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On the fundamental sloshing frequency in the ice-fishing problem
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
2002 (English)In: Comptes rendus. Mecanique, ISSN 1631-0721, Vol. 330, no 11, 723-728 p.Article in journal (Refereed) Published
Abstract [en]

The sloshing problem is considered in a half-space covered by a rigid dock with apertures. The dependence of the fundamental sloshing frequency on the shape of the free surface region is studied. It is proved that the inequality holds between the fundamental eigenvalues corresponding to two different regions if some conditions are fulfilled. These conditions are verified for particular classes of regions of a fixed area in order to demonstrate that the disk yields the maximum of the fundamental eigenvalue for each of these classes. On the other hand, examples of regions are constructed for which the fundamental eigenfrequency is larger than that for the circular aperture of the same area and even as large as one wishes.

Place, publisher, year, edition, pages
2002. Vol. 330, no 11, 723-728 p.
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URN: urn:nbn:se:liu:diva-22398DOI: 10.1016/S1631-0721(02)01530-9Local ID: 1609OAI: diva2:242711
Available from: 2009-10-07 Created: 2009-10-07 Last updated: 2011-01-13

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Kozlov, Vladimir
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The Institute of TechnologyApplied Mathematics
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