Shadow wave solutions for a scalar two-flux conservation law with Rankine-Hugoniot deficit
| Autor: | Krunić, Tanja, Nedeljkov, Marko |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | The paper deals with scalar conservation laws having a flux discontinuity at $x=0$ without a weak solution that satisfies the classical Rankine--Hugoniot jump condition at $x=0$. We are using unbounded solutions in the form of shadow waves supported by the origin for solving that problem. The shadow waves are nets of piecewise constant functions approximating a shock wave with added a delta function and sometimes another unbounded part. Comment: 18 pages, 6 figures |
| Databáze: | arXiv |
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