Conservation law equations are fundamental principles in physics and engineering that describe how certain quantities, such as mass, energy, momentum, and electric charge, remain constant in a closed system. They are expressed as mathematical equations called conservation laws, and play a crucial role in understanding the behavior of physical systems. In this collection of English short sentences and example sentences, we explore the concept of conservation laws and demonstrate their application in various contexts. From the conservation of energy in a moving car to the conservation of mass in chemical reactions, these examples illustrate the universal nature of conservation laws and their significance in scientific study and technological development. Whether in the realms of classical mechanics, thermodynamics, or electromagnetism, the principles embodied in conservation law equations provide a solid foundation for understanding the behavior of natural phenomena.
守恒律方程,Conservation law
1)Conservation law守恒律方程
1.Large time behavior of solutions to the one dimensional scalar conservation law with relaxation;带松弛项的单个守恒律方程解的大时间状态估计
2.We study the pointwise estimates of solutions for the conservation law with relaxation by Green"s function.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。
英文短句/例句
1.High Accuracy GDQ Method for One Dimension Hyperbolic Conservation Equation;一维双曲守恒律方程的高精度GDQ方法
2.The Initial Value Problem for a Class of Nonlinear Hyperbolic Systems of Conservation Laws;非线性双曲守恒律方程组的初值问题
3.New Structures of Non-selfsimilar Solutions for Multi-dimensional Conservation Laws;高维守恒律方程非自相似解的新结构
4.Pointwise Estimates of Solutions for Conservation Law with Relaxation带松弛项的守恒律方程解的逐点估计
5.The Elementary Waves of Conservation Laws in Magnetogasdynamics磁气体动力学守恒律方程组的基本波
6.High Resolution Finite Volume Method for Hyperbolic Conservation Laws on Unstructured Mesh;双曲型守恒律方程的高分辨率有限体积方法
7.Adaptive Discontinuous Galerkin Methods for Hyperbolic Conservation Laws自适应间断有限元方法求解双曲守恒律方程
8.ON CONSTRUCTION OF THE GLOBAL SOLUTION BOR QUAIC-LINEAR HYPERBALIC SYSTEMO OF CONSERVATION LAWO拟线性双曲型守恒律方程组的整体的构造解
9.Spectral Element Vanishing Viscosity for Conservation Laws on the Semi-infinite Interval;无界区域中守恒律方程的谱元粘性消去法
10.Singular Structure of Global Solution for a Class of Two-Dimensional Conservation Laws;一类二维守恒律方程组全局解的奇性结构
11.High Resolution Hybrid Finite Difference Scheme for Hyperbolic of Conservation Laws;双曲型守恒律方程的高分辨率混合差分格式
12.High Accuracy WENO Finite Volume Schemes for Hyperbolic Conservation Law Systems;双曲守恒律方程组高精度WENO有限体积格式研究
13.The Interaction and Evolution of Elementary Waves for Multi-Dimensional Conservation Laws;高维守恒律方程基本波的相互作用与演化
14.Research on the Interaction of Solutions for Two-Dimensional Conservation Laws by Envelope应用包络研究二维守恒律方程解的相互作用
15.Cauchy Problem for the Nonhomogeneous Hyperbolic Conservation Laws with the Degenerate Viscous Term;具有退化粘性的非齐次双曲守恒律方程的Cauchy问题
16.Non-selfsimilar Elementary Waves of the Multi-dimensional Scalar Conservation Law and Their Interactions;高维单守恒律方程的非自相似基本波及其相互作用
17.Application of Wavelet Analysis to Solving Hyperbolic Conservation Laws;小波分析在双曲型守恒律方程数值解中的应用研究
18.The Summary to the Generalized Riemann Problem for a Class of Hyperbolic Systems of Conservation Laws一类双曲型守恒律方程广义黎曼问题的研究综述
相关短句/例句
conservation laws守恒律方程
1.A new approach is introduced to prove optimal L 1 error estimates for various approximate methods,such as viscosity methods,monotone difference schemes and stiff relaxation approximations,toconservation laws.介绍一种误差分析的新途径，并对守恒律方程各种近似方法如粘性法，单调差分格式及松弛近似等证明了最佳Ｌ１误差估计。
2.In this paper,the scalarconservation laws with discontinuous flux function is considered.本文研究了具有间断流函数的守恒律方程,借助本质无振荡(ENO)的思想,利用Rankine-Hugoniot关系和全局熵条件设计出一种高精度计算格式;并利用此格式计算出相关情形的Riemann问题,显示了满意的数值解果。
3.Despite of non-uniqueness of solutions of conservations laws,conservation laws are deduced by physical phenomena, which determine the uniqueness.由于守恒律程的弱解不唯一，而守恒律方程是由特定的物理现象推导出来的，这就决定了弱解的唯一性。
3)hyperbolic conservation laws双曲守恒律方程
1.In recent years, high-accurate and high-resolution weighted essentially non-oscillatory (WENO) schemes forhyperbolic conservation laws have been developed in computational fluid dynamics.本文综合介绍了双曲守恒律方程的有限差分和有限体积迎风型WENO,中心WENO,紧致中心WENO以及优化的WENO格式等,讨论了负权的处理和多维问题的解决方法。
2.Numerical investigation of IGVC(Improved Group Velocity Control) scheme for thehyperbolic conservation laws including source terms is discussed in this paper.研究带源项双曲守恒律方程的IGVC(改进的群速度控制)格式。
3.The solutions of the Hyperbolic conservation laws might develop discontinuity even if the initial conditions are very smooth.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。
4)equivalence/conservation law equation等价/守恒律方程
5)Multi-dimensional conservation laws高维守恒律方程
1.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.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。
6)viscous conservation law systems粘性守恒律方程
1.This paper considers the viscous shock wave problem a class ofviscous conservation law systems.考虑一类粘性守恒律方程粘性激波问题 ,证明了存在临界门槛 ,在门槛之上存在粘性激波 ,在门槛之下存在连续波前波 。
延伸阅读
矿井通风能量守恒方程矿井通风能量守恒方程equation of concerration of energe in mine ventilationkuangjing tongfeng nengliang shouheng fangeheng矿并通风能量守恒方程(equation of coneer-ration of energy in mine ventilation)能量守恒定律在矿井空气运动中的表达式。又称伯努利方程。它反映空气运动时压力和阻力的关系，是进行矿井通风阻力测量和计算的理论基础。设矿井风流从断面1流向断面2，断面1、2距离基准面的垂高为21、22(m);断面1、2至基准面的空气柱平均密度为汽，、汽2(N/m3);两断面的空气平均流速和密度分别为u，、脚(m/s)和y:、yZ(N/m，)，矿井通风工程中的实用能量守恒方程为 ____u子_u若______.__. (尸，一尸，)+(升7，一于7，)十(21汽_一Z，戈_)一人1，一‘」、29一土29一‘’‘一上一、一‘”‘2式中PI、尸:分别为1、2断面处单位体积风流的压能，表现为静压，N/mZ;釜，1、鬓72为断面1、2处单位体积风流的动能，表现为动压，N/m，;21汽，、22汽:为断面1、2处单位体积风流的位能，N/m“;hl、:为两断面间的通风阻力，N/mZ;g为重力加速度，m/s“。能量守恒方程表明，任意两断面间风流的压能、动能和位能之差的总和等于风流流经两断面间克服矿井通风阻力所损失的能量。风流总是由总能量较大处流向总能量较小处。 (李怀宇)
