博碩士論文 982201016 完整後設資料紀錄

DC 欄位 語言
DC.contributor數學系zh_TW
DC.creator呂佳孃zh_TW
DC.creatorChia-niang Luen_US
dc.date.accessioned2011-7-6T07:39:07Z
dc.date.available2011-7-6T07:39:07Z
dc.date.issued2011
dc.identifier.urihttp://ir.lib.ncu.edu.tw:444/thesis/view_etd.asp?URN=982201016
dc.contributor.department數學系zh_TW
DC.description國立中央大學zh_TW
DC.descriptionNational Central Universityen_US
dc.description.abstract在本文中,主要研究Regularized Buckley-Leverett 方程行進波解的存在性,這個問題可以簡化成兩點邊界值問題的微分方程。在給定邊界條件下,使得這個邊界值問題可以有三個平衡點。在特殊的邊界條件下,行進波解的存在性是可以在Poincare-Bendixson 定理和在Stable Manifold定理下的trapping region method證明出來。 zh_TW
dc.description.abstractIn this thesis, we study the existence of traveling wave solutions to the regularized Buckley-Leverett equation. The problem can be reduced to a two point boundary value problem of some ordinary differential equation. We give the conditions of boundary data such that the two point boundary value problem has exactly three equilibria. The existence of traveling wave solutions for some special boundary data are provided by Poincar´e-Bendixson Theorem, and trapping region method for Stable Manifold Theorem. en_US
DC.subject守恆定律zh_TW
DC.subject兩點邊界值問題zh_TW
DC.subjectPoincar´e-Bendixson 定理zh_TW
DC.subjectStable Manifold 定理zh_TW
DC.subjectRegularized Buckley-Leverett 方程zh_TW
DC.subject行進波zh_TW
DC.subjectdispersive方程zh_TW
DC.subjectStable Manifold Theoremen_US
DC.subjecttraveling wavesen_US
DC.subjectconservation lawsen_US
DC.subjectdispersive equationsen_US
DC.subjectRegularized Buckley-Leverett equationen_US
DC.subjectPoincar´e-Bendixson Theoremen_US
DC.subjecttwo point boundary value problemen_US
DC.titleRegularized Buckley-Leverett方程的行進波解zh_TW
dc.language.isozh-TWzh-TW
DC.titleTraveling Wave Solutions to theRegularized Buckley-Leverett Equationen_US
DC.type博碩士論文zh_TW
DC.typethesisen_US
DC.publisherNational Central Universityen_US

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