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Mathematical Physics Seminar

Quantum kinetic v.s. weak turbulence

Minh Binh Tran: University of Wisconsin

Location:  Hill 705
Date & time: Thursday, 23 March 2017 at 12:00PM - 12:11PM

Although many studies have been carried on to understand the Zakharov weak turbulence equation for capillary waves since its derivation in the 60’s, the question about the existence and uniqueness of solutions to the equation remains unanswered, due to the complexity of the equation. After the production of the first Bose-Einstein Condensates (BECs), there has been an explosion of physics research on the quantum kinetic theory associated to BECs and their thermal clouds. In our talk, we will briefly describe the connection between quantum kinetic and weak turbulence theories. We will also discuss our result trying to answer the existence and uniqueness questions of the Zakharov equation, based on our recent tools developed for quantum kinetic equations.

The talk will be based on the results described on the blog: On the Mathematics of Dispersive Waves and Quantum Gases.


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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530