律

A L(superscript ∞) bound estimate is provided on the solutions of a semi-linear parabolic system by the theory of phase transitions. The existence of solutions of corresponding hyperbolic system of conservation laws is studied by viscosity methods and compensated compactness framework.

讨论来源于物理相变理论的一类半线性抛物型方程组解的一致L估计，该结果是利用粘性法和补偿列紧框架研究相应的双曲型守恒律解的存在性的重要内容。

A L∞bound estimate is provided on the solutions of a semi-linear parabolic system by the theory of phase transitions.The existence of solutions of corresponding hyperbolic system of conservation laws is studied by viscosity methods and compensated compactness framework.

讨论来源于物理相变理论的一类半线性抛物型方程组解的一致L∞估计，该结果是利用粘性法和补偿列紧框架研究相应的双曲型守恒律解的存在性的重要内容。

However, the solutions of the Cauchy problem of the nonlinear hyperbolic system generally develop singularities in finite time even if the initial data are small and smooth.For this reason, solutions must be found in the space of discontinuous functions. Therefore, one can not directly use the classical analytic techniques that predominate in the theory of partial differential equations of other types. Instead, we construct approximate solutions via the singular perturbation methods. By using the compactness of the approximate solutions, we can obtain the existence of the solutions of original system.

然而一般而言，即使是在初值很小且光滑的情况下，非线性双曲型守恒律的Cauchy问题的解在有限时间内也会出现奇异性，为此，我们必须在不连续函数空间中寻找上述问题的解，因此对这类问题的研究，我们也不可能直接利用在其它类型的偏微分方程中占主导地位的解析方法来解决问题，而是通过奇异扰动法构造近似解，由近似解的紧性得到原问题解的存在性。

The research on numerical method for hyperbolic conservation laws is one of the important directions in computational mathematics.

中文摘要：双曲型守恒律方程数值方法的研究，是计算数学中的一个重要研究方向。

And many finite difference schemes have been widely used to solve hyperbolic conservation laws.

有限差分格式已经被广泛应用于守恒律方程的求解。

The key problem of the reaction chromatography is the initial-boundary value problem for hyperbolic conservation laws systems.

反应色谱的核心问题是双曲守恒律的初边值问题。

This method can find CS according to the relationship among inputs and outputs implied in the incidence matrix, finally using Boolean absorption law, idempotent law, or prime law to get MCS.

具体方法是在关联矩阵中按行、列查找所表达的输入、输出关系，直到找到基本事件，并将对应事件按"与"、"或"关系展开，这样可以直接从关联矩阵中得出割集，再按照布尔吸收律、等幂率或素数法求出最小割集。

But under the laws of Germany this could not be done without the concurrence of the princes; and, overcome at last by the legate's importunity, Charles bade him present his case to the Diet.

但根据德国的律法，这件事情若得不到诸侯的同意是不能执行的；结果，皇帝终于因亚利安德的恳求不已而让他向议会陈述他的意见。

In like manner He had established His law, the foundation of His government in heaven and upon earth.

他照样坚定他的律法，作为他在天上和地上政权的基础。

To chase the network sun without stop for 24 hours is a demonstration of your inaptitude, burning a candle at two ends.

同时，她仍旧从事教学工作，于1967年自底特律大学转到安大略湖区的温得森大学任教，又于1978年到了普林斯顿大学。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。