# Template:Linear elastic plate on water time domain

From WikiWaves

Revision as of 01:18, 3 July 2009 by Mike smith (talk | contribs)

We begin with the linear equations for a fluid. The kinematic condition is the same

but the dynamic condition needs to be modified to include the effect of the the plate

We also have Laplace's equation

and the usual non-flow condition at the bottom surface

where [math]\displaystyle{ \zeta }[/math] is the surface displacement, [math]\displaystyle{ \Phi }[/math] is the velocity potential, and [math]\displaystyle{ \rho }[/math] is the fluid density.