ON THE CAUCHY PROBLEM OF TRANSPORTATION EQUATIONS 被引量：4

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摘要 In this paper, we prove the global existence of generalized solutions of Cauchy problem for transportation equations; moreover, we construct the solution by generalized potential. In this paper, we prove the global existence of generalized solutions of Cauchy problem for transportation equations; moreover, we construct the solution by generalized potential.

作者王振黄飞敏丁夏畦

出处《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1997年第2期113-122,共6页 应用数学学报（英文版）

关键词 Hyperbolic system generalized solution Lebesgue-Stieltjes integral generalized potential Hyperbolic system, generalized solution, Lebesgue-Stieltjes integral, generalized potential

分类号 O175 [理学—基础数学]

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1黄飞敏,李才中,王振.SOLUTIONS　CONTAINING　DELTA－WAVES　OF　CAUCHY　PROBLEMS　FOR　A　NONSTRICTLY　HYPERBOLIC　SYSTEM[J].Acta Mathematicae Applicatae Sinica,1995,11(4):429-446. 被引量：1
2孙文华,盛万成.Two-dimensional non-selfsimilar initial value problem for adhesion particle dynamics[J].Applied Mathematics and Mechanics(English Edition),2007,28(9):1191-1198. 被引量：1
3Wenhua SUN,Wancheng SHENG.The Non-selfsimilar Riemann Problem for 2-D Zero-Pressure Flow in Gas Dynamics[J].Chinese Annals of Mathematics,Series B,2007,28(6):701-708. 被引量：4
4Feimin Huang,Zhen Wang.Well Posedness for Pressureless Flow[J].Communications in Mathematical Physics.2001(1)
5Jiaxin Hu.One-Dimensional Riemann Problem for Equations of Constant Pressure Fluid Dynamics with Measure Solutions by the Viscosity Method[J].Acta Applicandae Mathematicae.1999(2)
6E Weinan,Yu. G. Rykov,Ya. G. Sinai.Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics[J].Communications in Mathematical Physics.1996(2)
7R.P.Agarwal,D.W.Halt.A modified CUSP scheme in wave particle split form for un-structured grid Euler flows[].Frontiers of Computational Fluid Dynamics.1994
8F.Bouchut.On zero-pressure gas dynamics[].Advances in Kinetic Theory and Computing.1994
9T.Chang,G.Q Chen,S.Yang.On the Riemann problem for two-dimensional Euler equa-tions,II.Interaction of contact discontinuties[].Discrete ContinDynSyst.2000
10D.Mitrovic,M.Nedeljkov.Delta-shock waves as a limit of shock waves[].JHyperbolic Differential Equations.2007

引证文献4

1Qingling Zhang (School of Math.and Computer Sciences,Jianghan University,Wuhan 430056).THE VANISHING PRESSURE LIMIT OF SOLUTIONS TO THE SIMPLIFIED EULER EQUATIONS FOR ISENTROPIC FLUIDS[J].Annals of Differential Equations,2012,28(1):115-126.
2黄飞敏,王振.UNIQUENESS ON ZERO PRESSURE GAS DYNAMICS[J].Acta Mathematica Scientia,2001,21(2):145-151.
3王振,张庆玲.SPIRAL SOLUTION TO THE TWO-DIMENSIONAL TRANSPORT EQUATIONS[J].Acta Mathematica Scientia,2010,30(6):2110-2128. 被引量：1
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1王振,张庆玲.THE RIEMANN PROBLEM WITH DELTA INITIAL DATA FOR THE ONE-DIMENSIONAL CHAPLYGIN GAS EQUATIONS[J].Acta Mathematica Scientia,2012,32(3):825-841. 被引量：18

1马宇韬.TRANSPORTATION INEQUALITIES FOR WEAKLY DEPENDENT SEQUENCES[J].Acta Mathematica Scientia,2011,31(4):1494-1502.
2孔令伟,万荣正,方海平.Transportation of Two Coupled Particles in an Asymmetric Saw-Tooth Potential[J].Chinese Physics Letters,2016,33(2):13-16.
3谭泽光.THE SIMPLE BLOCK ITERATIVE ALGORITHM OF AN EXTENDED ENTROPY MODEL AND ITS CONVERGENCE[J].Acta Mathematicae Applicatae Sinica,1998,14(1):96-105.
4Lai, Ying-Xu, Zheng, Zhi-Chu, Shi, Zai-Hong, Wu, Ying-Xiang.A NEW TECHNIQUE OF OIL TRANSPORTATION IN PIPELINE BY STEAM INJECTION[J].Journal of Hydrodynamics,2002,14(4):1-6.
5陈绍仲,李杰权,张同.Explicit construction of measure solutions of Cauchy problem for transportation equations[J].Science China Mathematics,1997,40(12):1287-1299. 被引量：1
6Zhi LI,Jiaowan LUO.Transportation inequalities for stochastic delay evolution equations driven by fractional Brownian motion[J].Frontiers of Mathematics in China,2015,10(2):303-321. 被引量：2
7HU ShuLan.Transportation inequalities for hidden Markov chains and applications[J].Science China Mathematics,2011,54(5):1027-1042.
8Wu Xiuguang,Huang Shichang,Shen Yongming,Y K Guo.Algebraic-Stress Turbulent Model of Planar 2-D Pollutant Transportation in Curvilinear Coordinates[J].工程科学（英文版）,2005,3(3):70-74.
9DU Ting-song,FEI Pu-sheng,JIAN Ji-gui.Relaxation-strategy-based Modification Branch-and-Bound Algorithm for Solving a Class of Transportation-production Problems[J].Chinese Quarterly Journal of Mathematics,2010,25(1):52-59.
10FANG Jian,LU LiPeng,SHAO Liang.Large eddy simulation of compressible turbulent channel flow with spanwise wall oscillation[J].Science China(Physics,Mechanics & Astronomy),2009,52(8):1233-1243. 被引量：2

Acta Mathematicae Applicatae Sinica

1997年第2期

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ON THE CAUCHY PROBLEM OF TRANSPORTATION EQUATIONS 被引量：4

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