Mathematical models for wave propagation phenomena generated by landslides 

Abstract: The application context of this work is the early detection of tsunamis generated by seafloor movements. These movements produce several types of waves: seismic waves in the ground, and gravity and acoustic waves in the ocean. Mathematically, the observed phenomena are governed by the prestressed nonlinear Euler equations in the fluid and the prestressed nonlinear elastodynamics equations in the solids. In these nonlinear equations, gravity effects are not neglected.
The objective of this work is to derive—through linearization—a hierarchy of linear equations that describe the propagation of these three types of waves in various asymptotic limits or for different types of fluids (e.g., purely acoustic or purely incompressible regimes, neglecting gravity effects in the solid, or barotropic fluids). Particular attention is given to the linearization of the transmission conditions used between the solid and fluid domains.
We discuss the well-posedness of the resulting linear wave propagation problems and briefly present a space-time discretization of some of these transient problems. This discretization employs high-order spectral finite elements in space, a leap-frog scheme in time.

‼️ Le séminaire peut être suivi en ligne via le lien : https://univ-amu-fr.zoom.us/j/95011527683?pwd=bTeNvaaZY75buaa7bRL0pcucXSASm7.1

Le mardi 29 septembre 2026 à 11h00 / Amphithéâtre François Canac, LMA

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