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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.01703 |
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| _version_ | 1866913490609897472 |
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| author | Bociu, Lorena Ftaka, Evangelia Nguyen, Khai T. Schino, Jacopo |
| author_facet | Bociu, Lorena Ftaka, Evangelia Nguyen, Khai T. Schino, Jacopo |
| contents | The present paper establishes a local well-posed result for piecewise regular solutions with single shock of scalar balance laws with singular integral of convolution type kernels. In a neighborhood of the shock curve, a detailed description of the solution is provided for a general class of initial data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_01703 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Piecewise regular solutions to scalar balance laws with singular nonlocal sources Bociu, Lorena Ftaka, Evangelia Nguyen, Khai T. Schino, Jacopo Analysis of PDEs The present paper establishes a local well-posed result for piecewise regular solutions with single shock of scalar balance laws with singular integral of convolution type kernels. In a neighborhood of the shock curve, a detailed description of the solution is provided for a general class of initial data. |
| title | Piecewise regular solutions to scalar balance laws with singular nonlocal sources |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2409.01703 |