Data di Pubblicazione:
2024
Citazione:
A couple of BO equations as a normal form for the interface problem / D. Bambusi, S. Paleari. - In: AIMS MATHEMATICS. - ISSN 2473-6988. - 9:8(2024), pp. 23012-23026. [10.3934/math.20241118]
Abstract:
We consider two fluids in a 2-dimensional region: The lower fluid occupies an infinitely
depth region, while the upper fluid occupies a region with a fixed upper boundary. We study the
dynamics of the interface between the two fluids (interface problem) in the limit in which the interface
has a space periodic profile, is close to horizontal, and has a “long wave profile”. We use a Hamiltonian
normal form approach to show that up to corrections of second order, the equations are approximated
by two decoupled Benjamin-Ono equations.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
water waves; Benjamin-Ono; Hamiltonian partial differential equations; normal form;
Elenco autori:
D. Bambusi, S. Paleari
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