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math.AP2023★ 1 cited
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…
math.AP2023
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…