Abstract
The eigenfrequencies of the oscillations of an ideal liquid in a symmetric, shallow canal are investigated. The shape of the cross section is determined, for which thenth eigenfrequency becomes as large as possible, when the width and the wetted are length of the canal cross section are prescribed. This variational problem leads to a nonlinear eigenvalue problem for two functions. The problem is solved numerically, and, in addition, upper and lower bounds for the maximal eigenvalues are reported.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Zeitschrift für angewandte Mathematik und Physik ZAMP
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
