5 papers · 1 filter
Global time-analytic strong solutions for a class of 3-wave kinetic equations
Nguyen Gia Hien, Gigliola Staffilani, Minh-Binh Tran
We study a class of 3-wave kinetic equations arising in wave turbulence theory, with regularized kernels. For radial, nonnegative initial data, we construct an exact global-in-time…
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…
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…
Condensation and non-condensation times for 4-wave kinetic equations
Gigliola Staffilani, Minh-Binh Tran
Inspired by the pioneering work of Escobedo and Velazquez \cite{EscobedoVelazquez:2015:FTB,EscobedoVelazquez:2015:OTT}, we prove that solutions of 4-wave kinetic equations, under v…
On the energy transfer towards large values of wavenumbers for solutions of 4-wave kinetic equations
Gigliola Staffilani, Minh-Binh Tran
Inspired by the fundamental work of Escobedo and Velazquez \cite{EscobedoVelazquez:2015:FTB,EscobedoVelazquez:2015:OTT}, we prove that solutions of 4-wave kinetic equations, under…