3 papers
gr-qc2025
Elastic rigid rod in an expanding universe
Simão Correia, José Natário, 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-Lemaître-Robertson-Walker universe. This leads…
math.AP2024
Sharp local well-posedness for the Schrödinger-Korteweg-de Vries system
Simão Correia, Felipe Linares, Jorge Drumond Silva
We prove a sharp local existence result for the Schrödinger-Korteweg-de Vries system with initial data in . The proof is based on the concept…
gr-qc2024
Free-falling motion of an elastic rigid rod towards a Schwarzschild black hole
Luís Machado, José Natário, Jorge Drumond Silva
We study the motion of an elastic rigid rod which is radially free-falling towards a Schwarzschild black hole. This is accomplished by reducing the corresponding free-boundary PDE…