Lab Home | Phone | Search
Center for Nonlinear Studies  Center for Nonlinear Studies
 Home 
 People 
 Current 
 Affiliates 
 Visitors 
 Students 
 Research 
 ICAM-LANL 
 Publications 
 Conferences 
 Workshops 
 Sponsorship 
 Talks 
 Colloquia 
 Colloquia Archive 
 Seminars 
 Postdoc Seminars Archive 
 Quantum Lunch 
 CMS Colloquia 
 Q-Mat Seminars 
 Q-Mat Seminars Archive 
 Archive 
 Kac Lectures 
 Dist. Quant. Lecture 
 Ulam Scholar 
 Colloquia 
 
 Jobs 
 Students 
 Summer Research 
 Visitors 
 Description 
 Past Visitors 
 Services 
 General 
 
 History of CNLS 
 
 Maps, Directions 
 CNLS Office 
 T-Division 
 LANL 
 
Thursday, October 15, 2009
10:00 AM - 11:30 AM
CNLS Conference Room (TA-3, Bldg 1690)

Seminar

Internal waves and mixing processes in the ocean and atmosphere

Ranis Ibragimov
Dept. of Mathematics and RSCAMM (Research & Support Center on Applied Mathematical Modeling) New Mexico Institute of Mining and Technology

In this talk, I will describe my recent results on generation, propagation, interaction and dissipation modeling of internal waves and on the link between mixing processes in the ocean/ atmosphere and the internal wave field. The main goal of the talk is to present and discuss analytic and numeric models describing weakly-nonlinear and non-linear internal waves in the ocean and atmosphere. In particular, it will be shown that Lie Group Analysis provides rigorous derivation of exact solutions of non-linear modeling equations and that the previously known conservation laws can be recovered by means of this theory. Furthermore, utilization of Lie group analysis provides new conservation laws. Some of the invariant solutions, obtained by applying this theory, represent internal wave beams satisfying the energy radiation condition. Also, I plan to discuss a longitudinal atmospheric circulation model with the goal to illustrate the occurrence of solitary wave like solutions and splitting phenomenon for shallow water theory which has never been reported in previous studies.

Host: William Lipscomb