Journal articles & Preprints

1. Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation, together with Julian Fischer. Communications in Partial Differential Equations, Vol. 47, No. 7, p. 1394–1434 (2022). Reprint link. Journal link.

2. Differentiability in measure of the flow associated with a nearly incompressible BV vector field, together with Stefano Bianchini. Archive for Rational Mechanics and Analysis, Vol. 246, No. 2–3, p. 659–734 (2022). Reprint link. Journal link.

3. Boundary controllability and asymptotic stabilization of a nonlocal traffic flow model, together with Alexandre Bayen, Jean-Michel Coron, Alexander Keimer, and Lukas Pflug. Vietnam Journal of Mathematics, Vol. 49, No. 3, p. 957–985 (2021). Reprint link. Journal link.

4. Singular limits with vanishing viscosity for nonlocal conservation laws, together with Giuseppe Maria Coclite, Alexander Keimer, and Lukas Pflug. Nonlinear Analysis, Vol. 211, Article ID 112370, 12 p. (2021). Reprint link. Journal link.

5. A general result on the approximation of local conservation laws by nonlocal conservation laws: The singular limit problem for exponential kernels, together with Giuseppe Maria Coclite, Jean-Michel Coron, Alexander Keimer, and Lukas Pflug. Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire, Vol. 40, No. 5, p. 1205–1223 (2023). Reprint link. Journal link.

6. Vanishing viscosity for a 2 × 2 system modeling congested vehicular traffic, together with Giuseppe Maria Coclite, Mauro Garavello, and Francesca Marcellini. Networks & Heterogeneous Media, Vol. 16, No. 3, p. 413–426 (2021). Reprint link. Journal link.

7. On existence and uniqueness of weak solutions to nonlocal conservation laws with BV kernels, together with Giuseppe Maria Coclite, Alexander Keimer, and Lukas Pflug. Zeitschrift für Angewandte Mathematik und Physik, Vol. 73, No. 6, Paper No. 241, 10 p. (2022). Reprint link. Journal link.

8. On Liouville-type theorems for the 2D stationary MHD equations, together with Francis Hounkpe and Simon Schulz. Nonlinearity, Vol. 35, No. 2, p. 870–888 (2022). Reprint link. Journal link.

9. On the controllability of entropy solutions of scalar conservation laws at a junction via Lyapunov methods, together with Enrique Zuazua. Vietnam Journal of Mathematics, Vol. 51, p. 71–88 (2023). Reprint link. Journal link.

10. Critical functions and blow-up asymptotics for the fractional Brezis–Nirenberg problem in low dimension, together with Tobias König. Calculus of Variations and Partial Differential Equations, Vol. 62, No. 4, Paper No. 114, 52 p. (2023). Preprint link. Journal link.

11. Stability with explicit constants of the critical points of the fractional Sobolev inequality and applications to fast diffusion, together with Tobias König. Journal of Functional Analysis 285, No. 9, Article ID 110093, 30 p. (2023). Reprint link. Journal link.

12. Interface propagation properties for a nonlocal thin-film equation, together with Roman M. Taranets. SIAM Journal on Mathematical Analysis, Vol. 56, No. 1, p. 173–196 (2024). Preprint link. Journal link.

13. Long-time convergence of a nonlocal Burgers’ equation towards the local N-wave, together with Giuseppe Maria Coclite, Alexander Keimer, Lukas Pflug, and Enrique Zuazua. Nonlinearity, Vol. 36, No. 11, p. 5998–6019 (2023). Preprint link. Journal link.

14. Control of hyperbolic and parabolic equations on networks and singular limits, together with Jon Asier Bárcena-Petisco, Marcio Cavalcante, Giuseppe Maria Coclite, and Enrique Zuazua. Mathematical Control and Related Fields, Vol. 15, No. 1, p. 348–389 (2025). Preprint link. Journal link.

15. The stationary critical points of the fractional heat flow, together with Shigeru Sakaguchi. Accepted for publication in Journal of Differential Equations (2025). Preprint link.

16. On the decay of one-dimensional locally and partially dissipated hyperbolic systems, together with Timothée Crin-Barat and Enrique Zuazua. Accepted for publication in ESAIM: Control, Optimisation and Calculus of Variations (2025). Preprint link.

17. Fractional Hardy–Rellich inequalities via integration by parts, together with Sidy Moctar Djitte. Nonlinear Analysis, Vol. 243, Article ID 113478, 12 p. (2024). Preprint link. Journal link.

18. Scaling limits for fractional polyharmonic Gaussian fields, together with Florian Schweiger. Accepted for publication in Annales de l’Institut Henri Poincaré, Probabilités et Statistiques (2025). Preprint link.

