Journal article
The Riemann Problem with Delta Initial Data for the Non-Isentropic Improved Aw-Rascle-Zhang Model
Acta mathematica scientia, Vol.43(1), pp.237-258
2023
DOI: 10.1007/s10473-023-0114-7
Abstract
In this paper, we study the Radon measure initial value problem for the non-isentropic improved Aw-Rascle-Zhang model. For arbitrary convex
F
(
u
) in this model we construct the Riemann solutions by elementary waves and
δ
-shock waves using the method of generalized characteristic analysis. We obtain the solutions constructively for initial data containing the Dirac measure by taking the limit of the solutions for that with three piece-wise constants. Moreover, we analyze different kinds of wave interactions, including the interactions of the
δ
-shock waves with elementary waves.
Details
- Title: Subtitle
- The Riemann Problem with Delta Initial Data for the Non-Isentropic Improved Aw-Rascle-Zhang Model
- Creators
- Weifeng Jiang - China Jiliang UniversityTingting Chen - China University of GeosciencesTong Li - University of IowaZhen Wang - Center for Mathematical Sciences and Department of Mathematics, Wuhan University of Technology
- Resource Type
- Journal article
- Publication Details
- Acta mathematica scientia, Vol.43(1), pp.237-258
- Publisher
- Springer Nature Singapore
- DOI
- 10.1007/s10473-023-0114-7
- ISSN
- 0252-9602
- eISSN
- 1572-9087
- Language
- English
- Date published
- 2023
- Academic Unit
- Mathematics
- Record Identifier
- 9984306060102771
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