多個有關於非線性守恆律議題的研究;The Research of Several Topics on Nonlinear Hyperbolic Systems of Balance Laws

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/96976

Title:	多個有關於非線性守恆律議題的研究;The Research of Several Topics on Nonlinear Hyperbolic Systems of Balance Laws
Authors:	洪盟凱
Contributors:	國立中央大學數學系
Keywords:	非線性雙曲型平衡律;弱解;經典解;可壓縮尤拉-柏桑方程;淺水波方程;非線性共振型波方程;交通流體;廣義格林差分格式;奇異擾動理論;解的自相似性;解的黏性極限性;;Hyperbolic systems of balance laws;weak solutions;classical solutions;compressible Euler-Poisson equations;shallow water equations;nonlinear wave equations with resonance;traffic flows;generalized Glimm scheme;singular perturbation methods;self-similarity of solutions;viscous limit of solutions.
Date:	2025-07-31
Issue Date:	2025-08-07 17:22:44 (UTC+8)
Publisher:	國家科學及技術委員會(本會)
Abstract:	本計畫的目標旨在研究流體力學、生物數學與交通流各種型態的解之存在性及其行為。藉由此項研究，我們可對科學及工程中，物體的運動模式有更進一步的了解。
Relation:	財團法人國家實驗研究院科技政策研究與資訊中心
Appears in Collections:	[Department of Mathematics] Research Project

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