| back to Research Teams

| Hyperbolic Systems and Singularities in PDEs

Members (Ph. D.)

Antontsev, Stanislav [Ciência2008]
Araújo, António Manuel Bandeira Barata Alves de
Cabral, João
Dias, João Paulo
Fernandes, Teresa Monteiro
Figueira, Mário
Neto, Orlando
Oliveira, Filipe
Saraiva, Luis
Sarrico, Carlos

Students

Mendes, Marco António S.
Simões, Alexandre

Programa de Estímulo à Investigação 2012
(Fundação Calouste Gulbenkian)

Simão Correia

External Collaborators

Amorim, Paulo
Barros, Ricardo
Chalub, Fabio
Mascarenhas, Maria Luísa Martins de Faria
Paiva, Adelino Mendes da Silva
Silva, Pedro Cristiano
Veiga, Hugo Beirão da

Keywords

Conservation laws; Nonstandard growth conditions; Removable singularities ; Singularities of lagrangean varieties.

Objectives

Study of nonlinear hyperbolic conservation laws on manifolds. Study of the propagation of the delta-waves in conservation laws with analytic flux.

Study of the existence and stability of the bound states for hyperbolic systems coupled with nonlinear Schrodinger equations.
Study of the numerical approximation of the solutions of the Benney systems.

Computation of the local fundamental group of a plane curve in terms of its desingularization graph.
Study of some singularity problems in quasilinear parabolic equations.

Study of 19th century Portuguese Mathematical Journals.

| back to Research Teams