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arXiv · 0704.2491

On the Stability Functional for Conservation Laws

Rinaldo M. Colombo·Graziano Guerra
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Abstract

This note is devoted to the explicit construction of a functional defined on all pairs of $\L1$ functions with small total variation, which is equivalent to the $\L1$ distance and non increasing along the trajectories of a given system of conservation laws. Two different constructions are provided, yielding an extension of the original stability functional by Bressan, Liu and Yang.

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Rinaldo M. Colombo, Graziano Guerra. 2007-12-04. On the Stability Functional for Conservation Laws. https://arxiv.org/abs/0704.2491

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