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math.AP2022
Well-posedness and stability analysis of a landscape evolution model
Julie Binard, Pierre Degond, Pascal Noble
In this paper, we consider a system of partial differential equations modeling the evolution of a landscape. A ground surface is eroded by the flow of water over it, either by sedi…
math.AP2022★ 7 cited
Spectral instability of small-amplitude periodic waves of the electronic Euler-Poisson system
Pascal Noble, Luis Miguel Rodrigues, Changzhen Sun
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 mod…