现在位置:首页 > 学术报告
 

 

Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

Prof. Irene Gamba,Unibersity of Texas as Austin, USA

Inviter:  
Title:
The Cauchy problem and BEC stability for the quantum Boltzmann -Condensation System for bosons at very low temperature
Time & Venue:
2018.7.3 16:00-17:00 N913
Abstract:
We discuss a quantum Boltzmann-Condensation system that describes the evolution of the interaction between a well formed Bose-Einstein condensate and the quasi-particles cloud. The kinetic model is valid for a dilute regime at which the temperature of the gas is very low compared to the Bose-Einstein condensation critical temperature. In particular, the system couples the density of the condensate from a Gross-Pitaevskii type equation to the kinetic equation through the dispersion relation in the kinetic model and the corresponding transition probability rate from pre to post collision momentum states. We show the well-posedness of the Cauchy problem for the system, find qualitative properties of the solution such as instantaneous creation of exponential tails, and prove the uniform condensate stability related to the initial mass ratio between condensed particles and quasi-particles. This stability result leads to global in time existence of the initial value problem for the quantum Boltzmann-Condensation system. This is work in collaboration with R. Alonso and M.B. Tran
 

 

附件下载:
 
 
【打印本页】【关闭本页】
电子政务平台   |   科技网邮箱   |   ARP系统   |   会议服务平台   |   联系我们   |   友情链接