Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



A free boundary problem arising in a kinematic wave model of channel flow with infiltration

Author: B. Sherman
Journal: Quart. Appl. Math. 39 (1981), 87-96
MSC: Primary 76S05
DOI: https://doi.org/10.1090/qam/613953
MathSciNet review: 613953
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Abstract: Water flowing down a dry channel and infiltrating into the channel bed constitutes a free boundary problem. The free boundary is the time history of the water edge or front. In this paper we discuss a kinematic wave model of the problem. The problem is formulated in Sec. 1 and the results summarized in Sec. 2. In Secs. 3 and 4 the mathematical details are carried out, and in Sec. 5 a model using the continuity and momentum equations of hydraulics is discussed.

References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/qam/613953
Article copyright: © Copyright 1981 American Mathematical Society

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