Welcome to my personal webpage

Ricardo Rosa

I am a Full Professor at the Applied Mathematics Department (Matemática Aplicada) in the Institute of Mathematics of the Federal University of Rio de Janeiro (Instituto de Matemática/Universidade Federal do Rio de Janeiro - IM/UFRJ), with a PhD degree in Applied Mathematics from the Indiana University, USA.

My background is on Partial Differential Equations, with emphasis in Infinite Dimensional Dynamical Systems, incompressible Navier-Stokes equations, and statistical solutions connected with turbulence.

— Ricardo M. S. Rosa

News

⟩⟩⟩ Teaching: Stochastic Differential Equations

This semester, 2025/1, I am teaching an advanced ungraduate-level course on Stochastic Differential Equations and an introductory ungraduate-level course on Ordinary Differential Equations.

⟩⟩⟩ Recent preprints

"Strong order-one convergence of the Euler method for random ordinary differential equations driven by semi-martingale noises" (Peter E. Kloeden, Ricardo M. S. Rosa) arXiv:2306.15418 [math.PR]

"On the convergence of trajectory statistical solutions" (Anne C. Bronzi, Cecilia F. Mondaini, Ricardo M.S. Rosa) arXiv:2412.02117 [math.AP]

⟩⟩⟩ Memorial tribute to Ciprian Foias published in Notices of the American Mathematical Society

Article "Remembrances of Ciprian Ilie Foias" published in Notices of the American Mathematical Society.

⟩⟩⟩ Slides of my talk at our usual PDE & Analysis seminar - June 2025

Here are the slides of my talk on Optimal minimax bounds for the Navier-Stokes equations.