Rinaldo M. Colombo, Graziano Guerra
Published 2007-04-19, updated 2007-12-04Version 2
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.
A note on regularity and failure of regularity for systems of conservation laws via Lagrangian formulation
Relative entropy and contraction for extremal shocks of Conservation Laws up to a shift
A geometric approach to error estimates for conservation laws posed on a spacetime
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