1. Hard-congestion limit of the p-system in the BV setting.
- Author
-
Ancona, Fabio, Bianchini, Roberta, and Perrin, Charlotte
- Subjects
- *
PRESSURE balances , *MANOMETERS , *MANOSTATS , *PRESSURE gages , *IONIZATION gages - 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]
- Published
- 2023
- Full Text
- View/download PDF