao: a survey, with D. Vorotnikov, Geometric Science of Information. GSI 2021. Lecture Notes in Computer Science, vol 12829. Springer, 2021. Preprint and journal version
   
   

6. Gradient flow formulations of discrete and continuous evolutionary models: a unifying perspective, with F. Chalub, A. Ribeiro, and M. Souza, Acta Applicandae Mathematicae, 2021. Preprint and journal version
   
   

7. The Schrödinger problem on the non-commutative Fisher-Rao space, with D. Vorotnikov, Calc. Var. and PDEs, 2020. Preprint  and journal version
   
   

8. A new transportation distance with bulk/interface interactions and flux penalization, Calc. Var. and PDEs, 2021. Preprint  and journal version
   
   

9. Computing harmonic maps between Riemannian manifolds, with J. Gaster and B. Loustau, Canadian Journal of Mathematics, 1-50, 2019. Preprint and journal version
   
   

10. Small noise limit and convexity for generalized incompressible flows, Schrödinger problems, and optimal transport, with A. Baradat, Archive for Rational Mechanics and Analysis, 2019. Preprint and journal version
    
    

11. Simulation of multiphase porous media flows with minimizing movement and finite volume schemes, with C. Cancès, T.O. Gallouët, and M. Laborde, European journal of applied mathematics, 2018. Preprint and journal version
    
    

12. Unbalanced Optimal Transport splitting scheme for general advection-reaction-diffusion problems, with T.O. Gallouët and M. Laborde, ESAIM:COCV, 2018. Preprint and journal version
    
    

13. A degenerate elliptic-parabolic system arising in competitive contaminant transport problems, with M. Baia, F. Bozorgnia and J. Videman, Journal of Mathematical Analysis and Applications, 2018. Preprint and journal version
    
    

14. Incompressible immiscible multiphase flows in porous media: a variational approach, with C. Cancès and T.O. Gallouët, Analysis & PDE, 2017. Preprint and journal version
    
    

15. Numerical investigation of the Free Boundary regularity for a degenerate advection-diffusion problem, EMS Interfaces and Free Boundaries, 2017. Preprint and journal version
    
    

16. A JKO splitting scheme for Kantorovich-Fisher-Rao gradient flows, with T.O. Gallouët, SIAM Journal of Mathematical Analysis, 2017. Preprint and journal version
    
    

17. A multicomponent Poincaré-Beckner inequality, with S. Kondratyev and D. Vorotnikov, Journal of Functional Analysis, 2016. Preprint and journal version
    
    

18. A fitness-driven cross-diffusion system from polulation dynamics as a gradient flow, with S. Kondratyev and D. Vorotnikov, Journal of Differential Equations, 2016. Preprint and journal version
    
    

19. A new optimal transport distance on the space of finite Radon measures, with S. Kondratyev and D. Vorotnikov, Advances in Differential Equations, 2016. Preprint and journal version
    
    

20. Systems of partial differential equations in porous medium, with T. Kuusi and J. Videman, Nonlinear Analysis Series A: Theory, Methods & Applications 133 (2016), pp. 79-101. Preprint and journal version
    
    

21. The gradient flow structure for incompressible immiscible two-phase flows in porous media, with C. Cancès and T.O. Gallouët, Comptes Rendus de l'Académie des Sciences 353 (2015), no 11. Preprint and journal version
    
    

22. An explicit finite-difference scheme for one-dimensional Generalized Porous Medium Equations: Interface tracking and the hole filling problem, ESAIM: Mathematical Modelling and Numerical Analysis, 2015. Preprint and journal version
    
    

23. A Wasserstein gradient flow approach to Poisson-Nernst-Planck equations, with D. Kinderlehrer and X. Xu, ESAIM: control, optimisation and calculus of variations, 2015. Preprint and journal version
    
    

24. A KPP road–field system with spatially periodic exchange terms, with T. Giletti and M. Zhou, Nonlinear Analysis: Theory, Methods & Applications (128), 2015. Preprint and journal version
    
    

25. Linear relaxation to Planar Travelling Waves in Inertial Confinement Fusion, Nonlinearity (26-7), 2013. Preprint and journal version
    
    

26. Traveling wave solutions of advection-diffusion equations with non-linear diffusion, with A. Novikov and J.-M. Roquejoffre, Annales de l'institut Poincaré, Analyse non-linéaire C (30-4), 2013. Preprint and journal version