25 citations · 60 across the 11 of their papers we have counts for
4 papers · 1 filter
Spectral stability of hydraulic shock profiles
Alim Sukhtayev, Zhao Yang, Kevin Zumbrun
By reduction to a generalized Sturm Liouville problem, we establish spectral stability of hydraulic shock profiles of the Saint-Venant equations for inclined shallow-water flow, ov…
Stability of hydraulic shock profiles
Zhao Yang, Kevin Zumbrun
We establish nonlinear stability with sharp rates of decay in , , of general hydraulic shock profiles, with or without subshocks, of the invisci…
Spectral Stability of Inviscid Roll Waves
Mathew A. Johnson, Pascal Noble, L. Miguel Rodrigues +2
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 Evan…
Convergence as period goes to infinity of spectra of periodic traveling waves toward essential spectra of a homoclinic limit
Zhao Yang, Kevin Zumbrun
We revisit the analysis by R.A. Gardner of convergence of spectra of periodic traveling waves in the homoclinic, or infinite-period limit, extending his results to the case of esse…