معرفی
Simão Correia is an Associate Professor at the Department of Mathematics of the University of Lisbon, affiliated with the Research Center CAMGSD. His research focuses on nonlinear dispersive and elliptic partial differential equations, particularly on local existence, stability of solutions, and blow-up dynamics.
- Current Position: Associate Professor, University of Lisbon
- Research Center: CAMGSD
- Projects: Co-PI of FCT project NoDES
His recent publications address topics such as self-similar solutions for the modified KdV equation, nonlinear smoothing effects in dispersive equations, and stability transitions of NLS ground-states on metric graphs. These works emphasize sharp existence results, multiplier estimates, and applications to mathematical physics. He actively collaborates with researchers like Raphaël Côte, Hugo Tavares, and Jorge Drumond Silva, contributing to the understanding of nonlinear PDEs and their dynamical properties.
Notable current trends include:
- Global and local well-posedness for higher-order dispersive equations
- Stability analysis of stationary and blow-up solutions
- Applications to metric graphs and expanding spacetime models
Correia's work bridges theoretical analysis with physical phenomena, including cosmic rigid rod dynamics and quantum media systems.
