| Title:
|
On an elasto-dynamic evolution equation with non dead load and friction (English) |
| Author:
|
Chau, Oanh |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
51 |
| Issue:
|
3 |
| Year:
|
2006 |
| Pages:
|
229-246 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we are interested in the dynamic evolution of an elastic body, acted by resistance forces depending also on the displacements. We put the mechanical problem into an abstract functional framework, involving a second order nonlinear evolution equation with initial conditions. After specifying convenient hypotheses on the data, we prove an existence and uniqueness result. The proof is based on Faedo-Galerkin method. (English) |
| Keyword:
|
evolution equation |
| Keyword:
|
existence and uniqueness |
| Keyword:
|
Faedo-Galerkin method |
| Keyword:
|
friction |
| Keyword:
|
elasticity |
| Keyword:
|
dynamic process |
| MSC:
|
34G20 |
| MSC:
|
34K07 |
| MSC:
|
34K10 |
| MSC:
|
47H05 |
| MSC:
|
74B20 |
| MSC:
|
74H20 |
| MSC:
|
74H25 |
| MSC:
|
74M10 |
| MSC:
|
74M15 |
| idZBL:
|
Zbl 1164.34460 |
| idMR:
|
MR2228664 |
| DOI:
|
10.1007/s10492-006-0013-y |
| . |
| Date available:
|
2009-09-22T18:25:45Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134638 |
| . |
| Reference:
|
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| Reference:
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| . |
