The ice‐fishing problem: the fundamental sloshing frequency versus geometry of holes

• Published in: Mathematical Methods in the Applied Sciences
• Main Authors: Kozlov, Vladimir, Kuznetsov, Nikolay
• Other Authors: Swedish Research Council, Wenner-Gren foundation, Russian foundation
• Format: Article in Journal/Newspaper
• Language: English
• Published: Wiley 2004
• Subjects: Laplace; Ice Sheet
• Online Access: http://dx.doi.org/10.1002/mma.442; https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Fmma.442; https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.442

Abstract We study an eignevalue problem with a spectral parameter in a boundary condition. This problem for the Laplace equation is relevant to sloshing frequencies that describe free oscillations of an inviscid, incompressible, heavy fluid in a half‐space covered by a rigid dock with some apertures...