Estimate for a solution to the water wave problem in the presence of a submerged body

Ilia Kamotski, Vladimir Maz'ya

Published 2013-05-10Version 1

We study the two-dimensional problem of propagation of linear water waves in deep water in the presence of a submerged body. Under some geometrical requirements, we derive an explicit bound for the solution depending on the domain and the functions on the right-hand side.