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• W1488541292 abstract "We demonstrate a geometrically inspired technique for computing Evans functions for the linearised operators about travelling waves. Using the examples of the F-KPP equation and a Keller-Segel model of bacterial chemotaxis, we produce an Evans function which is computable through several orders of magnitude in the spectral parameter and show how such a function can naturally be extended into the continuous spectrum. In both examples, we use this function to numerically verify the absence of eigenvalues in a large region of the right half of the spectral plane. We also include a new proof of spectral stability in the appropriate weighted space of travelling waves of speed c≥2√δ in the F-KPP equation." @default.
• W1488541292 created "2016-06-24" @default.
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• W1488541292 date "2015-08-01" @default.
• W1488541292 modified "2023-09-28" @default.
• W1488541292 title "Numerical computation of an Evans function for travelling waves" @default.
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• W1488541292 doi "https://doi.org/10.1016/j.mbs.2015.05.009" @default.
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