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math.AP2015★ 1 cited
Periodic-coefficient damping estimates, and stability of large-amplitude roll waves in inclined thin film flow
Luis Miguel Rodrigues, Kevin Zumbrun
A technical obstruction preventing the conclusion of nonlinear stability of large-Froude number roll waves of the St. Venant equations for inclined thin film flow is the "slope con…
math.AP2015★ 18 cited
Stability of viscous St. Venant roll-waves: from onset to infinite-Froude number limit
Blake Barker, Mathew A. Johnson, Pascal Noble +2
We study the spectral stability of roll-wave solutions of the viscous St. Venant equations modeling inclined shallow-water flow, both at onset in the small-Froude number or "weakly…