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)
(Only some records are available in English at this moment)
The proposed research work consists of studying equations stochastic inhomogeneous Euler in Besov and Triebel-Lizorkin spaces. We will also study well-posness stochastic inhomogeneous Euler-Vlasov systems in spaces of Sobolev.
The proposed research work consists of studying certain types of irregular models represented by partial differential equations with roughnoise. One of the main objectives is to obtain quantitative estimates toapproximate, using particle systems, irregular models represented bypartial differential equations with rough noise. Also, we will study existence and uniqueness of these equations …
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 |
| 2 / 2 | Ongoing scholarships in Brazil |
| 2 / 1 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 19 / 18 | All research grants and scholarships |
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CV Lattes
ORCID