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Applications of the Kinetic Formulation for scalar conservation laws with a Zero-Flux Type Boundary Condition

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Chinese Annals of Mathematics,Series B 2012年第3期33卷 351-366页

作者： Zhigang WANG Yachun LI Department of Mathematics Shanghai Jiao Tong UniversityShanghai 200240China Department of Mathematics Fuyang Teachers CollegeFuyang 236029AnhuiChina Department of Mathematics Shanghai Jiao Tong UniversityShanghai 200240China

The authors are concerned with a zero-flux type initial boundary value problem for scalar conservation ***,a kinetic formulation of entropy solutions is ***,by using the kinetic formulation and kinetic techniques,the uniqueness of entropy solutions is ***,the parabolic approximation is studied and an error estimate of order η 1/3 between the entropy solution and the viscous approximate solutions is established by using kinetic techniques,where η is the size of artificial viscosity.

关键词： scalar conservation laws Entropy solutions Kinetic formulation Uniaueness Error estimate

Interaction of elementary waves of scalar conservation laws with discontinuous flux function

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Journal of Shanghai University(English Edition) 2006年第5期10卷 381-387页

作者：王国栋盛万成 Department of Mathematics College of Sciences Shanghai University Shanghai 200444 P.R.China

In this paper, the Riemann solutions for scalar conservation laws with discontinuous flux function were constructed. The interactions of elementary waves of the conservation laws were concerned, and the numerical simu... 详细信息

关键词： discontinuous flux function scalar conservation laws linear discontinuity shock wave rarefaction wave.

Guckenheimer structure of solution of Riemann problem with four pieces of constants in two space dimensions for scalar conservation laws

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Journal of Shanghai University(English Edition) 2006年第4期10卷 305-307页

作者：张华盛万成 Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 P.R. China Department of Mathematics College of Sciences Shanghai University Shanghai 200444 P.R. China

By using the generalized characteristic analysis method, the two-dimensional four-wave Riemann problem for scalar conservation laws, which is nonconvex along the y direction, was studied. Riemann solutions, which invo... 详细信息

关键词： two-dimensional Riemann problem scalar conservation laws generalized characteristic analysis method Guckenheimer structure.

Godunov＇s method for initial-boundary value problem of scalar conservation laws

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Journal of Shanghai University(English Edition) 2008年第4期12卷 298-301页

作者：林贵成盛万成 Department of Mathematics College of Sciences Shanghai University Shanghai 200444 P. R. China

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 scheme, numerical simulation for the weak entropy solution to the initial-boundary value problem of scalar conservation laws is conducted.

关键词： scalar conservation laws Godunov's method initial-boundary value problem