Applied Mathematics Colloquium
Tuesday,
April 11, 2017
2:45 AM - 3:45 AM
David I. Ketcheson
Mathematical and Computer Sciences and Engineering Division at KAUST
"Dispersive effects in for nonlinear waves in periodic media"
Mathematical and Computer Sciences and Engineering Division at KAUST
"Dispersive effects in for nonlinear waves in periodic media"
Hyperbolic PDE models like those of shallow water waves or nonlinear elastic waves generically lead to shock formation or wave breaking. These systems do not describe dispersive waves, but dispersive effects can arise in such systems as a result of periodically- or randomly-varying coefficients or ambient state. Effective dispersion can arise due to both reflection and diffraction of waves, and it can drastically alter the long-term evolution of solutions, for instance by leading to solitary waves or by destabilizing shock waves. I will review what is known about these effects and some open questions.
Host: Kyle Mandli
Host: Kyle Mandli
LOCATION:
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