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arxiv: 1404.5837 · v2 · pith:5VYVZOMDnew · submitted 2014-04-23 · 🧮 math.AP

Kinetic formulation and uniqueness for scalar conservation laws with discontinuous flux

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keywords fluxconservationdiscontinuouskineticlawsscalaruniquenessalong
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We prove a uniqueness result for BV solutions of scalar conservation laws with discontinuous flux in several space dimensions. The proof is based on the notion of kinetic solution and on a careful analysis of the entropy dissipation along the discontinuities of the flux.

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