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math.AP2021
Well-posedness of a nonlinear shallow water model for an oscillating water column with time-dependent air pressure
Edoardo Bocchi, Jiao He, Gastón Vergara-Hermosilla
We propose in this paper a new nonlinear mathematical model of an oscillating water column (OWC). The one-dimensional shallow water equations in the presence of this device is refo…
math.AP2021★ 5 cited
A paradifferential approach for hyperbolic dynamical systems and applications
Yannick Guedes Bonthonneau, Colin Guillarmou, Thibault de Poyferré
We develop a paradifferential approach for studying non-smooth hyperbolic dynamics and related non-linear PDE from a microlocal point of view. As an application, we describe the mi…