DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Kwon, Kil-Hyun | - |
dc.contributor.advisor | 권길현 | - |
dc.contributor.author | Yoo, Sun-Hee | - |
dc.contributor.author | 유선희 | - |
dc.date.accessioned | 2011-12-14T04:58:27Z | - |
dc.date.available | 2011-12-14T04:58:27Z | - |
dc.date.issued | 1989 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=66609&flag=dissertation | - |
dc.identifier.uri | http://hdl.handle.net/10203/42324 | - |
dc.description | 학위논문(석사) - 한국과학기술원 : 응용수학과, 1989.2, [ [ii], 33 p. ] | - |
dc.description.abstract | Physically, the solution of the quasi-linear equation $\{u_t+f(u)_x=0$, x∈R, t>0 $u(x,0)=u_0(x)$, x∈R$, has discontinuities after a finite time. We find the maximum time T for which its solution is smooth in R x (0,T) when the initial data are smooth and then show that the solution must have discontinuities after the time T. Next we compute, by using a numerical scheme, the development of its discontinuities. Moreover, we show the uniqueness of its generalized solution when the flux f depends not only on u but on x and t. | eng |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.title | Development of singularities for a single quasi-linear equation and uniqueness of its generalized solutions | - |
dc.title.alternative | 준 선형 미분 방정식의 해에 대한 특이점의 전개와 초 함수 해의 유일성 | - |
dc.type | Thesis(Master) | - |
dc.identifier.CNRN | 66609/325007 | - |
dc.description.department | 한국과학기술원 : 응용수학과, | - |
dc.identifier.uid | 000871260 | - |
dc.contributor.localauthor | Kwon, Kil-Hyun | - |
dc.contributor.localauthor | 권길현 | - |
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