Title

Initial Boundary-Value Problems for a Pair of Conservation Laws

Document Type

Article

Department

Mathematics (HMC)

Publication Date

6-10-2002

Abstract

We describe a multiple-scale technique for solving the initial boundary-value problem over the positive x-axis for a one-dimensional pair of hyperbolic conservation laws. This technique involves decomposing the solution into waves and incorporating slow temporal and stretched spatial scales in different parts of the solution domain. We apply these ideas to a wavemaker problem for shallow water flow and show why the presence of source terms in the conservation laws makes the analytic solution more complicated.

Rights Information

© 2002 Wiley-Blackwell

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.