DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Kim, Yong-Jung | - |
dc.contributor.advisor | 김용정 | - |
dc.contributor.author | Jung, Seung-Hoon | - |
dc.contributor.author | 정승훈 | - |
dc.date.accessioned | 2011-12-14T04:55:57Z | - |
dc.date.available | 2011-12-14T04:55:57Z | - |
dc.date.issued | 2007 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=264927&flag=dissertation | - |
dc.identifier.uri | http://hdl.handle.net/10203/42163 | - |
dc.description | 학위논문(석사) - 한국과학기술원 : 응용수학전공, 2007.2, [ iii, 24 p. ] | - |
dc.description.abstract | The $L^{1}$ -convergence order of the porous medium equation $u_{t} = Δ(u^{m})$ to the Barenblatt solution is studied. The optimal convergence order willbe obtained using the potential comparison method for the compactly supported radial symmetric initial data when the space dimension is not equal to two. Also the optimal convergence order for the p-Laplacian equation will be obtained under the same constraint on initial data. Therefore, we can conclude the potential comparison method is sufficiently strong under the constraint on the initial data. | eng |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.subject | Porous medium equation | - |
dc.subject | Large time convergence order | - |
dc.subject | 뉴토니안 퍼텐셜 | - |
dc.subject | 다공성 매질 방정식 | - |
dc.subject | Newtonian potential | - |
dc.title | Asymptotic $L^1$ -convergence order for the porous medium equation via potential and entropy comparison | - |
dc.title.alternative | 퍼텐셜 비교와 엔트로피 비교를 통한 다공성 매질 방정식의 $L^1$ -수렴 정도 | - |
dc.type | Thesis(Master) | - |
dc.identifier.CNRN | 264927/325007 | - |
dc.description.department | 한국과학기술원 : 응용수학전공, | - |
dc.identifier.uid | 020053555 | - |
dc.contributor.localauthor | Kim, Yong-Jung | - |
dc.contributor.localauthor | 김용정 | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.