News & Events

 


PIMS Applied Mathematics Colloquium & Applied Math Seminar

Posted in News, Events
Feb 28, 2020

PIMS

PIMS Applied Mathematics Colloquium


Date/Time: Friday, February 28th @ 3:30 PM
Location:
PHYSICS 107

Speaker: Bernard Deconinck, University of Washington

Title: Improving Archimedes: the water wave pressure problem

Abstract: I will discuss a new method to recover the water-wave surface elevation from pressure data obtained at the bottom of a fluid. The new method requires the numerical solution of a nonlocal nonlinear equation relating the pressure and the surface elevation which is obtained from the Euler formulation of the water-wave problem without approximation. From this new equation, a variety of different asymptotic formulas are derived. The nonlocal equation and the asymptotic formulas are compared with both numerical data and physical experiments, demonstrating excellent agreement, significantly beyond what is obtained using Archimedes' p = ρgh


Applied Math Seminar


Date/Time: Friday, February 28th @ 9:30-10:30 AM
Location: PHYSICS 130

Speaker: Bernard Deconinck, University of Washington

Title: The stability of elliptic solutions of the focusing NLS equation

Abstract: The stability of the elliptic solutions of the focusing nonlinear Schrödinger equation (NLS) with respect to subharmonic perturbations is discussed. Using the integrability of NLS, we discuss the spectral stability of the elliptic solutions, establishing that solutions of smaller amplitude are stable with respect to larger classes of perturbations. We show that spectrally stable solutions are orbitally stable by constructing a Lyapunov functional using higher-order conserved quantities of NLS.

We hope to see you all there!

Colloquium Committee
University of Saskatchewan
Department of Mathematics and Statistics
Find us on Facebook @uofs.math.stats and Twitter @UofS_Math_Stats

 

Back to News Listing

Related Articles

USask quanTA centre awarded PIMS funding

Posted on 2020-03-11

The Centre for Quantum Topology and its Applications is the newest PIMS Collaborative Research Group


Pi Day Eve Celebration

2020-03-13
Posted on 2020-03-05

Pi Day 2020


Applied Math Mini-course

2020-02-27
Posted on 2020-02-27

The unified transform method for solving constant coefficient linear PDEs


Indigenous students recognized with achievement awards

Posted on 2020-02-11

Eighteen students in the College of Arts and Science were presented with Indigenous Student Achievement Awards from the University of Saskatchewan