# Approximate solutions of scalar conservation laws

@article{Perepelitsa2016ApproximateSO, title={Approximate solutions of scalar conservation laws}, author={Misha Perepelitsa}, journal={arXiv: Analysis of PDEs}, year={2016} }

We study compactness properties of time-discrete and continuous time BGK-type schemes for scalar conservation laws, in which microscopic interactions occur only when the state of a system deviates significantly from an equilibrium distribution. The threshold deviation, $\epsilon,$ is a parameter of the problem. In the vanishing relaxation time limit we obtain solutions of a conservation law in which flux is pointwisely close (of order $\epsilon$) to the flux of the original equation and derive… Expand

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