Research Group

PDE's Research Group

Professors, Associate Professors and Adjoint Professors/Docentes

	Ademir Pastor Dispersive equations: local and global well-posedness, scattering and global behavior of solutions, nonlinear and orbital stability of traveling waves solutions. Elliptic equations: existence and regularity of solutions, non-local equations and concentrations-compactness method.
	Aloísio José F. Neves Ordinary differential equations, spectral analysis. Hyperbolic and dispersive partial differential equations. Orbital stability and asymptotic behavior.
	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.
	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 dipersive equations: local and global well-posedness of the Cauchy problem. Stability, unique continuation property and long time behavior of solutions.
	Marcelo da Silva Montenegro Partial Differential equations: Elliptic and parabolic and quase linear equations. Free boundary problems and higher order operators.
	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 proterties of solutions.
	Olivaine Santana de Queiroz Nonlinear elliptic and parabolic PDEs. More specifically: free boundary problems. PDE's with nonlinear diffusions. Nonlinear problems driven by some geometric quantities.

Temporary/Docentes temporários

Ricardo Ribeiro

Mean field games, (coupled systems of) partial differential equations, optimal control, viscosity solutions of Hamiston-Jacobi equations, weak KAM theory and Hamiltonian systems.

Post-doctoral fellows/pós-doutorados

	Maicon Benvenutti (2014 - ) 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.
	Angelo Roncalli Furtado de Holanda (2014 - ) Nonlinear Elliptic PDEs. More specifically: boundary blow-up problems, free boundary problems.
	Alessio Fiscella (2014 - ) 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.
	Cláudia Santos (2014 - ) Elliptic and Parabolic Partial Differential Equations: existence, qualitative properties and asymptotic behavior of solutions in singular spaces.
	Anderson Araujo (2014 - ) Qualitative theory of parabolic and elliptic partial differential equations. Optimal control theory for PDEs. Semigroup theory. Qualitative theory of Ordirnary Differential Equations.
	Paulo Mendes (2013 -) Partial Differential Equations, mainly in Differential Equations with Fractional Temporal Derivatives. Nonlinear Dynamical system, Spectral Theory of unbounded operators and Fluid Dynamics.