Inviscid Burgers as a degenerate elliptic problem
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909227019141120 |
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| author | Kouskiya, Uditnarayan Acharya, Amit |
| author_facet | Kouskiya, Uditnarayan Acharya, Amit |
| contents | We demonstrate the feasibility of a scheme to obtain approximate weak solutions to the (inviscid) Burgers equation in conservation and Hamilton-Jacobi form, treated as degenerate elliptic problems. We show different variants recover non-unique weak solutions as appropriate, and also specific constructive approaches to recover the corresponding entropy solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_08814 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Inviscid Burgers as a degenerate elliptic problem Kouskiya, Uditnarayan Acharya, Amit Numerical Analysis Mathematical Physics Analysis of PDEs We demonstrate the feasibility of a scheme to obtain approximate weak solutions to the (inviscid) Burgers equation in conservation and Hamilton-Jacobi form, treated as degenerate elliptic problems. We show different variants recover non-unique weak solutions as appropriate, and also specific constructive approaches to recover the corresponding entropy solutions. |
| title | Inviscid Burgers as a degenerate elliptic problem |
| topic | Numerical Analysis Mathematical Physics Analysis of PDEs |
| url | https://arxiv.org/abs/2401.08814 |