Explicit solution for the hyperbolic homogeneous scalar one-dimensional conservation law
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917945323552768 |
|---|---|
| author | Clamond, Didier |
| author_facet | Clamond, Didier |
| contents | A complex integral formula provides an explicit solution of the initial value problem for the nonlinear scala 1D equation $u_t+[f(u)]_x = 0$, for any flux $f(u)$ and initial condition $u_0(x)$ that are analytic. This formula is valid at least as long as $u$ remains analytic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_02111 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Explicit solution for the hyperbolic homogeneous scalar one-dimensional conservation law Clamond, Didier Analysis of PDEs Mathematical Physics Exactly Solvable and Integrable Systems A complex integral formula provides an explicit solution of the initial value problem for the nonlinear scala 1D equation $u_t+[f(u)]_x = 0$, for any flux $f(u)$ and initial condition $u_0(x)$ that are analytic. This formula is valid at least as long as $u$ remains analytic. |
| title | Explicit solution for the hyperbolic homogeneous scalar one-dimensional conservation law |
| topic | Analysis of PDEs Mathematical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2502.02111 |