Self-Similar Blow-Up Solutions of the KPZ Equation
Self-similar blow-up solutions for the generalized deterministic KPZ equation ut=uxx+|ux|q with q>2 are considered. The asymptotic behavior of self-similar solutions is studied.
| Päätekijä: | |
|---|---|
| Aineistotyyppi: | Artikkeli |
| Kieli: | English |
| Julkaistu: |
Hindawi Limited
2015-01-01
|
| Sarja: | International Journal of Differential Equations |
| Linkit: | http://dx.doi.org/10.1155/2015/572841 |
| _version_ | 1827079445007040512 |
|---|---|
| author | Alexander Gladkov |
| author_facet | Alexander Gladkov |
| author_sort | Alexander Gladkov |
| collection | DOAJ |
| description | Self-similar blow-up solutions for the generalized deterministic KPZ equation ut=uxx+|ux|q with q>2 are considered. The asymptotic behavior of self-similar solutions is studied. |
| first_indexed | 2025-03-20T02:45:40Z |
| format | Article |
| id | doaj.art-a9f8cbb7b7d145b2aabfe5a1bfb4ee41 |
| institution | Directory Open Access Journal |
| issn | 1687-9643 1687-9651 |
| language | English |
| last_indexed | 2025-03-20T02:45:40Z |
| publishDate | 2015-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj.art-a9f8cbb7b7d145b2aabfe5a1bfb4ee412024-10-03T07:39:27ZengHindawi LimitedInternational Journal of Differential Equations1687-96431687-96512015-01-01201510.1155/2015/572841572841Self-Similar Blow-Up Solutions of the KPZ EquationAlexander Gladkov0Department of Mathematics and Mechanics, Belarusian State University, Nezavisimosti Avenue 4, 220030 Minsk, BelarusSelf-similar blow-up solutions for the generalized deterministic KPZ equation ut=uxx+|ux|q with q>2 are considered. The asymptotic behavior of self-similar solutions is studied.http://dx.doi.org/10.1155/2015/572841 |
| spellingShingle | Alexander Gladkov Self-Similar Blow-Up Solutions of the KPZ Equation International Journal of Differential Equations |
| title | Self-Similar Blow-Up Solutions of the KPZ Equation |
| title_full | Self-Similar Blow-Up Solutions of the KPZ Equation |
| title_fullStr | Self-Similar Blow-Up Solutions of the KPZ Equation |
| title_full_unstemmed | Self-Similar Blow-Up Solutions of the KPZ Equation |
| title_short | Self-Similar Blow-Up Solutions of the KPZ Equation |
| title_sort | self similar blow up solutions of the kpz equation |
| url | http://dx.doi.org/10.1155/2015/572841 |
| work_keys_str_mv | AT alexandergladkov selfsimilarblowupsolutionsofthekpzequation |