sixth order partial differential equation

Scattering theory and cancellation of gravity-flexural waves of floating plates

1 min read · Tue, Jan 28 2020

flexural waves linearized water waves sixth order partial differential equation Circuits thin elastic plates scattering

Mohamed Farhat, et al., "Scattering theory and cancellation of gravity-flexural waves of floating plates." Physical Review B, 101 (1), 2020, 014307. We combine theories of scattering for linearized water waves and flexural waves in thin elastic plates to characterize and achieve control of water wave scattering using floating plates. This requires manipulating a sixth-order partial differential equation with appropriate boundary conditions of the velocity potential. Making use of multipole expansions, we reduce the scattering problem to a linear algebraic system. The response of a floating