19. Oleinik-type estimates for nonlocal conservation laws and applications to the nonlocal-to-local limit, together with Giuseppe Maria Coclite, Maria Colombo, Gianluca Crippa, Alexander Keimer, Elio Marconi, Lukas Pflug, and Laura Valentina Spinolo. Journal of Hyperbolic Differential Equations, Vol. 21, No. 3, p. 681–705 (2024). Preprint link. Journal link.

20. Symmetry results for some overdetermined obstacle problems, together with Shigeru Sakaguchi. Proceedings of the American Mathematical Society, Vol. 153, No. 7, p. 2919–2932 (2025). Preprint link. Journal link.

21. Inverse design and boundary controllability for the chromatography system, together with Carlotta Donadello, Giuseppe Maria Coclite, and Florian Peru. Milan Journal of Mathematics, Vol. 92, No. 2, p. 547–578, (2024). Preprint link. Journal link.

22. Sharp bounds on enstrophy growth for viscous scalar conservation laws, together with Dallas Albritton. Nonlinearity, Vol. 36, No. 12, p. 7142–7148 (2023). Reprint link. Journal link.

23. Exponential convergence to steady-states for trajectories of a damped dynamical system modelling adhesive strings, together with Giuseppe Maria Coclite, Francesco Maddalena, Gianluca Orlando, and Enrique Zuazua. Mathematical Models and Methods in Applied Sciences, Vol. 34, No. 8, p. 1445–1482 (2024). Preprint link. Journal link.

24. Non-degeneracy, stability, and symmetry for the fractional Caffarelli–Kohn–Nirenberg inequality, together with Federico Glaudo and Tobias König. Communications in Partial Differential Equations, Vol. 50, No. 8, p. 984–1028 (2025). Preprint link. Journal link.

25. Pointwise constraints for scalar conservation laws with positive wave velocity, together with Denis Serre and Enrique Zuazua. Zeitschrift für Angewandte Mathematik und Physik, Vol. 76, No. 3, Paper No. 111, 17 p. (2025). Preprint link. Journal link.

26. Optimal regularity for the 2D Euler equations in the Yudovich class, together with David Meyer and Christian Seis. Journal de Mathématiques Pures et Appliquées, Vol. 191, Article ID 103631, 36 p. (2024). Preprint link. Journal link.

27. Existence and asymptotic behaviour of solutions for a multi-dimensional fractional thin-film equation, together with Stefano Lisini, Antonio Segatti, and Roman Taranets. Accepted for publication in Nonlinear Differential Equations and Applications (2024). Preprint link.

28. On a nonlocal regularization of a non-strictly hyperbolic system of conservation laws, together with Giuseppe Maria Coclite. Accepted for publication in Nonlinear Analysis: Real World Applications (2025). Preprint link.

29. Optimal transport of measures via autonomous vector fields, together with Xavier Fernández-Real. Transactions of the American Mathematical Society, Vol. 378, No. 12, p. 8565–8592 (2025). Preprint link. Journal link.

30. Nested discontinuous asymptotic profiles for the viscous Burgers equation with infinite mass, together with Eliot Pacherie. Submitted (2024). Preprint link.

31. Feedback stabilization for entropy solutions of a 2 × 2 hyperbolic system of conservation laws at a junction, together with Giuseppe Maria Coclite, Mauro Garavello, and Francesca Marcellini. Journal de Mathématiques Pures et Appliquées, Vol. 205, Article ID 103774, 25 p. (2026). Preprint link. Journal link.

32. Fractional cross-diffusion in a bounded domain: existence, weak-strong uniqueness, and long-time asymptotics, together with Nicola Zamponi. Submitted (2024). Preprint link.

33. Regularity aspects of Leray–Hopf solutions to the 2D inhomogeneous Navier–Stokes system and applications to weak-strong uniqueness, together with Timothée Crin-Barat, Stefan Škondrić, and Alessandro Violini. Accepted for publication in Nonlinearity (2025). Preprint link.

34. Zero diffusion-dispersion limit for the Benjamin–Ono–Burgers equation, together with Giuseppe Maria Coclite, Ola H. Mæhlen, and Eliot Pacherie. Accepted for publication in Nonlinearity (2025). Preprint link.

35. Uncertainty principles for a kinetic equation, together with Minh-Binh Tran. Mathematical Control and Related Fields (2025). Preprint link. Journal link.

36. Stability and instability of a one-dimensional MHD model, together with Jie Guo and Quansen Jiu. Submitted (2025). Preprint link.

37. Asymptotically compatible entropy consistent schemes for nonlocal conservation laws, together with Kuang Huang. Submitted (2025). Preprint link.

38. Controllability of a one-dimensional dynamic debonding model, together with Arick Shao. Submitted (2025). Preprint link.

39. Singular limit for a class of nonlocal conservation laws via compensated compactness, together with Giuseppe Maria Coclite and Kuang Huang. Submitted (2025). Preprint link.

40. A Volterra equation approach to the local limit of nonlocal traffic models, with Kuang Huang. Submitted (2025). Preprint link.