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math.AP2025
The F. John model and Cummins' equations for freely floating objects
David Lannes, Martin Oen Paulsen
In this paper, we address the well-posedness theory of F. John's problem for freely floating objects in a two-dimensional framework. This problem is a linear description of the int…
math.AP2024
Justification of the Benjamin-Ono equation as an internal water waves model
Martin Oen Paulsen
In this paper, we give the first rigorous justification of the Benjamin-Ono equation as an internal water wave model on the physical time scale. Let be the small para…