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Analytical and Numerical Aspects of Fluid Interfaces

In: Proceedings of the International Congress of Mathematicians

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  • J. Thomas Beale

    (Duke University, Mathematics Department)

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.

Suggested Citation

  • J. Thomas Beale, 1995. "Analytical and Numerical Aspects of Fluid Interfaces," Springer Books, in: S. D. Chatterji (ed.), Proceedings of the International Congress of Mathematicians, pages 1055-1064, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-9078-6_98
    DOI: 10.1007/978-3-0348-9078-6_98
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