| Title:
|
Instability of the stationary solutions of generalized dissipative Boussinesq equation (English) |
| Author:
|
Esfahani, Amin |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
59 |
| Issue:
|
3 |
| Year:
|
2014 |
| Pages:
|
345-358 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this work we study the generalized Boussinesq equation with a dissipation term. We show that, under suitable conditions, a global solution for the initial value problem exists. In addition, we derive sufficient conditions for the blow-up of the solution to the problem. Furthermore, the instability of the stationary solutions of this equation is established. (English) |
| Keyword:
|
damped Boussinesq equation |
| Keyword:
|
stationary solution |
| Keyword:
|
instability |
| MSC:
|
35B35 |
| MSC:
|
35Q35 |
| MSC:
|
35Q53 |
| MSC:
|
76B15 |
| idZBL:
|
Zbl 06362231 |
| idMR:
|
MR3232635 |
| DOI:
|
10.1007/s10492-014-0059-1 |
| . |
| Date available:
|
2014-05-20T07:42:55Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143777 |
| . |
| Reference:
|
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