1 citations · 1 across the 5 of their papers we have counts for
10 papers · 1 filter
Orbital stability of undercompressive viscous shock waves under perturbation
Zhao Yang, Kevin Zumbrun
By the use of a new vertical estimate introduced by the authors in the context of relaxation shocks for shallow water flow, we both simplify and extend the basic stab…
Multidimensional stability and transverse bifurcation of hydraulic shocks and roll waves in open channel flow
Zhao Yang, Kevin Zumbrun
We study by a combination of analytical and numerical methods multidimensional stability and transverse bifurcation of planar hydraulic shock and roll wave solutions of the invisci…
Existence and stability of nonmonotone hydraulic shocks for the Saint Venant equations of inclined thin-film flow
Grégory Faye, L. Miguel Rodrigues, Zhao Yang +1
Extending work of Yang-Zumbrun for the hydrodynamically stable case of Froude number F < 2, we categorize completely the existence and convective stability of hydraulic shock profi…
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…