| Title:
|
Variational characterization of eigenvalues of a non-symmetric eigenvalue problem governing elastoacoustic vibrations (English) |
| Author:
|
Stammberger, Markus |
| Author:
|
Voss, Heinrich |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
59 |
| Issue:
|
1 |
| Year:
|
2014 |
| Pages:
|
1-13 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Small amplitude vibrations of an elastic structure completely filled by a fluid are considered. Describing the structure by displacements and the fluid by its pressure field one arrives at a non-selfadjoint eigenvalue problem. Taking advantage of a Rayleigh functional we prove that its eigenvalues can be characterized by variational principles of Rayleigh, minmax and maxmin type. (English) |
| Keyword:
|
eigenvalue problem |
| Keyword:
|
fluid-solid vibration |
| Keyword:
|
variational characterization |
| Keyword:
|
minmax principle |
| Keyword:
|
maxmin principle |
| MSC:
|
35P05 |
| MSC:
|
35Q35 |
| MSC:
|
47A75 |
| MSC:
|
49R05 |
| MSC:
|
65N25 |
| MSC:
|
74F10 |
| MSC:
|
74H45 |
| MSC:
|
76Q05 |
| idZBL:
|
Zbl 06346368 |
| idMR:
|
MR3164572 |
| DOI:
|
10.1007/s10492-014-0037-7 |
| . |
| Date available:
|
2014-01-28T13:51:23Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143592 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| . |
