DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Kwon, Soon-Sik | - |
dc.contributor.advisor | 권순식 | - |
dc.contributor.author | Hong, Sung-Hyun | - |
dc.contributor.author | 홍성현 | - |
dc.date.accessioned | 2013-09-12T02:32:43Z | - |
dc.date.available | 2013-09-12T02:32:43Z | - |
dc.date.issued | 2013 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=515078&flag=dissertation | - |
dc.identifier.uri | http://hdl.handle.net/10203/181565 | - |
dc.description | 학위논문(석사) - 한국과학기술원 : 수리과학과, 2013.2, [ ii, 36 p. ] | - |
dc.description.abstract | We prove the exponential stability (namely, Nekhoroshev type theorem) of Korteweg-de-Vries (KdV) type equation with potential term, $$u_t = \partial_x \left(- \partial _{xx} u + V * u + g\left(u\right)\right), \qquad \left(t,x\right) \in \mathbb{R} \times S^1,$$ where $V$ is a smooth convolution potential and $g\left(u\right)$ is certain polynomial of $u$. We can show the periodic KdV equation as an infinite dimensional nearly integrable Hamiltonian. Hence, this result is obtained by the Birkhoff normal form in infinite dimension. | eng |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.subject | KdV equation | - |
dc.subject | Nekhoroshev theorem | - |
dc.subject | Birkhoff normal form | - |
dc.subject | KdV 방정식 | - |
dc.subject | Nekhoroshev 정리 | - |
dc.subject | Birkhoff normal form | - |
dc.subject | 해밀토니안 방정식 | - |
dc.subject | Hamiltonian PDEs | - |
dc.title | Nekhoroshev type theorem of KdV type equation | - |
dc.title.alternative | KdV type 방정식의 Nekhoroshev type 정리 | - |
dc.type | Thesis(Master) | - |
dc.identifier.CNRN | 515078/325007 | - |
dc.description.department | 한국과학기술원 : 수리과학과, | - |
dc.identifier.uid | 020113680 | - |
dc.contributor.localauthor | Kwon, Soon-Sik | - |
dc.contributor.localauthor | 권순식 | - |
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