| DC 欄位 |
值 |
語言 |
| DC.contributor | 數學系 | zh_TW |
| DC.creator | 張育晟 | zh_TW |
| DC.creator | Yo-Cheng Zhang | en_US |
| dc.date.accessioned | 2011-7-28T07:39:07Z | |
| dc.date.available | 2011-7-28T07:39:07Z | |
| dc.date.issued | 2011 | |
| dc.identifier.uri | http://ir.lib.ncu.edu.tw:88/thesis/view_etd.asp?URN=962201026 | |
| dc.contributor.department | 數學系 | zh_TW |
| DC.description | 國立中央大學 | zh_TW |
| DC.description | National Central University | en_US |
| dc.description.abstract | 在這篇研究報告中，我們仔細檢視了 P.L. Lions [Lio98] 與 E. Feireisl [FNP01] 對可壓縮等熵 Navier-Stokes 方程組弱解整體存在性的證明。Lions [Lio98] 證明了在三維空間中，當熱容比大於 9/5，而且初值所對應的動能與位能是有限的，則方程組的弱解在任意時間內都存在。之後，Feireisl把 Lions 的結果推廣到熱容比大於 3/2 的情形。本文按 E. Feireisl [FNP01] 與 A. Novotny [NS04] 的證明方式，試著給予一個比較詳細的過程。
| zh_TW |
| dc.description.abstract | Abstract In this survey artical, we scrutinize the paper by P.L. Lions [Lio98] and E. Feireisl [FNP01] that contribute to the global in time existence of solutions for the compressible isentropic Navier-Stokes equations. If initial data has finite energy, Lions obtained global existence of weak solutions when the adiabatic constant gamma>9/5 . The result was later improved by Feireisl for gamma>3/2. This artical is intended to give some more details about the proofs of the global in time existence by E. Feireisl [FNP01] and A. Novotny [NS04].
| en_US |
| DC.subject | 可壓縮 | zh_TW |
| DC.subject | 整體存在性 | zh_TW |
| DC.subject | compressible | en_US |
| DC.subject | global in time existence | en_US |
| DC.subject | Navier-Stokes | en_US |
| DC.title | Navier-Stokes 方程组弱解的存在性 | zh_TW |
| dc.language.iso | zh-TW | zh-TW |
| DC.title | On The Existence Of Solutions For Navier-Stokes Equations | en_US |
| DC.type | 博碩士論文 | zh_TW |
| DC.type | thesis | en_US |
| DC.publisher | National Central University | en_US |