擬線性拋物型方程之非線性邊界值問題的自我相似解

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dc.contributor郭忠勝zh_TW
dc.contributorJong-Sheng Guoen_US
dc.contributor.author簡妟伃zh_TW
dc.contributor.authorYen-Yu Chienen_US
dc.date.accessioned2019-09-05T01:11:42Z
dc.date.available2006-5-23
dc.date.available2019-09-05T01:11:42Z
dc.date.issued2006
dc.description.abstract這篇論文主要是研究擬線性拋物型方程之非線性邊界值問題的自我相似解。首先，我們證明了解的消失性。然後，藉研究所對應之常微分方程的初值問題，我們利用投射法證明了單調遞減全域解的存在。最後，我們分析任一單調遞減全域解的漸近行為。zh_TW
dc.description.abstractIn this paper, we study the self-similar solutions for a quasilinear parabolic equation with nonlinear boundary condition. We first prove that quenching always occurs. Then, by considering the initial value problem, we prove the existence of globally monotone decreasing solutions by a shooting method. Finally, we study the asymptotic behavior of any globally monotone decreasing solution.en_US
dc.description.sponsorship數學系zh_TW
dc.identifierGN0692400145
dc.identifier.urihttp://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22GN0692400145%22.&%22.id.&
dc.identifier.urihttp://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101716
dc.language英文
dc.subject擬線性拋物型方程zh_TW
dc.subject自我相似解zh_TW
dc.subject消失性zh_TW
dc.subject投射法zh_TW
dc.subject漸近行為zh_TW
dc.subjectquasilinear parabolic equationen_US
dc.subjectself-similar solutionsen_US
dc.subjectquenchingen_US
dc.subjectshooting methoden_US
dc.subjectasymptotic behavioren_US
dc.title擬線性拋物型方程之非線性邊界值問題的自我相似解zh_TW
dc.titleSelf-similar Solutions for a Quasilinear Parabolic Equation with Nonlinear Boundary Condition.en_US

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