Vol. 47, No. 2, 1973

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Vol. 299: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Editorial Board
Subscriptions
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Author Index
To Appear
 
Other MSP Journals
Sloshing frequencies in a half-space by Kelvin inversion

B. Andreas Troesch

Vol. 47 (1973), No. 2, 539–552
Abstract

The frequencies of the free oscillations of an incompressible and inviscid fluid in a half-space with circular and strip-like aperture are determined by first mapping the half-space into a bounded domain by the Kelvin inversion. Upper bounds for the eigenfrequencies are then obtained by a Rayleigh-Ritz procedure. The results compare quite well with previous results, which were obtained by less elementary tools.

Mathematical Subject Classification
Primary: 76.49
Milestones
Received: 25 May 1972
Published: 1 August 1973
Authors
B. Andreas Troesch