Freely floating objects on a fluid governed by the Boussinesq equations

نویسندگان

چکیده

We investigate here the interactions of waves governed by a Boussinesq system with partially immersed body allowed to move freely in vertical direction. show that whole equations can be reduced transmission problem for conditions given terms displacement object and average horizontal discharge beneath it; these two quantities are turn determined nonlinear ODEs forcing coming from exterior wave-field. Understanding dispersive contribution added mass phenomenon allows us solve equations, new hidden regularity effect is used derive uniform estimates respect parameter. then an abstract general Cummins equation describing motion solid return equilibrium it takes explicit simple form cases, namely, non linear cases; we particular decay rate towards much smaller presence dispersion. The latter situation also involves initial boundary value nonlocal scalar has interest its own which consequently provide analysis.

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ژورنال

عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire

سال: 2022

ISSN: ['0294-1449', '1873-1430']

DOI: https://doi.org/10.4171/aihpc/15