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Hard-congestion limit of the p-system in the BV setting.
- Source :
-
ESAIM: Proceedings & Surveys . 2023, Vol. 72, p41-63. 23p. - Publication Year :
- 2023
-
Abstract
- This note is concerned with the rigorous justification of the so-called hard congestion limit from a compressible system with singular pressure towards a mixed compressible-incompressible system modeling partially congested dynamics, for small data in the framework of BV solutions. We present a first convergence result for perturbations of a reference state represented by a single propagating large interface front, while the study of a more general framework where the reference state is constituted by multiple interface fronts is announced in the conclusion and will be the subject of a forthcoming paper. A key element of the proof is the use of a suitably weighted Glimm functional that allows to obtain precise estimates on the BV norm of the front-tracking approximation. [ABSTRACT FROM AUTHOR]
- Subjects :
- *PRESSURE balances
*MANOMETERS
*MANOSTATS
*PRESSURE gages
*IONIZATION gages
Subjects
Details
- Language :
- English
- ISSN :
- 22673059
- Volume :
- 72
- Database :
- Academic Search Index
- Journal :
- ESAIM: Proceedings & Surveys
- Publication Type :
- Conference
- Accession number :
- 171106153
- Full Text :
- https://doi.org/10.1051/proc/202372041