7 papers
Convective-wave solutions of the Richard-Gavrilyuk model for inclined shallow water flow
L. Miguel Rodrigues, Zhao Yang, Kevin Zumbrun
We study for the Richard-Gavrilyuk model of inclined shallow water flow, an extension of the classical Saint Venant equations incorporating vorticity, the new feature of convective…
An alternative proof of modulation instability of Stokes waves in deep water
Zhao Yang
We generalize the periodic Evans function approach recently used to study the spectral stability of Stokes wave and gravity-capillary (including Wilton ripples) in water of finite…
Stability of strong detonation waves for Majda's model with general ignition functions
Soyeun Jung, Zhao Yang, Kevin Zumbrun
For strong detonation waves of the inviscid Majda model, spectral stability was established by Jung and Yao for waves with step-type ignition functions, by a proof based largely on…
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…