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EnglishWe consider the vanishing viscosity approximation of the traffic model, proposed by Lighthill, Whitham, and Richards, on a network composed by a single junction with n incoming and m outgoing roads. We prove that a solution of the parabolic approximation exists and, as the viscosity vanishes, the solution of the parabolic problem converges to a solution of the original problem.
Vanishing Viscosity for Traffic on Networks / COCLITE G; GARAVELLO M. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - 42(2010), pp. 1761-1783.
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| Titolo: | Vanishing Viscosity for Traffic on Networks |
| Autori: | |
| Data di pubblicazione: | 2010 |
| Rivista: | |
| Citazione: | Vanishing Viscosity for Traffic on Networks / COCLITE G; GARAVELLO M. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - 42(2010), pp. 1761-1783. |
| Abstract: | We consider the vanishing viscosity approximation of the traffic model, proposed by Lighthill, Whitham, and Richards, on a network composed by a single junction with n incoming and m outgoing roads. We prove that a solution of the parabolic approximation exists and, as the viscosity vanishes, the solution of the parabolic problem converges to a solution of the original problem. |
| Handle: | http://hdl.handle.net/11586/13244 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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