3 papers
math-ph2025
Finite time energy cascade for mixed and wave kinetic equations
Gigliola Staffilani, Minh-Binh Tran
In this work we study a kinetic equation whose collision operator comprises three distinct wave interaction mechanisms: one representing a 3-wave process, and two corresponding to…
math-ph2025
Evolution of finite temperature Bose-Einstein Condensates: Some rigorous studies on condensate growth
Gigliola Staffilani, Minh-Binh Tran
In trapped Bose-Einstein condensates (BECs), \emph{condensate growth} refers to the process in which an increasing number of quasi-particles are immediately transferred from the no…
math.AP2025
Formation of condensations for non-radial solutions to 3-wave kinetic equations
Gigliola Staffilani, Minh-Binh Tran
We consider in this work a -dimensional -wave kinetic equation describing the dynamics of the thermal cloud outside a Bose-Einstein Condensate. We construct global non-radial…