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math.AP2024
Hyperbolicity of a semi-Lagrangian formulation of the hydrostatic free-surface Euler system
Bernard Di Martino, Chourouk El Hassanieh, Edwige Godlewski +2
By a semi-Lagrangian change of coordinates, the hydrostatic Euler equations describing free-surface sheared flows is rewritten as a system of quasilinear equations, where stability…
math.AP2024
Well-posedness and potential-based formulation for the propagation of hydro-acoustic waves and tsunamis
Juliette Dubois, Sébastien Imperiale, Anne Mangeney +1
We study a linear model for the propagation of hydro-acoustic waves and tsunami in a stratified free-surface ocean. A formulation was previously obtained by linearizing the compres…