研究相对论性变质量系统的守恒律。
The conservation laws of relativistic variable mass systems were studied.
它的多辛格式具有离散多辛守恒律。
Its multi-symplectic scheme possess discrete multi-symplectic law.
最后得到了此方程的守恒律。
本文研究双曲型守恒律的高精度差分方法。
In this paper, a high order accurate difference scheme is presented for nonlinear hyperbolic conservation laws.
是求解双曲守恒律方程的高精度高分辨率数值格式。
WENO (weighted Essentially Non Oscillatroy) is a high resolution numerical scheme used for solving equations of hyperbolic conservation laws.
有限体积法是一种离散积分形式守恒律的数值方法。
Finite volume method is a numerical method that discretizes the conservation laws in the integration form.
研究一类解耦非线性双曲守恒律系统的广义黎曼问题。
The generalized Riemann problem for a class of decoupled nonlinear hyperbolic system of conservation laws is studied.
第二章首先介绍了关于双曲守恒律系统的一些基本概念。
In section 2, we introduces some useful concepts for the hyperbolic system firstly.
在第1章我们首先回顾一些关于双曲守恒律的一些基本结论。
In Chapter 1 we review some basic results on hyperbolic conservation laws.
即使初始条件十分光滑，双曲守恒律方程的解也可能出现间断。
The solutions of the Hyperbolic conservation laws might develop discontinuity even if the initial conditions are very smooth.
研究具有双面理想完整约束的变质量力学系统的机械能守恒律。
The conservation law of mechanical energy in variable mass mechanical systems with ideal bilateral holonomic constraints is studied.
运用取特殊检验函数的方法，建立了渗流方程第一边值问题解的守恒律。
By using the special test function, we discuss the establishing of conservation law of the first boundary value problem of infiltration.
本文考虑一维单个守恒律方程，对其设计了一种非线性守恒型差分格式。
In this paper, we are concerned with scalar conservation law in one space dimension. We design a nonlinear conservative difference scheme.
因此，粘性守恒律方程组整体解的大时间性态成为人们十分关心的问题。
Therefore, the large time behavior of the global solution to viscous conservation laws has become one of the most important topics in fluid dynamics.
高维守恒律方程的研究是非线性偏微分方程的最具有挑战性的方向之一。
The research on multi-dimensional conservation laws is one of the most challenging direction in the field of nonlinear partial differential equation, it is very important and very difficult.
通过对SRLW方程作正则变换，得到了它的正则方程组及其几个守恒律。
Canonical equations for the SRLW equation are presented which possess some conservation laws by canonical transformations.
考虑带松弛项的守恒律方程，用格林函数的方法得到了其整体解的逐点估计。
We study the pointwise estimates of solutions for the conservation law with relaxation by Green's function.
提出了一种新的求解双曲守恒律方程(组)的四阶半离散中心迎风差分方法。
This paper presented a new semi-discrete central scheme for hyperbolic system of conservation laws.
研究了一维线性标量守恒律初边值问题的弱解，分析了有限元方法的收敛性。
In this paper, a finite element method for linear scalar conservation laws is analyzed.
本文研究具有两段常数的初始值和常数边界值的非凸单个守恒律的初边值问题。
This paper is concerned with an initial-boundary problem of nonconvex scalar conservation laws with two pieces of constant initial data and constant boundary data.
本文研究具有两段常数的初始值和常数边界值的非凸单个守恒律的初边值问题。
Structure of global weak entropy solution for initial-boundary value problems of scalar conservation laws with non-convexity conditions;
本文考虑一维单个守恒律方程，对其设计了一个基于熵耗散的非线性守恒型差分格式。
In this paper, we are concerned with scalar conservation law in one space dimension, we design a nonlinear conservative difference scheme based on entropy-dissipation.
对于上述齐次双曲守恒律方程组与其近似模型之间解的比较，已经有人得到了相关结果。
There are some results on the comparison of weak solutions of homogeneous hyperbolic system and its approximate model.
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.
将这种新的格式构造方法应用于带有源项及刚性源项的守恒律方程，得到了相应的时空守恒格式。
This new constructing approach is applied to conservation laws with source terms or stiff source terms, and the corresponding space time schemes are obtained.
本文基于谱问题的特点利用直接方法导出了1 + 1、2 + 1维微分—差分方程的无穷多守恒律。
In this paper, we derived the conservation laws of 1 + 1, 2 + 1 dimensional differential-difference equations on the base of discrete spectral problems through a direct method.
二十世纪五十年代以来，双曲型守恒律方程数值计算方法的研究一直是计算数学中的一个重要研究方向。
Since 1950' s, the research of numerical method for hyperbolic conservation laws is one of key research directions in computational mathematics.
通过寻找积分因子来建立非完整非保守系统的守恒律，讨论了存在守恒定律的必要条件，并举例说明其应用。
A single character for use in integral invariant of nonholonomic conservation systems is proved and is subject to some conditions.
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.
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.
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