A non-monotone conservation law for dune morphodynamics
| Autor: | Alibaud, Nathaël, Azerad, Pascal, Isèbe, Damien |
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| Rok vydání: | 2007 |
| Předmět: | |
| Zdroj: | Differential and integral equations 23 (2010) 155--188 |
| Druh dokumentu: | Working Paper |
| Popis: | We investigate a non-local non linear conservation law, first introduced by A.C. Fowler to describe morphodynamics of dunes, see \cite{Fow01, Fow02}. A remarkable feature is the violation of the maximum principle, which allows for erosion phenomenon. We prove well-posedness for initial data in $L^2$ and give explicit counterexample for the maximum principle. We also provide numerical simulations corroborating our theoretical results. Comment: 26 p |
| Databáze: | arXiv |
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