Long-time asymptotics for the damped Boussinesq equation in a disk
For the damped Boussinesq equation the first initial-boundary value problem is considered in a unit disk. Its strong solution is constructed in the form of a series in the small parameter present in the initial conditions. The global-in-time solvability follows from the construction. The first-order...
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Texas State University
2000-10-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/conf-proc/05/v1/abstr.html |
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doaj-812781720d3c4d5aaa6523ae6ba618022020-11-24T21:23:07ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912000-10-01Conference05285298Long-time asymptotics for the damped Boussinesq equation in a diskVladimir VarlamovFor the damped Boussinesq equation the first initial-boundary value problem is considered in a unit disk. Its strong solution is constructed in the form of a series in the small parameter present in the initial conditions. The global-in-time solvability follows from the construction. The first-order long-time asymptotics is calculated with the uniform in space estimate of the remainder. http://ejde.math.txstate.edu/conf-proc/05/v1/abstr.htmldamped Boussinesq equationboundary-value problemlong-time asymptotics. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Vladimir Varlamov |
| spellingShingle |
Vladimir Varlamov Long-time asymptotics for the damped Boussinesq equation in a disk Electronic Journal of Differential Equations damped Boussinesq equation boundary-value problem long-time asymptotics. |
| author_facet |
Vladimir Varlamov |
| author_sort |
Vladimir Varlamov |
| title |
Long-time asymptotics for the damped Boussinesq equation in a disk |
| title_short |
Long-time asymptotics for the damped Boussinesq equation in a disk |
| title_full |
Long-time asymptotics for the damped Boussinesq equation in a disk |
| title_fullStr |
Long-time asymptotics for the damped Boussinesq equation in a disk |
| title_full_unstemmed |
Long-time asymptotics for the damped Boussinesq equation in a disk |
| title_sort |
long-time asymptotics for the damped boussinesq equation in a disk |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2000-10-01 |
| description |
For the damped Boussinesq equation the first initial-boundary value problem is considered in a unit disk. Its strong solution is constructed in the form of a series in the small parameter present in the initial conditions. The global-in-time solvability follows from the construction. The first-order long-time asymptotics is calculated with the uniform in space estimate of the remainder. |
| topic |
damped Boussinesq equation boundary-value problem long-time asymptotics. |
| url |
http://ejde.math.txstate.edu/conf-proc/05/v1/abstr.html |
| work_keys_str_mv |
AT vladimirvarlamov longtimeasymptoticsforthedampedboussinesqequationinadisk |
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