Ademir Pastor

Dispersive equations: local and global well-posedness, scattering and global behavior of solutions, nonlinear and orbital stability of travelling waves solutions. Elliptic equations: existence and regularity of solutions, non-local equations and concentrations-compactness method.

Alessio Fiscella

Nonlinear Elliptic PDEs, in particular variational problems involving non-local elliptic operators of fractional type.
Nonlinear Evolution PDEs: local and global well-posedness of the Cauchy problem, blow-up results.

Anne Caroline Bronzi

Fluid Dynamics Equations: existence, uniqueness and regularity of solutions.
Theory of statistical solutions for evolution equations.

Bianca Morelli R. Calsavara

Parabolic PDEs: Mathematical analysis, control and controllability for phase-change models and biological models.
Hyperbolic PDEs: energy decay and controllability.

Djairo Guedes de Figueiredo

Partial Differential Equations: variational methods, semi-linear elliptic equations.

Gabriela Planas

Fluid Dynamic Equations: existence, qualitative properties and asymptotic behavior of solutions.
Phase change problems: modelling and mathematical analysis.

Giuliano Angelo Zugliani

Linear partial differential equations on manifolds: global solvability and global hypoellipticity.

João Vitor da Silva

Elliptic and parabolic regularity theories for nonlinear problems. Sharp estimates for fully nonlinear equations. Geometric regularity estimates in problems with free boundaries. Asymptotic problems governed by p-Laplacian type operators. Regularity estimates for non-local problems.

José Luiz Boldrini

Partial Differential Equations: Mathematical analysis and control of the equations modelling mechanical phenomena in continuous medium and bio-mathematics.

Lucas Catão de F. Ferreira

Fluid Mechanics and Parabolic PDEs: existence, qualitative properties and asymptotic behavior of solutions.
Elliptic and Dispersive PDEs: existence, qualitative properties and asymptotic behavior of solutions. Optimal mass transport and its applications.

 Mahendra Prasad Panthee

Nonlinear dispersive equations: local and global well-posedness of the Cauchy problem.Stability, unique continuation property and long-time behavior of solutions.

Marcelo Martins dos Santos

Navier-Stokes equations: Cauchy and initial boundary value problems, lagrangean structure, Leray problem. Conservation laws and compensated compactness method. Parabolic equations and systems. Linear stability in field theory.

Márcia Assumpção Guimarães Scialom

Nonlinear Dispersive Equations: local and global well-posedness of the Cauchy problem. Stability and other qualitative properties of solutions.

Maicon Benvenutti (2014 – 2015)

Fluid dynamics: incompressible Navior-Stokes and Euler equations, singular initial data, vortex dynamics, blow-up, large time behavior and non-linear stability.
Hyperbolic systems: stabilization and large time behavior.

Matheus Correia dos Santos (2015 – 2016)

Nonlinear elliptic equations, optimal transport methods and application to nonlinear nonlocal evolution equations.

Alessio Fiscella (2014 – 2017)

Nonlinear Elliptic PDEs, in particular variational problems involving non-local elliptic operators of fractional type.
Nonlinear Evolution PDEs: local and global well-posedness of the Cauchy problem, blow-up results.

Richard De la Cruz (2017 – 2018)

Hyberbolic differential equations: hyperbolic systems of conservation laws, existence of shocks and delta waves under entropy condition.

Vanderley Alves Ferreira Junior (2017- 2018)

Higher order equations: fourth order ellpitic and parabolic PDEs – existence and qualitative properties of solutions.
Fourth order hyperbolic PDEs modelling oscillations in ellastic plates – existence, qualitative properties and asymptotic behavior of solutions.

Wanderley Nunes do Nascimento (2016-2017)

Linear hyperbolic equations: a priori estimates, time-dependent coefficients, Strichartz estimates.
Nonlinear hyperbolic equations: Global existence in time and blow-up results.
Nonlinear Dispersive equations: local and global well-posedness of the Cauchy problem.

Fabrício Cristófani (2018 – 2020)

Nonlinear dispersive systems.

Leonardo Kosloff (2017 – 2021)

Fluid dynamic equations: existence, qualitative properties and asymptotic behavior of solutions in the presence of boundaries, possibly incorporating dispersive phenomena.

Francisco Javier Vielma Leal (2020 – 2022)

Juliana Honda Lopes (2021 – 2022)

Giane Casari Rampasso (2019 – 2022)

João Fernando da Cunha Nariyoshi (2021 – 2023 )

Luccas Cassimiro Campoos (2021 – 2022)

Renata de Oliveira Figueira (2022 – 2023)

Elzon Cézar Bezerra Júnior (2022 – 2023)

Edison Fausto Cuba Huamani (2022 – 2024)