Large time behaviour of a conservation law regularised by a Riesz-Feller operator: the sub-critical case
| Autor: | Cuesta, Carlota M., Diez, Xuban |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | We study the large time behaviour of the solutions of a non-local regularisation of a scalar conservation law. This regularisation is given by a fractional derivative of order $1+\alpha$, with $\alpha\in(0,1)$, which is a Riesz-Feller operator. The non-linear flux is given by the locally Lipschitz function $|u|^{q-1}u/q$ for $q>1$. We show that in the sub-critical case, $1 |
| Databáze: | arXiv |
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