
doi: 10.1007/bf00948809
Calculations are made of the linear eigenvalue problem describing the sloshing of an ideal fluid in particular examples of two-dimensional containers, using a conformal mapping method. Bounds are found for the eigenvalues or sloshing frequencies. The method extends the range of examples beyond those calculated previously.
linear eigenvalue problem, Water waves, gravity waves; dispersion and scattering, nonlinear interaction, eigenvalue bounds, ideal fluid, conformal mapping method, sloshing, General topics in linear spectral theory for PDEs, two- dimensional containers
linear eigenvalue problem, Water waves, gravity waves; dispersion and scattering, nonlinear interaction, eigenvalue bounds, ideal fluid, conformal mapping method, sloshing, General topics in linear spectral theory for PDEs, two- dimensional containers
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