Spectral Stability of Inviscid Roll Waves

We carry out a systematic analytical and numerical study of spectral stability of discontinuous roll wave solutions of the inviscid Saint-Venant equations, based on a periodic Evans–Lopatinsky determinant analogous to the periodic Evans function of Gardner in the (smooth) viscous case, obtaining a c...

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Veröffentlicht in:	Communications in mathematical physics 2019-04, Vol.367 (1), p.265-316
Hauptverfasser:	Johnson, Mathew A., Noble, Pascal, Rodrigues, L. Miguel, Yang, Zhao, Zumbrun, Kevin
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis of PDEs Classical and Quantum Gravitation Complex Systems Fluid mechanics Frequency stability Hydraulic engineering Mathematical and Computational Physics Mathematical Physics Mathematics Mechanics Physics Physics and Astronomy Quantum Physics Relativity Theory Spectra Spectral Theory Stability analysis Theoretical Water waves
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