| Tournus Magali (╔cole Centrale de Marseille)
|| Oskar-Morgenstern-Platz 1, H÷rsaal 2, ground floor.
|| Thu, 23. Nov 17, 14:15 |
| Scalar conservation laws with heterogeneous flux in the BV framework |
We consider a scalar conservation law with a flux containing
spatial heterogeneities of bounded variation, where the number of
discontinuities may be infinite. We address the question of existence
of an adapted entropy solution in the BV framework.
A sufficient key condition guaranteeing existence is identified and new
BV estimates are given. This provides the most general BV theory
available. Moreover, we show with a counter-example that if this
hypothesis is violated, the problem may be ill-posed in the BV framework.
- Thematic program: Models in Biology and Medicine (MOBAM-16) (2016/2017)