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1·A hyperbolic equation can fit the data well and is able to predict the DOC content and flux based on flow measurements.

据此建立的双曲线方程可用来估算DOC含量和输出通量。

2·The initial boundary value problem for nonlinear hyperbolic equation in three dimensional domain with moving boundary is studied.

研究具有变动边界的三维区域上的非线性双曲型方程的初边值问题。

3·In this paper, I design a series of high-efficiency serial schemes and parallel algorithms for one-dimension and two-dimension hyperbolic equation.

本文针对一维和二维双曲型方程的初边值问题，设计了几类高效率串行格式和并行算法。

4·Concerns with the nonexistence of global solutions to the initial boundary value problem for a nonlinear hyperbolic equation with material damping.

考虑了一类具材料阻尼的非线性双曲型方程初边值问题整体解的不存在性。

5·After affirming the existence of non-Fourier effect, the hyperbolic equation suited for describing rapidity heat transfer process inside propellant is obtained.

通过分析研究点火瞬态过程中推进剂内部急速热传导存在的非傅立叶效应，推导得到具有双曲性质的固体推进剂瞬态热传导方程。

6·A class of nonconforming finite elements are applied to hyperbolic equation with semidiscretization on anisotropic meshes, the optimal error estimates are derived.

在各向异性条件下，讨论了双曲型方程的一类非协调有限元逼近，给出了半离散格式下的最优误差佑计。

7·In this paper, an implicit-explicit upwind difference scheme for the first order linear hyperbolic equation is proposed using explicit scheme and implicit scheme alternately.

本文采用显格式与隐格式交替使用的方法，针对一阶线性双曲方程提出了一种隐-显迎风差分格式。

8·The paper deals with the existence of global solution for some semilinear hyperbolic equation with initial and boundary value by using Galerkin method and compactness criteria.

应用Galerkin方法及紧致性原理，研究了一类非线性双曲型方程初边值问题整体解的存在性。

9·In this paper, we show the domain of the existence of the solution on Goursat problem for quasi—linear hyperbolic equation and obtain the Theorem of the existence and uniqueness in above domain.

本文以两个自变量的拟线性双曲型方程的古尔沙问题为例，应用反函数和积分不等式证明了等价积分方程组解的存在唯一性，同时给出了解的存在区域和已知参量的依赖关系。

10·Starting from paraxial wave equation, analytical propagation expressions of hyperbolic secant pulsed beams with narrowband and broadband are derived.

从近轴波动方程出发推导了窄带和宽带双曲正割脉冲光束的解析传输公式。