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Teaching

Nonlinear waves: shocks and solitons By Prof. David I. Ketcheson (KAUST)

  • Class schedule:    Thursday, October 8th, 2015​ from 12:00 to 1:00pm  
  • Location: Building 9, Room 2322​

Abstract:​
Why do waves near the shore "break" while those in the deep ocean simply roll?  Why are fast-moving fluids turbulent? Why do supersonic jets create shock waves?  The answer is nonlinearity.  High-intensity waves, whether they be water waves, sound waves, or light waves, exhibit fascinating and mathematically challenging behaviors, due to nonlinearity.  Non-uniformity of the underlying medium can lead to more surprising effects, like negative refraction and cloaking.  When both nonlinearity and spatially-varying materials are involved, waves are capable of even more surprises.  In this talk we will explore wave phenomena in the presence of nonlinearity and heterogeneity.  Our understanding of these waves is fueled by both mathematical analysis and massively parallel numerical simulations.
 
Biography: 
Dr. David I. Ketcheson is an Assistant Professor in the Computer,   Electrical and Mathematical Sciences and Engineering Division. He joined KAUST in July 2009. Dr. Ketcheson earned his doctoral and master’s degrees in Applied Mathematics from the University of Washington, where he was a DOE Computational Science Graduate Fellow.  His work includes development of efficient time integration methods for PDEs, numerical wave propagation algorithms, the modeling of nonlinear wave phenomena in heterogeneous media, and parallel scientific software.