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arXiv · 2312.07972

Particle approximation of initial data for systems of conservation laws in two dimensions

Florent Berthelin
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Abstract

In this paper, we prove particle approximations of initial data for systems of conservation laws in two dimensions. This involves approaching the density but also all the additional quantities that could be verified by the model considered. We prove that according to the hypothesis of regularity or support, the speed of convergence is of form C/N or C/N^2 .

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Florent Berthelin. 2023-12-13. Particle approximation of initial data for systems of conservation laws in two dimensions. https://arxiv.org/abs/2312.07972

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