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Circles in Circles: Creating a Mathematical Model of Surface Water Waves
by Katherine Socha (S.t Mary’s College of Maryland)This article originally appeared in:
American Mathematical Monthly
Subject classification(s): Mathematical Physics | Applied Mathematics
Applicable Course(s): 4.18 Applied Math (Math Modeling) | 4.12 Advanced Math for Engineering & Physics
This article is part of the Mathematics of Planet Earth 2013 Collection. This paper presents an exposition of a classical development of a model for circular ocean waves with larger wavelengths traveling faster than those of shorter wavelength. The mathematical background for reading this paper includes third semester calculus through divergence and curl and notions of partial differential equations and their boundary conditions.
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