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 \(\eta ^{\tfrac{1} {3}}\) 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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