Accession Number : ADA118597

Title :   Nonlinear Gravity-Capillary Standing Waves in Water of Arbitrary Uniform Depth.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Vanden-Broeck,Jean-Marc

PDF Url : ADA118597

Report Date : Jun 1982

Pagination or Media Count : 15

Abstract : Gravity-capillary standing waves in water of arbitrary uniform depth are considered. The classical perturbation calculation yields unbounded coefficients for some critical values of the depth. A perturbation solution valid at the first critical value of the depth is derived. It is found that two solutions exist at this critical value. Numerical computations indicate that these solutions are members of two different families of solutions. Graphs of the results are included. (Author)

Descriptors :   *Perturbation theory, Capillary waves, Standing waves, Gravity waves, Nonlinear differential equations, Perturbations

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE