云南高校图书馆联盟文献共享服务平台- 国家自然科学基金(10671120)

国家自然科学基金(10671120): 作品数：17被引量：23H指数：4; 导出分析报告; 相关作者：陈荣三王国栋盛万成孙文华更多>>; 相关机构：上海大学安徽建筑工业学院更多>>; 相关期刊：《Applied Mathematics and Mechanics(English Edition)》《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》《应用数学和力学》更多>>; 相关主题：DELTARIEMANN问题SHOCKSEULER_EQUATIONSRELATIVISTIC更多>>; 相关领域：理学自然科学总论更多>>

Interaction of elementary waves for relativistic Euler equations被引量：1: 《Journal of Shanghai University(English Edition)》2010年第6期405-409,共5页刘凤玲盛万成; Project supported by the National Natural Science Foundation of China (Grant No.10671120); In this paper, using the characteristic analysis method, we study the relativistic Euler equations of conservation laws in energy and momentum in special relativity. The interactions of elementary waves for the relati...; 关键词：interaction of elementary waves relativistic Euler equations strictly hyperbolic Lorenz transformation

Axisymmetric solutions of the Chaplygin gas for initial negative radial velocity被引量：1: 《Journal of Shanghai University(English Edition)》2010年第5期380-386,共7页郭俐辉盛万成; Project supported by the Natural Science Foundation of China (Grant No.10671120);the Shanghai Leading Academic Discipline Project (Grant No.J50101); In this paper, a three-parameter family of self-similar and weak solutions are constructed rigorously in two space dimensions for all positive time to the Euler equations with axisymmetric and radial negative initial ...; 关键词：Chaplygin gas AXISYMMETRIC CONCENTRATION

间断流函数守恒律方程的广义Riemann问题: 《合肥工业大学学报（自然科学版）》2010年第3期460-463,共4页王国栋; 国家自然科学基金资助项目(10671120);安徽省教育厅自然科学基金资助项目(KJ2007B180);上海大学研究生创新基金资助项目(SHUCX091016); 文章考虑了具有间断流函数的单个守恒律方程,利用小扰动的方法讨论了方程的广义Riemann问题,考虑三片常状态时的初值下基本波的互相作用,得出在静态激波处必须满足的Rankine-Hugoniot条件,进一步得到相应的准确Riemann解。; 关键词：间断流函数广义Riemann问题 Rankine-Hugoniot条件 Riemann解

Solutions to a hyperbolic system of conservation laws on two boundaries: 《Applied Mathematics(A Journal of Chinese Universities)》2009年第4期495-502,共8页JIA Zhi YAO Ai-di; Supported by the National Natural Science Foundation of China (10671120); This paper studies the interaction of elementary waves including delta-shock waves on two boundaries for a hyperbolic system of conservation laws. The solutions of the initialboundary value problem for the system are ...; 关键词：interaction of elementary waves delta-shock wave nonstrictly hyperbolic entropy-flux pair entropy boundary condition

TWO-DIMENSIONAL RIEMANN PROBLEMS:FROM SCALAR CONSERVATION LAWS TO COMPRESSIBLE EULER EQUATIONS被引量：4: 《Acta Mathematica Scientia》2009年第4期777-802,共26页李杰权盛万成张同郑玉玺; supported by 973 Key program and the Key Program from Beijing Educational Commission with No. KZ200910028002;Program for New Century Excellent Talents in University (NCET);Funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality (PHR-IHLB);The research of Sheng partially supported by NSFC (10671120);Shanghai Leading Academic Discipline Project: J50101;The research of Zhang partially supported by NSFC (10671120);The research of Zheng partially supported by NSF-DMS-0603859; In this paper we survey the authors＇ and related work on two-dimensional Riemann problems for hyperbolic conservation laws, mainly those related to the compressible Euler equations in gas dynamics. It contains four s...; 关键词：two-dimensional Riemann problem compressible Euler equation reflection of shocks interaction of rarefaction waves delta-shocks

Delta Shocks and Vacuum States in Vanishing Pressure Limits of Solutions to the Relativistic Euler Equations被引量：5: 《Chinese Annals of Mathematics,Series B》2008年第6期611-622,共12页Gan YIN Wancheng SHENG; supported by the National Natural Science Foundation of China (No. 10671120);the ShanghaiLeading Academic Discipline Project (No. J50101).; The Riemann problems for the Euler system of conservation laws of energy and momentum in special relativity as pressure vanishes are considered. The Riemann solutions for the pressureless relativistic Euler equations ...; 关键词：Relativistic Euler equations in special relativity Pressureless relativistic Euler equations Delta shock waves Vacuum Vanishing pressure limits

Riemann problem for a simplest scalar nonconvex ZND combustion model with viscosity: 《Journal of Shanghai University(English Edition)》2008年第5期383-387,共5页赖耕盛万成; Project supported by the National Natural Science Foundation of China （Grant No.10671120）; In this paper, a simplest scalar nonconvex ZND combustion model with viscosity is considered. The existence of the global solution of the Riemann problem for the combustion model is obtained by using the fixed point t...; 关键词：scalar nonconvex ZND combustion model Riemann problem self-similar solution Leray-Schauder fixed point theorem

Godunov＇s method for initial-boundary value problem of scalar conservation laws: 《Journal of Shanghai University(English Edition)》2008年第4期298-301,共4页林贵成盛万成; Project supported by the National Natural Science Foundation of China （Grant No. 10671120）; This paper is concerned with Godunov＇s scheme for the initial-boundary value problem of scalar conservation laws. A kind of Godunov＇s scheme, which satisfies the boundary entropy condition, was given. By use of the ...; 关键词：scalar conservation laws Godunov＇s method initial-boundary value problem

Initial-boundary value problem of nonlinear hyperbolic system for conservation laws with delta-shock waves被引量：2: 《Journal of Shanghai University(English Edition)》2008年第4期306-310,共5页姚爱娣盛万成; Project supported by the National Natural Science Foundation of China （Grant No.10671120）; For a nonlinear hyperbolic system of conservation laws, the initial-boundary value problem is concerned with the boundary conditions. A boundary entropy condition is derived based on Dubois F and Le Floch P＇s results...; 关键词：initial-boundary value problem delta-shock wave linearly degenerated entropy-flux pair entropy boundary inequality

间断流函数守恒律方程的高精度有限差分格式: 《应用数学与计算数学学报》2008年第2期41-48,共8页王国栋; 国家自然科学基金(No.10671120);安徽省教育厅基金项目(No.KJ2007B180);安徽建筑工业学院硕博项目(No.2005110112)资助.; 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.; 关键词：守恒律方程间断流函数高精度 RIEMANN问题

国家自然科学基金(10671120)