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Article Dans Une Revue Nonlinearity Année : 2023

Spectral instability of small-amplitude periodic waves of the electronic Euler-Poisson system

Résumé

The present work shows that essentially all small-amplitude periodic traveling waves of the electronic Euler-Poisson system are spectrally unstable. This instability is neither modulational nor co-periodic, and thus requires an unusual spectral analysis. The growth rate with respect to the amplitude of the background waves is also provided when the instability occurs. We expect that the corresponding newly devised arguments could have a broad scope of application.

Dates et versions

hal-03912010 , version 1 (23-12-2022)

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Citer

Pascal Noble, Luis Miguel Rodrigues, Changzhen Sun. Spectral instability of small-amplitude periodic waves of the electronic Euler-Poisson system. Nonlinearity, 2023, 36 (9), pp.4615-4640. ⟨10.1088/1361-6544/ace604⟩. ⟨hal-03912010⟩
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