Bernard Deconinck's Research
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Spectrum of the linearized operator about a soliton solution of
hyperbolic NLS
- Role
- Stability of Nonlinear Waves
- Project Collaborators
- Nate Bottman (MIT)
- Bernard Deconinck (UW)
- John Carter (SU)
- Todd Kapitula (Calvin college)
- Nathan Kutz (UW)
- Michael Nivala
- Dmitry Pelinovsky (McMaster)
- Harvey Segur (CU)
- Project Description
Stability plays an essential role in many branches of science and engineering, including several aspects of fluid mechanics, high-speed transmission of information, and feasibility of MHD fusion devices. The objective of this project is to devise new methods for examining stability.
Thus far, we have examined different aspects of stability and instability of nonlinear waves using both numerical
and analytical techniques.