| DC 欄位 |
值 |
語言 |
| DC.contributor | 數學系 | zh_TW |
| DC.creator | 廖鈞妙 | zh_TW |
| DC.creator | Jun-Miao Liao | en_US |
| dc.date.accessioned | 2018-6-21T07:39:07Z | |
| dc.date.available | 2018-6-21T07:39:07Z | |
| dc.date.issued | 2018 | |
| dc.identifier.uri | http://ir.lib.ncu.edu.tw:444/thesis/view_etd.asp?URN=104221008 | |
| 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 | 在這篇論文中，我們考慮單一非線性守恆律的廣義黎曼問題解，
此一守恆律的源項在分佈理論中是奇異的，
代表它是delta函數和非連續函數的乘積。在這篇論文中，
我們將展示一個例子去證明此守恆律中的非守恆乘積是不穩定的。
也就是它的正則型式的積分有不同的值。當解帶有震波時，它們的值取決於震波正則模式的選取。 | zh_TW |
| dc.description.abstract | In this thesis, we consider the generalized Riemann solutions of scalar nonlinear balance laws
with singular source terms. The source term is singular in the
sense that it is a product of delta function and a discontinuous
function, which is undefined in distribution. We demonstrate an example to show
that the non-conservative product $a′g(u)$ is unstable in the sense that the integral of
regularization $a_{varepsilon}′g(u_{varepsilon})$ for $a′g(u)$ may have multiple values due to the forms $a_varepsilon$, $u_varepsilon$ when $u$ consists of shocks. | en_US |
| DC.subject | 非線性守恆律 | zh_TW |
| DC.subject | 擊波解 | zh_TW |
| DC.subject | 非守恆積分 | zh_TW |
| DC.subject | 不穩定性 | zh_TW |
| DC.subject | Non-Conservative Product | en_US |
| DC.subject | Shock Wave Solutions | en_US |
| DC.subject | Singular Source Terms | en_US |
| DC.subject | Scalar Balance Laws | en_US |
| DC.subject | Instability | en_US |
| DC.title | 非線性守恆律中擊波解之非守恆積分的不穩定性 | zh_TW |
| dc.language.iso | zh-TW | zh-TW |
| DC.title | Instability of Non-Conservative Product to Shock Wave Solutions of Scalar Balance Laws With Singular Source Terms | en_US |
| DC.type | 博碩士論文 | zh_TW |
| DC.type | thesis | en_US |
| DC.publisher | National Central University | en_US |