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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…
math.AP2023
Spreading properties in Kermack-McKendrick models with nonlocal spatial interactions -- A new look
Grégory Faye, Jean-Michel Roquejoffre, Mingmin Zhang
In this paper, we revisit the famous Kermack-McKendrick model with nonlocal spatial interactions by shedding new lights on associated spreading properties and we also prove the exi…