Hard congestion limit of one-dimensional Euler equations with singular pressure in the BV setting

Meeting Details

For more information about this meeting, contact Rachel Weaver, Toan T. Nguyen, Alberto Bressan.

Speaker: Fabio Ancona, University of Padova

Abstract: The Euler equations with a maximal density constraint (hard congestion model) can be approximated by the system of gas dynamics with a singular pressure law (soft congestion model). I will present a rigorous justification of this singular limit in the setting of BV solutions. We will consider small BV perturbations of reference solutions constituted by (possibly interacting) large shock waves, which represent free/congested interfaces (in fact, this is a free boundary problem). The analysis is based on a front-tracking algorithm and on the introduction of appropriate rescaling of the singular pressure. This is a work in collaboration with R. Bianchini (IAC-CNR, Rome) and C. Perrin (CNRS, Aix Marseille Univ.).

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Room Reservation Information

Room Number: 114 McAllister

Date: 04/17/2024

Time: 2:30pm - 3:30pm