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.
During my graduate career, I have studied the global well-posedness and interface regularity for patch problems in nonlinear parabolic equations such as Navier-Stokes and Boussinesq. I have also worked on the Muskat problem, addressing additional questions like large-time decay of solutions or ill-posedness.

A brief summary of my current research can be found in this short version of my ResearchStatement. I am always avalaible through email for more information (edugar@math.upenn.edu).

Publications:

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