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 of Bressan, Liu and Yang. c 2007 Elsevier Ltd. All rights reserved.
Colombo, R., Guerra, G. (2008). On the Stability Functional for Conservation Laws. NONLINEAR ANALYSIS, 69(5-6), 1581-1598 [10.1016/j.na.2007.07.012].
On the Stability Functional for Conservation Laws
GUERRA, GRAZIANO
2008
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 of Bressan, Liu and Yang. c 2007 Elsevier Ltd. All rights reserved.
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