Multidimensional Scalar Conservation Laws with Non-Aligned Discontinuous Flux and Singularity of Solutions
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912689505173504 |
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| author | Zajmović, Ajlan |
| author_facet | Zajmović, Ajlan |
| contents | We prove that the family of solutions to vanishing viscosity approximation for multidimensional scalar conservation laws with discontinuous non-aligned flux and zero initial data in the limit generates a singular measure supported along the discontinuity surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_12099 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multidimensional Scalar Conservation Laws with Non-Aligned Discontinuous Flux and Singularity of Solutions Zajmović, Ajlan Analysis of PDEs Mathematical Physics 35L65 We prove that the family of solutions to vanishing viscosity approximation for multidimensional scalar conservation laws with discontinuous non-aligned flux and zero initial data in the limit generates a singular measure supported along the discontinuity surface. |
| title | Multidimensional Scalar Conservation Laws with Non-Aligned Discontinuous Flux and Singularity of Solutions |
| topic | Analysis of PDEs Mathematical Physics 35L65 |
| url | https://arxiv.org/abs/2509.12099 |