Bay Area Microlocal Analysis Seminar: Internal waves for (linearized) fluids and 0th order pseudodifferental operators

Seminar | November 14 | 2:40-3:30 p.m. | 740 Evans Hall

 Maciej Zworski, UC Berkeley

 Department of Mathematics

Colin de Verdière and Saint-Raymond have recently found a fascinating connection between modeling of internal waves in stratified fluids and spectral theory of 0th order pseudodifferential operators on compact manifolds. The purpose of this talk is to show how a version of their results follows from the now standard radial estimates for pseudodifferential operators and some results about Lagrangian surfaces in classical and wave (quantum) settings. Some numerical simulations and comments about the case of positive viscosity will also be provided. Joint work with S. Dyatlov. (For the brave souls who attended the Harmonic Analysis and Differential Equations Student Seminar on the same topic this talk will provide, after re-introduction of the problem, some technical details avoided then.)