Calculus of one and several variables

Linear algebra

Differential equations

Mathematical modeling

Stochastic equations

Real Analysis

Complex variables

Measure theory

Functional analysis

Semigroups

Navier-Stokes equations and turbulence

"Resultados recentes sobre as equações de Navier-Stokes para fluidos incompressíveis". Primeira Escola Brasileira de Equações Diferenciais (I EBED), IMECC-Unicamp, Campinas, SP. June 9-13, 2003. Slides

"Equações de Navier-Stokes e turbulência". Summer Program at LNCC, Petrópolis, RJ. February 24-27, 2003. Slides

"Equações de Navier-Stokes e turbulência". Summer Program at IM-UFRJ, Rio de Janeiro, RJ. January 4, 6, 8, 18, 20, 22, 2002.

"Navier-Stokes equations and the statistical theory of turbulence", Seventh Paseky School on Mathematical Theory in Fluid Mechanics, Paseky, Czech Republic. June 3-10, 2001.

"Sistemas dinâmicos em dimensão infinita". Short course at IM-UFRJ, Rio de Janeiro, RJ. July 1995.

Several undergraduate students

Seven MSC students

Two PhD students:

Fábio Antônio Tavares Ramos, on "Statistical estimates and dissipation anomaly in fluid turbulence", August 3, 2007

Cecília Freire Mondaini, on "Statistical solutions of the Navier-Stokes equations", May 20, 2014

Anne Caroline Bronzi, "Statistical solutions of the Navier-Stokes equations", August 2010 to July 2012

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