多年以来，近似双曲型守恒律方程的严格单调差分格式的离散激波的渐近稳定性一直被普遍认为已经得到解决。
For the strictly monotonic schemes approximating single hyperbolic conservation laws, the asymptotic stability of the discrete shocks is widely believed to have been worked out.
考虑一个带有松驰机制的双曲型守恒律组，证明了当初始数据适当小时，整体解的存在及光滑性。
A hyperbolic system of conservation laws with relaxation is considered, and the existence and smoothness of the solution is proved.
之后，将格式按分量形式推广到二维非线性双曲型守恒方程组。
The extension to the two-dimensional nonlinear hyperbolic conservation law systems is straightforward by using component-wise manner.
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