| Title:
|
On a system of nonlinear wave equations with the Kirchhoff-Carrier and Balakrishnan-Taylor terms (English) |
| Author:
|
Nam, Bui Duc |
| Author:
|
Nhan, Nguyen Huu |
| Author:
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Ngoc, Le Thi Phuong |
| Author:
|
Long, Nguyen Thanh |
| Language:
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English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
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0862-7959 (print) |
| ISSN:
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2464-7136 (online) |
| Volume:
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147 |
| Issue:
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2 |
| Year:
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2022 |
| Pages:
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237-270 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study a system of nonlinear wave equations of the Kirchhoff-Carrier type containing a variant of the Balakrishnan-Taylor damping in nonlinear terms. By the linearization method together with the Faedo-Galerkin method, we prove the local existence and uniqueness of a weak solution. On the other hand, by constructing a suitable Lyapunov functional, a sufficient condition is also established to obtain the exponential decay of weak solutions. (English) |
| Keyword:
|
system of nonlinear wave equations of Kirchhoff-Carrier type |
| Keyword:
|
Balakrishnan-Taylor term |
| Keyword:
|
Faedo-Galerkin method |
| Keyword:
|
local existence |
| Keyword:
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exponential decay |
| MSC:
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35L20 |
| MSC:
|
35L70 |
| MSC:
|
35Q74 |
| MSC:
|
37B25 |
| idZBL:
|
Zbl 07547253 |
| idMR:
|
MR4407355 |
| DOI:
|
10.21136/MB.2021.0094-20 |
| . |
| Date available:
|
2022-04-14T13:44:09Z |
| Last updated:
|
2022-09-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/150331 |
| . |
| Reference:
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