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The one‐dimensional shallow water equations with transparent boundary conditions
Author(s) -
Petcu Madalina,
Temam Roger
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1482
Subject(s) - mathematics , shallow water equations , waves and shallow water , boundary value problem , boundary (topology) , interval (graph theory) , mathematical analysis , physics , thermodynamics , combinatorics
In this article, we address the question of the local in time well‐posedness of the one‐dimensional shallow water on an interval, these equations being supplemented with suitable boundary conditions. The flows considered are subcritical and the height never vanishes. Copyright © 2011 John Wiley & Sons, Ltd.