Kinetic formulation and uniqueness for scalar conservation laws with discontinuous flux
arXiv:1404.5837 · doi:10.1080/03605302.2014.979998
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.
31 pages
References in corpus (2)
Cited by in corpus (8)
- Well-posedness by noise for scalar conservation laws
- Structure of solutions of multidimensional conservation laws with discontinuous flux and applications to uniqueness
- An extension of the pairing theory between divergence-measure fields and BV functions
- On the chain rule formulas for divergences and applications to conservation laws
- Strong traces to degenerate parabolic equations
- Vanishing Viscosity Solutions for Conservation Laws with Regulated Flux
- On the conservation properties in multiple scale coupling and simulation for Darcy flow with hyperbolic-transport in complex flows
- A Godunov type scheme and error estimates for multidimensional scalar conservation laws with Panov-type discontinuous flux