SHOCKS

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GLOBAL INSTABILITY OF MULTI-DIMENSIONAL PLANE SHOCKS FOR ISOTHERMAL FLOW被引量：2
《Acta Mathematica Scientia》2022年第3期887-902,共16页Ning-An LAI Wei XIANG Yi ZHOU 
supported by NSFC(12171097);supported in part by the Research Grants Council of the HKSAR,China(Project No.CityU 11303518,Project CityU 11304820 and Project CityU 11300021).
In this paper,we are concerned with the long time behavior of the piecewise smooth solutions to the generalized Riemann problem governed by the compressible isothermal Euler equations in two and three dimensions.A non...
关键词：BLOW-UP global solution instability shock contact disctinuity Euler equations ISOTHERMAL generalized Riemann problem nonlinear wave equations 
INITIAL BOUNDARY VALUE PROBLEM FOR A NONCONSERVATIVE SYSTEM IN ELASTODYNAMICS被引量：1
《Acta Mathematica Scientia》2018年第3期1043-1056,共14页K.Divya JOSEPH P.A.DINESH Department of Mathematics M.S.Ramaiah Institute of Technology MSRIT P.O  
This article is concerned with the initial boundary value problem for a nonconservative system of hyperbolic equation appearing in elastodynamics in the space time domain x 〉 0, t 〉 0. The number of boundary conditi...
关键词：ELASTODYNAMICS viscous shocks 
VANISHING VISCOSITY FOR NON-ISENTROPIC GAS DYNAMICS WITH INTERACTING SHOCKS被引量：5
《Acta Mathematica Scientia》2016年第6期1699-1720,共22页施小丁 雍燕 张英龙 
Xiaoding Shi was supported by National Natural Sciences Foundation of China(11471321);Yan Yong was supported by National Natural Sciences Foundation of China(11201301)
In this paper, we study the vanishing viscosity limit for non-isentropic gas dy- namics with interacting shocks. Given any entropy solution of non-isentropic gas dynamics which consists of two different families of sh...
关键词：vanishing viscosity non-isentropic gas dynamics interacting shock contactdiscontinuity 
ON LOCAL STRUCTURAL STABILITY OF ONE-DIMENSIONAL SHOCKS IN RADIATION HYDRODYNAMICS被引量：1
《Acta Mathematica Scientia》2015年第1期1-44,共44页唐平凡 方北香 王亚光 
supported by NNSF of China(10971134,11031001,91230102,11371250)
In this paper, we are concerned with the local structural stability of one-dimensional shock waves in radiation hydrodynamics described by the isentropic Euler-Boltzmann equations. Even though in this radiation hydrod...
关键词：radiation hydrodynamics Euler-Boltzmann equations Riemann problems shock waves 
THE RIEMANN PROBLEM WITH DELTA INITIAL DATA FOR THE ONE-DIMENSIONAL CHAPLYGIN GAS EQUATIONS被引量：18
《Acta Mathematica Scientia》2012年第3期825-841,共17页王振 张庆玲 
supported by National Natural Science Foundation of China (10871199)
In this article, we study the Riemann problem with delta initial data for the one-dimensional Chaplygin gas equations. Under the generalized Rankine-Hugoniot conditions and the entropy condition, we constructively obt...
关键词：Chaplygin gas equations Riemann problem delta-shocks generalized Rankine-Hugoniot conditions generalized solutions 
SPIRAL SOLUTION TO THE TWO-DIMENSIONAL TRANSPORT EQUATIONS被引量：1
《Acta Mathematica Scientia》2010年第6期2110-2128,共19页王振 张庆玲 
supported by National Natural Science Foundation of China (10871199);one hundred talent project from the Chinese Academy of Sciences
The existence of spiral solution for the two-dimensional transport equations is considered in the present paper. Based on the notion of generalized solutions in the sense of Lebesgue-stieltjes integral, the global wea...
关键词：transport equations generalized solutions δ-shocks 
STRONG SHOCKS IN NONISENTROPIC GAS DYNAMICS
《Acta Mathematica Scientia》2009年第4期973-979,共7页Constantine M. Dafermos 
In nonisentropic gas dynamics, with general equations of state, strong cornpressive shocks satisfying the Liu E-condition may violate the Second Law of thermodynamics.
关键词：gas dynamics ENTROPY Lax E-condition Liu E-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 
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