Applications of the Kinetic Formulation for Scalar Conservation Laws with a Zero-Flux Type Boundary Condition |
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| Authors: | Zhigang WANG and Yachun LI |
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| Institution: | 1. Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China; Department of Mathematics, Fuyang Teachers College, Fuyang 236029, Anhui, China
2. Corresponding author. Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240 |
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| Abstract: | The authors are concerned with a zero-flux type initial boundary value problem for scalar conservation laws.Firstly,a kinetic formulation of entropy solutions is established.Secondly,by using the kinetic formulation and kinetic techniques,the uniqueness of entropy solutions is obtained.Finally,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. |
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| Keywords: | Scalar conservation laws Entropy solutions Kinetic formulation Uniqueness Error estimate |
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