Research

My research interests lie within analysis, partial differential equations and fluid mechanics. More specifically, I am interested in the evolution of moving incompressible fluid interfaces coming from physical models.

Publications:

  1. The Peskin Problem with Viscosity Contrast, with Y. Mori, R. Strain. Preprint, arXiv:2009.03360, (2020). (Link to ArXiv)
  2. Global Regularity for Gravity Unstable Muskat Bubbles, with F. Gancedo, N. Patel and R. Strain. Submitted, arXiv:1902.02318, (2019). (Link to ArXiv)
  3. Regularity results for viscous 3D Boussinesq temperature fronts, with F. Gancedo.  Commun. Math. Phys., 376, 1705–1736 (2020). (Link to ArXiv)
  4. On the Muskat problem with viscosity jump: Global in time results,
    with F. Gancedo, N. Patel and R. Strain. Adv. Math., Vol. 345, P. 552-597, (2019). (Link to ArXiv)
  5. Global regularity of 2D density patches for inhomogeneous Navier-Stokes,
    with F. Gancedo. Arch. Ration. Mech. Anal. (2018), 229:339. (Link to ArXiv)
  6. Global regularity for 2D Boussinesq temperature patches with no diffusion,
    with F. Gancedo. Ann. PDE (2017), 3: 14. (Link to ArXiv)

Preprints of my papers can be found in ArXiv, ResearchGate. Information about talks, workshops and grants can be found in my Curriculum Vitae.