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Nonlinear Analysis Seminar and Differential Equation Seminar: Fabio Ancona, University of Padova, Italy, Hard congestion limit of the p-system in the BV setting
April 19 | 3:00 pm - 4:00 pm EDT
We are 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, in the framework of BV solutions. We will consider small BV perturbations of reference solutions constituted by (possibly interacting) large interfaces, and we will analyze the dynamics of the corresponding solutions constructed by a front tracking algorithm. This is part of a research in collaboration with R. Bianchini (IAC-CNR, Rome) and C. Perrin (CNRS, Aix Marseille Univ.).