Talks

On the topological size of the class of Leray solutions with algebraic decay, Recife, Brazil. 2024.

Upper and Lower Estimates for a Class of Diffusive Equations: The micropolar case, Recife. 2023.

On the topological size of the class of Leray solutions with algebraic decay, Campinas, SP, Brazil. 2023.  

Micro-rotation and Vorticity in Micropolar Flows, Ribeirão Preto, SP, Brazil. 2023.

The Inverse Wiegner`s Theorem for the Navier-Stokes Equations and Some Consequences, ICMC Summer Meeting, São Carlos, SP, Brazil, 2023.


Upper and lower Hm estimates for solutions to a class of diffusive equations, ICMC 2022 (to see more, click here)

We prove results concerning upper and lower decay estimates for homogeneous Sobolev norms of solutions to a rather general family of diusive equations. Following the ideas of Kreiss, Hagstrom, Lorenz and Zingano, we use eventual regularity of solutions to directly work with smooth solutions in physical space, bootstrapping decay estimates from the L 2 norm to higher order derivatives. Besides obtaining upper and lower bounds through this method, we also obtain reverse results: from higher order derivatives decay estimates, we deduce bounds for the L 2 norm. We use these general results to prove new decay estimates for some equations and to recover some well known results. This is joint work with Robert Guterres, César Niche, and Paulo Zingano

On the inverse Wiegner`s result for some dissipative systems, Chile,  2022.

On the inverse Wiegner`s result for some dissipative systems, João Pessoa. 2022. 

New asymptotic inequalities for solutions of the micropolar equations and applications, summer school, João Pessoa, Brazil, 2021.

On the relation between Vorticity and Micro-Rotation In Incompressible Micropolar Flow, COMCA 2021, Chile, 2021.

Upper and lower Hm estimates for solutions of parabolic equations, coloquios del departamento de matemática, Chile, 2021. 

Time asymptotic profiles to the magneto-micropolar system in Rn (n=2,3), Seminario de ecuaciones diferenciales y análisis numérico, Seville, Spain, 2019. 

A new fundamental inequality for solutions of the magneto-micropolar equations in 2D and 3D Euclidean spaces, 4th Workshop on Nonlinear Dispersive Equations, Rio de Janeiro, Brazil, 2019. 

Large time decay for solutions of the magneto-micropolar system.VIII Workshop on Nolinear PDE's and Geometric Analysis, João Pessoa, Brazil, 2019.

A new asymptotic inequality and time decay for solutions of the magneto-micropolar system, Nonlinear Dispersive Equations, Florianópolis, Brazil, 2018.

Taxas de Decaimento para fluidos magneto micropolares, CNMAC, São José dos Campos, São Paulo, Brazil, 2017.

Taxas de Decaimento para o sistema micropolar, Colóquio Brasileiro de Matemática, IMPA, Rio de Janeiro, Brazil, 2017.

Leray's problem for the incompresssible Navier - Stokes equations in R3, International Conference on Current Trends in Analysis and Partial Differential Equations, IMPA, Rio de Janeiro, Brazil, 2015.