Simão Correia

collaborators

3 papers

gr-qc2025

Elastic rigid rod in an expanding universe

SimÃ£o Correia, JosÃ© NatÃ¡rio, Jorge Drumond Silva

We study the motion of a rigid elastic rod, initially set in its relaxed state along a spacelike geodesic, in an expanding Friedmann-LemaÃ®tre-Robertson-Walker universe. This leads…

math.AP2025

Sharp local well-posedness for the SchrÃ¶dinger-Korteweg-de Vries system

SimÃ£o Correia, Felipe Linares, Jorge Drumond Silva

We prove a sharp local existence result for the SchrÃ¶dinger-Korteweg-de Vries system with initial data in $H^{k} (R) \times H^{s} (R)$ . The proof is based on the concep…

math.AP2024

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities

SimÃ£o Correia, Pedro Leite

We consider a general nonlinear dispersive equation with monomial nonlinearity of order $k$ over $R^{d}$ . We construct a rigorous theory which states that higher-order nonli…