Local solvability and blow-up for Benjamin-Bona-Mahony-Burgers, Rosenau-Burgers and Korteweg-de Vries-Benjamin-Bona-Mahony equations
In this article some well-known problems in mathematical physics for Benjamin-Bona-Mahony-Burgers, Rosenau-Burgers and Korteweg-de Vries-Benjamin-Bona-Mahony equations are considered. These equations describe important processes in different fields of physics, particulary in hydro- and electrody...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2014-03-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/69/abstr.html |
| _version_ | 1818539493934759936 |
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| author | Maxim O. Korpusov Egor V. Yushkov |
| author_facet | Maxim O. Korpusov Egor V. Yushkov |
| author_sort | Maxim O. Korpusov |
| collection | DOAJ |
| description | In this article some well-known problems in mathematical physics for
Benjamin-Bona-Mahony-Burgers, Rosenau-Burgers and
Korteweg-de Vries-Benjamin-Bona-Mahony equations are considered.
These equations describe important processes in different fields of physics,
particulary in hydro- and electrodynamics. We study initial-boundary problems
with natural physical boundary conditions. Sufficient conditions of local
solvability and blow-up in finite time are obtained. For this the methods
of contraction mapping and nonlinear capacity, developed by Galaktionov,
Pokhozhaev and Mitidieri, are used. |
| first_indexed | 2024-12-11T21:42:46Z |
| format | Article |
| id | doaj.art-f5d078fbf1e34ea78795446dcce877f1 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-11T21:42:46Z |
| publishDate | 2014-03-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-f5d078fbf1e34ea78795446dcce877f12022-12-22T00:49:46ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912014-03-01201469,116Local solvability and blow-up for Benjamin-Bona-Mahony-Burgers, Rosenau-Burgers and Korteweg-de Vries-Benjamin-Bona-Mahony equationsMaxim O. Korpusov0Egor V. Yushkov1 Lomonosov Moscow State Univ., Moscow, Russia Lomonosov Moscow State Univ., Moscow, Russia In this article some well-known problems in mathematical physics for Benjamin-Bona-Mahony-Burgers, Rosenau-Burgers and Korteweg-de Vries-Benjamin-Bona-Mahony equations are considered. These equations describe important processes in different fields of physics, particulary in hydro- and electrodynamics. We study initial-boundary problems with natural physical boundary conditions. Sufficient conditions of local solvability and blow-up in finite time are obtained. For this the methods of contraction mapping and nonlinear capacity, developed by Galaktionov, Pokhozhaev and Mitidieri, are used.http://ejde.math.txstate.edu/Volumes/2014/69/abstr.htmlLocal solvabilityblow-upBenjamin-Bona-Mahony-BurgersRosenau-BurgersKorteweg-de Vries-Benjamin-Bona-Mahony |
| spellingShingle | Maxim O. Korpusov Egor V. Yushkov Local solvability and blow-up for Benjamin-Bona-Mahony-Burgers, Rosenau-Burgers and Korteweg-de Vries-Benjamin-Bona-Mahony equations Electronic Journal of Differential Equations Local solvability blow-up Benjamin-Bona-Mahony-Burgers Rosenau-Burgers Korteweg-de Vries-Benjamin-Bona-Mahony |
| title | Local solvability and blow-up for Benjamin-Bona-Mahony-Burgers, Rosenau-Burgers and Korteweg-de Vries-Benjamin-Bona-Mahony equations |
| title_full | Local solvability and blow-up for Benjamin-Bona-Mahony-Burgers, Rosenau-Burgers and Korteweg-de Vries-Benjamin-Bona-Mahony equations |
| title_fullStr | Local solvability and blow-up for Benjamin-Bona-Mahony-Burgers, Rosenau-Burgers and Korteweg-de Vries-Benjamin-Bona-Mahony equations |
| title_full_unstemmed | Local solvability and blow-up for Benjamin-Bona-Mahony-Burgers, Rosenau-Burgers and Korteweg-de Vries-Benjamin-Bona-Mahony equations |
| title_short | Local solvability and blow-up for Benjamin-Bona-Mahony-Burgers, Rosenau-Burgers and Korteweg-de Vries-Benjamin-Bona-Mahony equations |
| title_sort | local solvability and blow up for benjamin bona mahony burgers rosenau burgers and korteweg de vries benjamin bona mahony equations |
| topic | Local solvability blow-up Benjamin-Bona-Mahony-Burgers Rosenau-Burgers Korteweg-de Vries-Benjamin-Bona-Mahony |
| url | http://ejde.math.txstate.edu/Volumes/2014/69/abstr.html |
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