Research

RESEARCH INTERESTS

• PDEs in Fluid Mechanics

• Free Surface Problems

• Water Waves and Asymptotic Models

• Fluid-Structure Interactions

• Rotating Compressible Fluids

• Muskat Problem and Thin Film Approximations

PAPERS

Publications and Preprints

• Sharp asymptotics of the 3D Stokes problem near multiple collisions,
  with D. Bonheure and M. Hillairet, in preparation.

• Global-in-time estimates for the 2D one-phase Muskat problem with contact points,
  with Á. Castro and F. Gancedo, preprint (2025).

• Equilibrium configurations of a 3D fluid-beam interaction problem,
  with V. Bianca and F. Gazzola, accepted in App. Math. Optim. (2025).

• A measure for the stability of structures immersed in a 2D laminar flow,
  with F. Gazzola, Boll. Unione Mat. Ital. 18, 49-63 (2025).

• Asymmetric equilibrium configurations of a body immersed in a 2D laminar flow,
  with F. Gazzola, Z. Angew. Math. Phys. 74, 180 (2023).

• Rigorous thin film approximations of the one-phase unstable Muskat problem,
  with F. Gancedo, Indiana Univ. Math. J. 73, 5, 1747-1796 (2024).

• Well-posedness of a nonlinear shallow water model for an oscillating water column with time-dependent air pressure,
  with J. He and G. Vergara-Hermosilla, J. Nonlinear Sci. 33, 103 (2023).

• Anisotropy and stratification effects in the dynamics of fast rotating compressible fluids,
  with F. Fanelli and C. Prange, Ann. Inst. H. Poincare Anal. Non Lineaire 39, 3, 647-704 (2022).

• Modelling and simulation of a wave energy converter,
  with J. He and G. Vergara-Hermosilla, ESAIM Proc. Surveys 70 (2021) 68-83.

• On the return to equilibrium problem for axisymmetric floating structures in shallow water,
  Nonlinearity 33, 3594 (2020).

• Floating structures in shallow water: local well-posedness in the axisymmetric case,
  SIAM J. Math. Anal. 52 (1), 306-339 (2020).

Other works

• Compressible-incompressible transitions in fluid mechanics: waves-structures interaction and rotating fluids,
  Ph.D. Thesis, Universite de Bordeaux, 2019.

• Inhomogeneous incompressible Navier-Stokes equations in vacuum,
  edited with M. Bravin, Lecon de Mathematiques et d'Informatique d'Aujourd'hui of R. Danchin, 2019.