Surface water waves against a vertical wall in the presence of an ice-cover

Document Type

Conference Proceeding

Publication Date

12-1-2000

Abstract

A class of boundary value problems involving propagation of two-dimensional surface water waves, associated with deep water, against a rigid vertical wall is investigated under the assumption that the surface is covered by a thin sheet of ice. Assuming that the ice-cover behaves like a thin isotropic elastic plate, the problems under consideration lead to those of solving the two-dimensional Laplace equation in a quarter-plane, under a Neumann boundary condition on the vertical boundary and a condition involving upto fifth-order derivatives of the unknown function on the horizontal ice-covered boundary, along with two appropriate edge-conditions, ensuring uniqueness of the solutions. The mixed boundary-value problems are solved completely by determining the unique solution of a special type of integral equation of the first kind.

Identifier

2942521750 (Scopus)

Publication Title

Advances in Fluid Mechanics

ISSN

1353808X

First Page

605

Last Page

615

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