Quasi-static limit for a hyperbolic conservation law
| Autor: | Marchesani, Stefano, Olla, Stefano, Xu, Lu |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Nonlinear Differential Equations and Applications, 28:53, 2021 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00030-021-00716-5 |
| Popis: | We study the quasi-static limit for the $L^\infty$ entropy weak solution of scalar one-dimensional hyperbolic equations with strictly concave or convex flux and time dependent boundary conditions. The quasi-stationary profile evolves with the quasi-static equation, whose entropy solution is determined by the stationary profile corresponding to the boundary data at a given time. Comment: final version |
| Databáze: | arXiv |
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