liu.seSearch for publications in DiVA
Change search
ReferencesLink to record
Permanent link

Direct link
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.
National Category
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

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Kozlov, Vladimir
By organisation
The Institute of TechnologyApplied Mathematics
In the same journal
Comptes rendus. Mecanique

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 58 hits
ReferencesLink to record
Permanent link

Direct link