Wiki source code of Anxo Fariña Biasi

Last modified by Ricardo Julio Rodríguez Fernández on 2025/07/07 10:16

Hide last authors
Ricardo Julio Rodríguez Fernández 4.1 1 === Energy Transfer and Structure Formation in Hamiltonian equations ===
2 ==== Supervisor: Anxo Fariña Biasi
Ricardo Julio Rodríguez Fernández 2.1 3 ====
4
Ricardo Julio Rodríguez Fernández 4.1 5 This project investigates the fundamental mechanisms of energy transfer and the emergence of coherent structures in Hamiltonian equations, which describe a wide range of physical systems including aspects of general relativity, cold atom systems, and fluid dynamics. The central aim is to understand how nonlinearity and dispersion interact to redistribute energy across scales, leading to the formation of structures such as solitons, condensates, and even black holes. The project contributes to a deeper understanding of nonlinear Hamiltonian dynamics and the universal behaviors that emerge from energy-conserving laws. These questions have significant implications for both theoretical and applied physics, including the prediction of turbulent behavior and the development of control strategies in nonlinear media.
6 physics is preferred.