博碩士論文 982201003 完整後設資料紀錄

DC 欄位 語言
DC.contributor數學系zh_TW
DC.creator陳宜廷zh_TW
DC.creatorYi-Ting Chenen_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:88/thesis/view_etd.asp?URN=982201003
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在這篇論文中,我們考慮兩種類型的Regularized Buckley-Leverett方程(縮寫成RBL方程)。第一種類型的RBL方程是拋物線型的偏微分方程,而第二類的RBL方程為具有耗散和色散的偏微分方程。在第2節,我們將推導出這兩種型號的偏微分方程。在第3節,我們將使用固定點定理證明這兩個RBL方程的柯西問題的古典解的局部存在及唯一性。 zh_TW
dc.description.abstractIn this thesis, we consider two types of regularized Buckley-Leverett equations (RBL equations for short). The first type of RBL equations are the scalar partial differential equations of parabolic type, while the second type of RBL equations are the scalar partial differential equations consist of both the dissipative and dispersive terms. In Section 2 we will derive these two models of PDEs. In Section 3 we will use the fixed point theorem to show the local existence and uniqueness of classical solutions to the Cauchy problem of these two RBL equations. en_US
DC.subject定點定理.zh_TW
DC.subject柯西問題zh_TW
DC.subject守恆定律zh_TW
DC.subject色散方程zh_TW
DC.subject耗散方程zh_TW
DC.subjectRegularized Buckley-Leverett方程zh_TW
DC.subjectdissipative equationsen_US
DC.subjectRegularized Buckley-Leverett equationsen_US
DC.subjectdispersive equationsen_US
DC.subjectFixed point theorem.en_US
DC.subjectconservation lawsen_US
DC.subjectCauchy problemen_US
DC.title兩種類型的Regularized Buckley-Leverett方程古典解的局部存在性zh_TW
dc.language.isozh-TWzh-TW
DC.titleLocal Existence of Classical Solutions to Two Types of Regularized Buckley-Leverett Equationsen_US
DC.type博碩士論文zh_TW
DC.typethesisen_US
DC.publisherNational Central Universityen_US

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