Analytical and Numerical Aspects of Fluid Interfaces

J. Thomas Beale
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J. Thomas Beale: Duke University, Mathematics Department

A chapter in Proceedings of the International Congress of Mathematicians, 1995, pp 1055-1064 from Springer

Abstract: Abstract Water waves are familiar in everyday experience and illustrate the rich variety of phenomena observed in wave motion. The exact equations are difficult to deal with directly because of the free boundary and the inherent nonlinearity. However, approximate treatments, especially linear theory and shallow water theory, as well as numerical computations, have led to the understanding of many important aspects. We concentrate here on qualitative properties of the equations of motion, linearized about an arbitrary solution, and the design of convergent numerical methods of a special type, called boundary integral methods.

Date: 1995
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DOI: 10.1007/978-3-0348-9078-6_98

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