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DC Field | Value | Language |
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dc.contributor.advisor | Pelinovsky, Dmitry | - |
dc.contributor.author | Li, Jin | - |
dc.date.accessioned | 2017-06-21T16:10:53Z | - |
dc.date.available | 2017-06-21T16:10:53Z | - |
dc.date.issued | 2017 | - |
dc.identifier.uri | http://hdl.handle.net/11375/21621 | - |
dc.description.abstract | This thesis is devoted to the proof of linear stability of the one-dimensional periodic waves in the Kadomtsev-Petviashvili (KP-II) equation with respect to two-dimensional bounded perturbations. The method of the proof is based on the construction of a self-adjoint operator K such that the operators JL and JK commute, expresses a symplectic structure for the KP-II equation and L is a self-adjoint Hessian operator of the energy function at the periodic wave. In the situation when K is strictly positive except for a nite-dimensional kernel included in the kernel of L, the operator JL has no unstable eigenvalues and the associated time evolution is globally bounded. | en_US |
dc.language.iso | en | en_US |
dc.subject | Mathematics | en_US |
dc.subject | Applied Mathematics | en_US |
dc.title | On transverse stability of periodic waves in the Kadomtsev-Petviashvili equation | en_US |
dc.type | Thesis | en_US |
dc.contributor.department | Mathematics and Statistics | en_US |
dc.description.degreetype | Thesis | en_US |
dc.description.degree | Master of Science (MSc) | en_US |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Description | Size | Format | |
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Li_Jin_201705_MSc.pdf | 366.27 kB | Adobe PDF | View/Open |
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