博碩士論文 972201033 完整後設資料紀錄

DC 欄位 值 語言
DC.contributor數學系zh_TW
DC.creator李育誠zh_TW
DC.creatorYu-cheng Leeen_US
dc.date.accessioned2010-6-29T07:39:07Z
dc.date.available2010-6-29T07:39:07Z
dc.date.issued2010
dc.identifier.urihttp://ir.lib.ncu.edu.tw:88/thesis/view_etd.asp?URN=972201033
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,我們討論二階非線性系統守恆律的整體經典解存在性.使用特徵線法和A uniform a priori estimate我們去建立整體經典解的存在條件. zh_TW
dc.description.abstractIn this thesis, we consider the Cauchy problem of 2 × 2 nonlinear hyperbolic balance laws whose source terms consist of the integral of unknowns. Such nonlinear balance laws arise in, for instance, the compressible Euler-Poisson equations of gas dynamics in Lagrangian coordinate. We are concerned with the global existence of classical solutions to the Cauchy problem of such differential-integro systems. We extend the results by Ta-tsien Li for quasilinear hyperbolic systems to our nonlinear balance laws. The method in this thesis based on the following three steps: (1) the theory of local classical solutions, (2) uniform a priori estimate, (3) global existence or blow up of classical solutions. We find the transformation so that the 2 × 2 system for the first derivatives of Riemann invariants are de-coupled under this transformation. So, the characteristic method for scalar equations can be applied. en_US
DC.subject雙曲守恆律zh_TW
DC.subject非線性守恆律zh_TW
DC.subject柯西問題zh_TW
DC.subject整體經典解zh_TW
DC.subject特徵線法zh_TW
DC.subjectNonlinear balance lawsen_US
DC.subjectHyperbolic conservation lawsen_US
DC.subjectCharacteristic methoden_US
DC.subjectGlobal classical solutionsen_US
DC.subjectCauchy problemen_US
DC.title二階非線性守恆律的整體經典解zh_TW
dc.language.isozh-TWzh-TW
DC.titleGlobal Classical Solutions for the 2 × 2 Nonlinear Balance Lawsen_US
DC.type博碩士論文zh_TW
DC.typethesisen_US
DC.publisherNational Central Universityen_US

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