Electronic Resource
Vanishing viscosity for a 2 × 2 system modeling congested vehicular traffic
| العنوان: | Vanishing viscosity for a 2 × 2 system modeling congested vehicular traffic |
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| المؤلفون: | Coclite, G, De Nitti, N, Garavello, M, Marcellini, F, Coclite G. M., De Nitti N., Garavello M., Marcellini F. |
| بيانات النشر: | American Institute of Mathematical Sciences country:US 2021 |
| نوع الوثيقة: | Electronic Resource |
| مستخلص: | We prove the convergence of the vanishing viscosity approximation for a class of 2×2 systems of conservation laws, which includes a model of traffic flow in congested regimes. The structure of the system allows us to avoid the typical constraints on the total variation and the L1 norm of the initial data. The key tool is the compensated compactness technique, introduced by Murat and Tartar, used here in the framework developed by Panov. The structure of the Riemann invariants is used to obtain the compactness estimates. |
| مصطلحات الفهرس: | Compensated compactne, Conservation law, Hyperbolic system, Traffic flow, Vanishing viscosity, info:eu-repo/semantics/article |
| URL: | info:eu-repo/semantics/altIdentifier/wos/WOS:000682774500003 volume:16 issue:3 firstpage:413 lastpage:426 numberofpages:14 journal:NETWORKS AND HETEROGENEOUS MEDIA |
| الاتاحة: | Open access content. Open access content info:eu-repo/semantics/openAccess |
| ملاحظة: | STAMPA English |
| Other Numbers: | ITBAO oai:boa.unimib.it:10281/335869 10.3934/nhm.2021011 info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85117569450 1308941988 |
| المصدر المساهم: | BICOCCA OPEN ARCH From OAIster®, provided by the OCLC Cooperative. |
| رقم الانضمام: | edsoai.on1308941988 |
| قاعدة البيانات: | OAIster |
| الوصف غير متاح. |