Abstract
During the visit of Prof. Stevan we will work on applications of the theory of generalized functions in the petroleum sector. (AU)
graduation at Bacharelado Em Matematica from Universidade Federal da Paraíba (1988), master's at Mathematics from Universidade Federal do Ceará (1990) and doctorate at Mathematics from Universidade de São Paulo (1994). Has experience in Mathematics, focusing on Groups of Noncommutative Algebra, acting on the following subjects: unit, escola pública, colombeau, anel de grupo and group ring. (Source: Lattes Curriculum)
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During the visit of Prof. Stevan we will work on applications of the theory of generalized functions in the petroleum sector. (AU)
The Theory of Colombeau Generalized Functions has under gone a rapid grow during the last few years. It is establishing itself as a useful tool in the fields of Analyses, Geometry and Physics. The algebraic approach, started by researchers of IME-USP, has become one of the principal directions for intrinsic tools development making possible further theoretical developments. At the same t…
We sill define new algebras of generalized functions and use them to study irregular solutions of PDEs and make numerical simulations to sustain the results obtained.Applications in engineering problems will be considered and the results obtained will be compared with existing or recently obtained results.
We will continue our research with Eric Jespers,,started in 1997. Since then we advanced considerably in the description of the unit group of a group ring. We will continue to study hiperbolicity of the unit group, units in general and also the classification of those groups whose automorphisms og subgroups extend to the whole group. (AU)
8 / 3 | Completed research grants |
3 / 1 | Completed scholarships in Brazil |
4 / 1 | Completed scholarships abroad |
15 / 5 | All research grants and scholarships |
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