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。

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.

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