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Bjorn Sandstede: Stability of planar spiral waves

Submitted by Jorge Cisneros on February 18, 2021 - 11:00am
Bjorn Sandstede

Speaker: Bjorn Sandstede, Brown University 

Date: February 18, 2021

Title: Stability of planar spiral waves

Abstract: Spiral waves are striking spatio-temporal structures that often organize the dynamics in dissipative, spatially extended systems. In this talk, I will first give an overview of existence and stability properties of spiral waves. Afterwards, I plan to discuss two recent results about spectral and linear stability of spiral waves. The first result indicates that planar spiral waves that exhibit transverse instabilities in the far field are spectrally stable but linearly unstable. The second result shows that spiral spectra are discontinuous in the zero-diffusion limit for reaction-diffusion models. These results are joint work with Stephanie Dodson and Arnd Scheel.