He holds a Ph.D. from the University of Buenos Aires (2007). He has experience in Mathematics. Arias of interest, stochastic partial differential equations and recent interest in particle systems. Research productivity scholarship from CNPQ. (Source: Lattes Curriculum)
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The ambition of the project consists in describing and investigate irregular phenomena arising from hydrodynamics, oncology, economics, or complex systems, from a macroscopic-microscopic point of view. We will take advantage of the complementarity of deterministic and stochastic analysis. Many difficulties appear such as discontinuous (even distributional) coefficients, jumps, rough behav…
we will study analytical and probabilistic aspects of irregular models. We will study approximations, via particle systems, of irregular models represented by deterministic partial equations. On the other hand, we will also study the existence, uniqueness and regularity of irregular models represented by stochastic partial differential equations. (AU)
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The research is directed towards the following objectives:1) Study rough path theory and rough equations 2) Solve stochastic transport equations using rough path theory.
We are interested transport and continuity equation via renormalization theory of Di Perna-Lions. Moreover, we are interested in stochastic conservation law.
| 1 / 1 | Ongoing research grants |
| 13 / 13 | Completed research grants |
| 1 / 1 | Ongoing scholarships in Brazil |
| 1 / 0 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 17 / 16 | All research grants and scholarships |
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CV Lattes
ORCID