Abstract
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.
Original language | English (US) |
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Pages (from-to) | 694-726 |
Number of pages | 33 |
Journal | Communications in Partial Differential Equations |
Volume | 40 |
Issue number | 4 |
DOIs | |
State | Published - Apr 3 2015 |
Keywords
- BV functions
- Chain rule
- Conservation laws with discontinuous flux
ASJC Scopus subject areas
- Analysis
- Applied Mathematics