查询词典 hyperbolic system

There are several examples of the advection, hyperbolic system and wave problems discussed in this present work.

数值结果皆与解析解或数值解比对结果良好，证明本文所提出的无网格数值方法对於波动问题具有高度精度、一致性与效率。

At last, in Chapter 7, the author establishes the theory on global exact boundary controllability for first order quasilinear hyperbolic system of diagonal form and applies it to one-dimensional isentropic flow system.

最后，在第七章，本文对齐次的一阶拟线性对角型双曲组实现了整体精确能控性，并在一维等熵流方程组得到了应用。

The dissipative function of term Δu_ in a class of nonlinear hyperbolic system with strong damping is studied.

研究一类强阻尼非线性双曲型方程组中阻尼项Δuit的耗散作用。

We obtain several decay estimate of solutionsto hyperbolic system of first order by different norms of initial data.

得到了一阶双曲组Cauchy问题解的几个衰减估计。

To similinear hyperbolic system, we use interpolated coefficient FEM and get similar results as the linear one.

对于一阶半线性双曲组，我们对半线性项插值系数有限元方法，得到了和线性问题类似的结论。

An important aspect of the theory of the nonlinear hyperbolic system of conservation laws is the existence of solutions. It helps to justify the appropriateness of the models.

关于非线性双曲型守恒律理论的一个重要方面是方程组解的存在性问题，它有助于我们分析对身边的自然现象建立的数学模型是否正确。

For fuzzy hyperbolic model, three stable controllers are proposed based on robust stability theory, optimal control theory, H-infinite theory and nonlinear system theory. Finally a fuzzy Lyapunov analysis method is put forward to analyze the stability of fuzzy hyperbolic system.

针对模糊双曲正切模型，根据鲁棒稳定性理论、最优控制理论、H无穷控制理论和非线性系统理论设计了三种稳定的控制器，并提出一种模糊Lyapunov分析方法使用语言信息分析模糊双曲正切系统的稳定性。

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。

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。